Reference
Cellular automata
Miscellaneous
- : Micmaths📡, Mathsdrop📡, 𝕏
- Choux romanesco, Vache qui rit et intégrales curvilignes⇈ (): YouTube📡, 𝕏
- Automaths (): YouTube📡, 𝕏
- 3blue1brown⇈ (): YouTube📡, 𝕏
- Numberphile↑: YouTube📡, YouTube second channel📡, 𝕏
- blackpenredpen (): YouTube📡, 𝕏
- Flammable Maths (): YouTube📡, 𝕏
- Mathloger (): YouTube📡, YouTube second channel📡, 𝕏
- PBS Infinite Series📡(, , )
- Dr. Peyam’s Show📡()
- Think Twice: YouTube📡, 𝕏
- Stand-up Maths (): YouTube📡, Matt_Parker_2📡
- Centre Henri Lebesgue📡
- Le Myriogon: YouTube📡, 𝕏
- Octave
- Conway’s Game of Life
- Mathématiques magiques
- Inclass@blεs Mathématiqu€s
- The Aperiodical
- Infinity Plus One↑
- Mathematical Enchantments
- Images des mathématiques
- Terence Tao’s blog
- Institut Henri Poincaré
- Voyages au pays des maths⇈
- Thomaths (, ): YouTube📡, 𝕏
- Quadriviuum Tremens (, ): YouTube📡, 𝕏
- Mathématiques, L'explosion continue
Articles and videos
- On proof and progress in mathematics↑ by (April 1994) ► Some thought about mathematicians, among them the fact that their job is not to prove theorems but to communicate ideas.
- ↪William Thurston "On proof and progress in mathematics" by (4 June 2021) ► An extract of the previous essay.
- La symétrie ici et là↓ by (17 December 2000) ► It is a pity that, given the speaker, the level of the presentation is so low and the last part, which gets philosophical, could have been more interesting if it had been better presented.
- The physics of the Web by (July 2001) ► A further Web analysis: the Web appears to be a network ruled by a power-law distribution.
- Demain : quel temps ? Un mathématicien en visite chez Chronos↓ by (26 November 2003) ► The presentation of some subjects more or less linked to time, but their presentation is very high-level, so you have to know about them beforehand, and the connection between the subjects is unclear.
- Fast Route Planning by (23 March 2009) ► After a quick presentation of the algorithm, presents some current uses and some possible future improvements to more complex problems.
- The Church-Turing Thesis: Story and Recent Progress by (8 June 2009) ► The premises of Church-Turing thesis, the thesis itself and the current work on it (abstract state machines).
- Learning Low Dimensional Manifolds by (9 October 2009) ► presents the random projection trees algorithm used to extract the few intrinsic dimensions in a highly-constrained high-dimensional system.
- 3 is everywhere - Numberphile by (1 April 2012) ► The percentage of numbers containing 3 tends toward 100% when considering more and more numbers.
- Des particules, des étoiles et des probabilités by (2 May 2012) ► From the study of system solar stability to a proof of Landau damping.
- One to One Million - Numberphile by (16 August 2012) ► The usual story about Gauss’ integer sum and adding all the digits of numbers from 1 to 1000000.
- Infinity Paradoxes - Numberphile by (15 July 2013) ► Four paradoxes with infinity: Hilbert’s hotel, Gabriel’s trumpet, the puzzle of the dartboard, double your money.
- Fifth Root Trick - Numberphile by (15 February 2014) ► A trick to calculate fifth root in one’s head.
- [François Sauvageot] One-maths show ! Et si on parlait des maths ? by (21 February 2014) ► Miscellaneous mathematical trivia.
- New Wikipedia sized proof explained with a puzzle by (24 February 2014) ► Erdős discrepancy problem has been proved for C=2 using a computer.
- Order from Chaos - Numberphile by (27 April 2014) ► Arranging 0, 1… 9 so there is no four digits in ascending or descending order.
- The Scientific Way to Cut a Cake - Numberphile↓ by (17 June 2014) ► A simple way to cut a round cake so this one does not get dry.
- ↪Cake Cutting (An Extra Slice) by (19 June 2014) ► The continuation of the previous video.
- The Most Difficult Program to Compute? - Computerphile by (1 July 2014) ► A presentation of Ackermann function.
- Wobbly Circles - Numberphile by (8 September 2014) ► A very simple triangle problem, but the proof that the centre of mass is always at the same height is missing…
- Deux minutes pour les boeufs d'Hélios by (9 October 2014) ► The crazy Archimedes’s cattle problem was solved in 1880 by Amthor.
- Topos de Grothendieck by (December 2014) ► describes some examples of topos in order to transmit some feeling about this theory.
- LA PLACE DE LA THEORIE DES CATEGORIES EN MATHEMATIQUES by , , , , , , , , and (17 December 2014) ► A debate on the usefulness of the category theory, but, in fact, all participants agree that it is useful.
- The Man Who Tried to Redeem the World with Logic — Walter Pitts rose from the streets to MIT, but couldn’t escape himself. by (5 February 2015) ► The life of who worked with , , and , to understand how the brain works.
- Heptadecagon and Fermat Primes (the math bit) - Numberphile by (16 February 2015) ► Constructible angles and Fermat numbers.
- The 'Everything' Formula - Numberphile by (15 April 2015) ► Tupper’s self-referential formula.
- Funny Fractions and Ford Circles - Numberphile by (9 June 2015) ► An introduction to Farey Sequences and the (unexplained) fact that they appear in Ford circles.
- Answer to a 150-Year-Old Math Conundrum Brings More Mystery — A 150-year-old conundrum about how to group people has been solved, but many puzzles remain. by (20 June 2015) ► proved a major advance in block design.
- How many chess games are possible? - Numberphile by (24 July 2015) ► Several persons tried to evaluate the number of possible chess games.
- Martin Gardner 101 by (30 July 2015) ► Some information about .
- Les fractions continues by (21 August 2015) ► Continued fractions and Khinchin’s constant.
- Deux (deux ?) minutes pour... Newroz by (11 October 2015) ► A presentation of Venn Diagrams.
- Vulgarizators 2.0 - MICMATHS - L'élégance en mathématiques by (21 November 2015) ► Some well-known problems having a simple elegant solution: the mutilated chessboard, the sum of integers…
- Freaky Dot Patterns - Numberphile by (23 December 2015) ► Moiré Patterns.
- Shapes and Hook Numbers - Numberphile by (8 January 2016) ► Standard Young tables and Hook lengths.
- ↪Shapes and Hook Numbers (extra footage) by (6 February 2016) ► The continuation of the previous video.
- The Mathematics of Crime and Terrorism - Numberphile by (3 February 2016) ► Hawkes Process.
- Victor Kleptsyn - Le théorème du cercle arctique by (4 February 2016) ► A presentation of the arctic circle theorem.
- Loïc Le Marrec - Comment représenter les contraintes mécaniques ? by (3 March 2016) ► The title says it all, but there is little here, just the fact that maths are used to model physics.
- Benoît Grébert - Du ressort à l'atome, une histoire de résonance... by (15 March 2016) ► An example of coupled oscillators and resonance.
- Perplexing Paperclips - Numberphile by (26 April 2016) ► Trying to predict how to paperclips and two rubber bands will behave when placed on a strip of paper that is unfolded.
- ↪Subtracting Paperclips - Numberphile by (2 May 2016) ► The continuation of the previous video.
- Consecutive Coin Flips - Numberphile by (8 June 2016) ► Average waiting time to get heads-heads vs. average waiting time to get heads-tails.
- Bernard Le Stum - Perfectoïdes by (9 June 2016) ► An introduction to perfectoid fields.
- Top 5 des problèmes de maths simples mais non résolus - Micmaths by (23 July 2016) ► The Collatz conjecture, the Ramsey numbers, the Lychrel numbers, the chromatic number of the plane, and the multiplicative persistence.
- Stars and Bars (and bagels) - Numberphile by (25 July 2016) ► How to compute the number of ways to choose 12 bagels when 4 flavours are available.
- The Flaw in Reductio Ad Absurdum⇊🚫 by (31 July 2016) ► The subject of provability is interesting, but the author does not master it and this video is just gibberish.
- Ramanujan's infinite root and its crazy cousins by (10 September 2016) ► About infinite expressions and the meaning of these.
- The Josephus Problem - Numberphile by (28 October 2016) ► The title says it all.
- The Shortest Ever Papers - Numberphile by (7 December 2016) ► Some very short scientific papers: a counter-example of Euler conjecture, Nash’s seminal paper on game theory…
- Can You Solve the Poison Wine Challenge? | Infinite Series | PBS Digital by (15 December 2016) ► Very basic stuff, this is only about binary representations. It is a pity she gives the solution of the puzzle at the very beginning.
- Can We Hear Shapes? | Infinite Series | PBS Digital Studios by (22 December 2016) ► Can two different 2D shapes be isospectral?
- Singularities Explained | Infinite Series by (19 January 2017) ► Some examples of mathematical singularities in the real world.
- The Map of Mathematics by (1 February 2017) ► Trying to draw a 2D map of the different domains of mathematics.
- La théorie des types | Infini 24 by (13 February 2017) ► A short presentation of type theory.
- ↪L'axiome d'univalence | Infini 25 by (20 February 2017) ► The title says it all.
- Infinite Chess | Infinite Series by (2 March 2017) ► An introduction, first, on Zermelo’s theorem, then on infinite chess.
- 5 Unusual Proofs | Infinite Series by (9 March 2017) ► A presentation of some tools used in demonstrations by applying them in simple proofs.
- Pascal's Triangle - Numberphile by (10 March 2017) ► Some properties of Pascal’s triangle.
- Mickaël Launay : Le mystère de la farfalle - Tournée de Pi 2017 by (14 March 2017) ► Some mathematical humour about pasta.
- Building an Infinite Bridge | Infinite Series by (4 May 2017) ► How to stack bricks to get the longest overhang.
- Apéry's constant (calculated with Twitter) - Numberphile by (4 May 2017) ► The history of Apéry’s finding and how to evaluate it using random triplets of integers.
- Basile PIllet - Cohomologie des figures impossibles by (5 May 2017) ► Proving that Penrose’s triangle cannot exist.
- The Devil's Staircase | Infinite Series by (19 May 2017) ► Cantor set and Cantor function.
- Les chiffres... arabes ? - MLTP#17 by (6 June 2017) ► The origins of the Arabic numerals.
- The Impossible Mathematics of the Real World — Near-miss math provides exact representations of almost-right answers. by (8 June 2017) ► Some anecdotes of mathematical near-misses, but there is little explanation on how these can be exploited.
- Stochastic Supertasks | Infinite Series by (11 August 2017) ► A randomised extension of Ross-Littlewood Paradox.
- When do clock hands overlap? - Numberphile by (17 August 2017) ► The title says it all.
- How to Generate Pseudorandom Numbers | Infinite Series by (13 October 2017) ► Two pseudorandom number algorithms (the middle-square algorithm and the linear congruential generator) and inverse transform sampling.
- Crisis in the Foundation of Mathematics | Infinite Series by (19 October 2017) ► How mathematics build pieces on top of other pieces and a quick presentation of logicism.
- Pancake Numbers - Numberphile by (27 October 2017) ► Pancake sorting.
- The Ideal Auction - Numberphile by (1 November 2017) ► Different types of auction system and some comments about them.
- La conjugaison complexe est un automorphisme de corps - Micmaths by (3 November 2017) ► Explaining a non-trivial mathematical sentence.
- Hilbert's 15th Problem: Schubert Calculus | Infinite Series by (10 November 2017) ► A quick presentation of Schubert Calculus and of a simple puzzle, but the relationship is not explained.
- The Multiplication Multiverse | Infinite Series by (23 November 2017) ► Loop concatenation is non-associative.
- ↪Associahedra: The Shapes of Multiplication | Infinite Series by (30 November 2017) ► The continuation of the previous video. A fast-paced mind-boggling introduction to homotopy, associahedra, and Catalan Numbers.
- Trajectoires #12 - Décembre 2017 - Cadeaux mathématiques de Noël by , , , , and (25 December 2017) ► Some well-known mathematical memes.
- Calculating a Car Crash - Numberphile↓ by (17 January 2018) ► Some very simple calculation on kinetic energy.
- How to Divide by "Zero" | Infinite Series by (1 February 2018) ► A basic introduction to quotient sets.
- Telling Time on a Torus | Infinite Series by (15 February 2018) ► Finding out when clock hands could be exchanged and we would still get a valid hour, by using a torus shape.
- [Hervé Lehning] Les mathématiques pour comprendre le monde↓ by (20 February 2018) ► is marketing his book with basic well-known mathematics-anecdotes.
- The Geometry of SET | Infinite Series by (15 March 2018) ► Using ℤ/nℤ to analyse Set (the game).
- Number Sticks - Numberphile by (15 March 2018) ► A simple clever calculation trick.
- Winding numbers and domain coloring by (24 March 2018) ► A colourful introduction to winding numbers.
- Patrick Dehornoy - Deux malentendus de la théorie des ensembles by (27 March 2018) ► Correcting two misunderstandings: Von Neuman ordinals are not the only way to define integers, the continuum hypothesis is independent of ZFC but could be solved by adding axioms.
- Arithmetic mean vs Geometric mean | inequality among means | visual proof by (5 April 2018) ► A visual proof that the geometric mean is smaller than the arithmetic mean.
- Universal Method to Sort Complex Information Found — The nearest neighbor problem asks where a new point fits into an existing data set. A few researchers set out to prove that there was no universal way to solve it. Instead, they found such a way. by (13 August 2018) ► Some progress has been done on the nearest neighbour problem, but the article gives little explanation on these recent papers.
- Antipodal Points - Numberphile by (22 August 2018) ► An elegant (but not rigorous) proof of the fact that, if a sphere is split in two parts of the same area, it is possible to find a pair of antipodal points, one in each part.
- Bernard Le Stum - D'Ostrowski à Berkovich by (23 September 2018) ► A technical description of the application of Berkovich spaces on Ostrowski’s theorem.
- A Proof About Where Symmetries Can’t Exist — In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture. by (23 October 2018) ► A proof of Zimmer’s conjecture has been done, but this article cannot really describe such abstract mathematics.
- Primes on the Moon (Lunar Arithmetic) - Numberphile by (7 November 2018) ► A presentation of "lunar arithmetic" (previously known as "dismal arithmetic") and some properties of this one.
- 𝕋urning a 𝔽unction into a ℝecursive 𝔽ormula?!↓ by (10 December 2018) ► Unclear, very slow, and poor humour.
- The Trapped Knight - Numberphile by (24 January 2019) ► An algorithm for moving a knight surprisingly gives a very long but finite path.
- How a Strange Grid Reveals Hidden Connections Between Simple Numbers — A long-standing puzzle seems to constrain how addition and multiplication relate to each other. A graduate student has gone further than anyone else in establishing the connection. by (6 February 2019) ► A presentation of the sum-product phenomenon.
- 1010011010 - Numberphile by (11 February 2019) ► The explanation of two mathematics pieces present in Futurama.
- ↪1010011010 (extra footage) - Numberphile by (20 February 2019) ► The continuation of the previous video.
- Les cubes de Langford - Automaths #11🚫 by (12 February 2019) ► Some simple rules, a rather complex problem and a simple solution.
- Who Mourns the Tenth Heegner Number? by (16 February 2019) ► A description of Heegner Numbers and the frustration when you spend a long time studying a mathematical object to finally discover that it does not exist.
- Russell's Paradox - A Ripple in the Foundations of Mathematics by (25 March 2019) ► ’s work and ’s paradox.
- Démonstrations, illusions et Fibonacci - Speed Maths #07 by (1 May 2019) ► The danger of "visuals proofs".
- Don't Know (the Van Eck Sequence) - Numberphile by (10 June 2019) ► A simply defined sequence, but few things are known about it.
- Des fromages suisses à Pink Floyd by (July 2019) ► About the naming of mathematical entities.
- Are odd-numbered mobius-loop cogs possible? by (18 July 2019) ► Creating a loop with an even number of cogs by placing them on a Möbius strip.
- Decades-Old Computer Science Conjecture Solved in Two Pages — The “sensitivity” conjecture stumped many top computer scientists, yet the new proof is so simple that one researcher summed it up in a single tweet. by (25 July 2019) ► An explanation of the sensitivity conjecture and its proof.
- The unexpectedly hard windmill question (2011 IMO, Q2) by (4 August 2019) ► Solving an unusual problem (question C3 of IMO 2011).
- Solving An Insanely Hard Problem For High School Students by (5 August 2019) ► What the functions £[\mathbb{Z} \rightarrow \mathbb{Z}£] such that, for all integers £[a£] and £[b£], £[f(2a)+2f(b)=f(f(a+b))£]?
- Can we film a stroboscopic helicopter? by (12 August 2019) ► An expensive and polluting way to demonstrate the stroboscopic effect.
- Darts in Higher Dimensions (with 3blue1brown) - Numberphile by (17 November 2019) ► A puzzle mixing probabilities, hyperspheres and series expansions.
- Solving An INSANELY Hard Viral Math Problem by (5 December 2019) ► Given that £[x+y+z=1£], £[x^2+y^2+z^2=2£] and £[x^3+y^3+z^3=3£], compute £[x^5+y^5+z^5£].
- Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile by (8 December 2019) ► gives some feeling about the meaning of the Duffin–Schaeffer conjecture he proved with .
- Famous Fluid Equations Spring a Leak — Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one. by (18 December 2019) ► An example of a system driven by Euler equations that generates a singularity has been found.
- Synchronising Metronomes in a Spreadsheet by (28 December 2019) ► Implementing the Kuramoto model in Excel.
- Solving the Three Body Problem by (20 January 2020) ► An overview of the solutions found for the 3 body problem.
- La commutativité ou l'art de retourner la situation by (13 March 2020) ► An introduction to commutativity and non-commutativity.
- Le barman aveugle avec des gants de boxe - Myriogon #1 by and (16 March 2020) ► Some medals and Černý conjecture.
- On discute - FAQ - Myriogon #3 by and (18 March 2020) ► Miscellaneous subjects.
- [17h] Ces figures sorties de nulle part, avec Robin Jamet - Myriogon #11 by and (2 April 2020) ► How to draw cardioid or a nephroid with lines.
- Comment gagner à tous les coups ? - Myriogon #14 by (8 April 2020) ► An analysis of Nim (with Dr. Nim) and a variant.
- [17h !] Cabinet de curiosités mathématiques avec Robin, Laure et Guillaume - Myriogon #15 by and (9 April 2020) ► π digits, elliptical pool tables, knots and a fractional clock.
- π = 2 - Speed Maths #09 by (13 April 2020) ► A classic example of badly handling limits.
- Réééécriture, avec Roooogerr Maaaannsuy - Myriogon #16 by and (13 April 2020) ► Term rewriting and Hans Zantema’s theorem.
- Dessiner un éléphant avec un seul paramètre — Reproduire n’importe quel jeu de données en nombre fini, par exemple des points qui esquissent la silhouette d’un animal : c’est l’exploit que permet une fonction paramétrisée par un unique nombre réel.↑ by (21 April 2020) ► A single function with a single paramater that can be used to fit any number of points to any given precision (the original paper is here).
- Cabinet de curiosités mathématiques : les icones, avec Robin Jamet - Myriogon #21 by and (23 April 2020) ► Pascal’s triangle, dual polyhedra, epicycloids, and Klein bottle.
- La conjecture de Hadamard, LMSB #4 by (27 April 2020) ► A description of Hadamard conjecture (but the definition of a Hadamard matrix is unclear) and some progress toward its proof.
- Voyages mathématiques avec Robin Jamet - Myriogon #24 by and (29 April 2020) ► Visiting some places with Street View and some mathematical musings, mostly about geometry.
- Matrix Factorization - Numberphile by (16 May 2020) ► Some information about matrices and polynomials.
- The ‘Useless’ Perspective That Transformed Mathematics — Representation theory was initially dismissed. Today, it’s central to much of mathematics. by (9 June 2020) ► A simple presentation of the representation theory.
- What is the best way to lace your shoes? Dream proof. by (20 June 2020) ► Proving the shortest and the strongest lacings.
- ↪Stacks of Hats (extra) - Numberphile by (6 July 2020) ► The continuation of the previous video: ’s open problem about infinite hat stacks.
- Squares and Tilings - Numberphile by (12 August 2020) ► Discrete and continuous harmonic functions.
- A Clever Solution by (16 August 2020) ► Given that £[(x+\sqrt{1+x^2})(y+\sqrt{1+y^2})=1£], what is the value of £[(x+y)^2£]?
- Étienne Mémin - Représentations stochastiques d’écoulements géophysiques by (26 August 2020) ► The title says it all, but there is no explanation for those who know little about the subject.
- Thomaths 10 : 4 phénomènes mathématiques du quotidien by (15 October 2020) ► The Kelvin wake pattern, resonances, caustics, and projective geometry.
- The hardest "What comes next?" (Euler's pentagonal formula)↑ by (17 October 2020) ► Euler’s Pentagonal Number Theorem and partitions.
- MétaMaths 1 - Introduction à la Cognition Mathématique by (19 October 2020) ► The basic learnings of a child that will be the foundations for understanding mathematics later.
- Le calcul qui divise : 6÷2(1+2) - Micmaths by (17 November 2020) ► The history of the operator symbols and priorities, and some thoughts about this type of debate.
- MQD 1 : Variété Différentielle ? by (28 November 2020) ► A presentation of differentiable manifolds.
- Briller en société #40: La théorie des origamis by (4 December 2020) ► Some basics about mathematical theories and the origami one.
- [AVENT MATHS] : 18 pentominos🚫 by (18 December 2020) ► Some small information about pentominoes.
- The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes? by (24 December 2020) ► Kasteleyn’s formula, using a matrix determinant to compute the number of possible domino tilings, and the arctic circle theorem.
- Mathematicians Set Numbers in Motion to Unlock Their Secrets — A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. by (22 February 2021) ► Using dynamical systems in number theory, , , and made progress on proving the Manin-Mumford conjecture.
- New Algorithm Breaks Speed Limit for Solving Linear Equations — By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic computations in math and computer science. by (8 March 2021) ► The title says it all.
- Thomaths a 1 an - F.A.Q, sillage et coulisses by and (30 March 2021) ► Some information about and the Kelvin wake pattern.
- Mathematicians Find Long-Sought Building Blocks for Special Polynomials — Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. by (25 May 2021) ► Hilbert’s 12th problem has been solved for totally real number fields using p-adic L-functions.
- Mathematicians Prove Symmetry of Phase Transitions — A group of mathematicians has shown that at critical moments, a symmetry called rotational invariance is a universal property across many physical systems. by (8 July 2021) ► The subtitle says it all.
- Fonctions qui préservent les sommes de carrés par Jamil-1 by (8 July 2021) ► What are the functions from £[\mathbb{N}£] to £[\mathbb{R}^{+}£] such that £[f(1)=1£] and £[f(a^2+b^2)=f(a)^2+f(b)^2£]?
- ↪Fonctions qui préservent les sommes de carrés par Jamil-2 by (8 July 2021) ► The continuation of the previous video.
- A Problem with Rectangles - Numberphile by (31 July 2021) ► The resolution of a combinatorics problem.
- ↪Rectangle Problem (extra) - Numberphile by (1 August 2021) ► The continuation of the previous video.
- Mathematics is all about SHORTCUTS - Numberphile by (8 August 2021) ► Miscellaneous ideas about mathematics.
- Comment naît un THÉORÈME ?↓ by (20 August 2021) ► This description of the difference between a conjecture and a theorem is not using a good example.
- Music on a Clear Möbius Strip - Numberphile by (17 October 2021) ► The mathematical structure of some compositions of .
- Nuées d'oiseaux, chips paraboliques et feux de forêts : 31 trucs mathématiques un peu random by (12 November 2021) ► The title says it all.
- Why it’s mathematically impossible to share fair by (26 November 2021) ► The mathematics of apportionment.
- Trajectoires #20: D'honnêtes Mathématiques by , , , , and (30 November 2021) ► Miscellaneous subjects: honest functions vs. pathological functions, computable numbers, Brouwer’s intuitionism…
- Hitomezashi Stitch Patterns - Numberphile by (6 December 2021) ► A simple algorithm to generate pictures.
- Omicron (the symbol) in Mathematics - Numberphile by (9 December 2021) ► Greek numerals and ’s variation of big-O notation.
- A tale of two problem solvers | Average cube shadow area by (20 December 2021) ► Two ways to do mathematics: intuition vs. calculation.
- The Plotting of Beautiful Curves (Euler Spirals and Sierpiński Triangles) - Numberphile by (1 February 2022) ► The title says it all: some nice drawings using turtle plotting.
- ↪Plotting Pi and Searching for Mona Lisa - Numberphile by (2 February 2022) ► The continuation of the previous video.
- Une ondelette pour les compresser toutes - Deux (deux ?) minutes pour... by (25 February 2022) ► A basic introduction of wavelets for image compression.
- ↪Rencontre EchoScientifique : El Jj & Sandrine Anthoine by and (25 February 2022) ► More information about wavelets and their use in tomography.
- Why don't Jigsaw Puzzles have the correct number of pieces? by (3 March 2022) ► Trying to determine the number of pieces of a jigsaw puzzle given its rounded number and its size ratio.
- Mastermind with Steve Mould by and (20 March 2022) ► Some strategies to solve Mastermind.
- Ce que vous ne savez pas sur le morpion - Aline Parreau by (29 March 2022) ► There are still some open questions when playing tic-tac-toe with longer rows on an infinite board.
- ↪Morpion et jeux positionnels - Aline Parreau by (9 May 2022) ► The continuation of the previous video: maker/maker games vs. maker/breaker games.
- I found Amongi in the digits of pi!↓ by (29 April 2022) ► I do not see the point in this video.
- How to write 100,000,000,000,000 poems - Numberphile by (3 May 2022) ► Some creations of Oulipo.
- A number NOBODY has thought of - Numberphile by (17 May 2022) ► A very suspicious estimation of how large should be a number so we are 99% sure it has never been thought of before.
- How to lie using visual proofs by (3 July 2022) ► Detecting the errors in three incorrect "proofs".
- The Nescafé Equation (43 coffee beans) - Numberphile↓ by (13 August 2022) ► Some thinking about units and resolving some trivial equations.
- ↪43 Beans (Alternative Video Ending) - Numberphile by (20 September 2022) ► The continuation of the previous video.
- What A General Diagonal Argument Looks Like (Category Theory)↑ by (16 August 2022) ► Explaining that the diagonal argument is generic and using it for Cantor’s diagonal, the halting problem, the liar paradox, and Russel’s paradox.
- FACTORISER x⁴ + 4y⁴ - en route vers la prépa LLG by (23 August 2022) ► The title says it all, but the guy does not know Sophie Germain identity.
- ‘Monumental’ Math Proof Solves Triple Bubble Problem and More — The decades-old Sullivan’s conjecture, about the best way to minimize the surface area of a bubble cluster, was thought to be out of reach for three bubbles and up — until a new breakthrough result. by (6 October 2022) ► The subtitle says it all.
- 2 to a matrix by (17 December 2022) ► Calculating £[2^{\begin{bmatrix}-1 & 2\\-6 & 6\end{bmatrix}}£].
- Google Researcher, Long Out of Math, Cracks Devilish Problem About Sets — On nights and weekends, Justin Gilmer attacked an old question in pure math using the tools of information theory. by (3 January 2023) ► used information theory to find a lower bound for the frequency of an element in the sets of a union-closed collection.
- Was Michael Jackson's hair catching fire in a Pepsi ad the exact mid-point of his life?↓ by (17 March 2023) ► A stupid computation: trying to evaluate ’s mid life date/time.
- Is There Math Beyond the Equal Sign? — Can mathematics handle things that are essentially the same without being exactly equal? Category theorist Eugenia Cheng and host Steven Strogatz discuss the power and pleasures of abstraction. by and (22 March 2023) ► A non-technical presentation of the category theory.
- Didier Robert - Le Théorème Adiabatique Quantique by (29 March 2023) ► This presentation of the adiabatic theorem requires a high level in mathematics.
- 3 histoires pour nos 3 ans ! by and (30 March 2023) ► 2D shapes with a constant width, Shadoks counting, ’s numbers, and ’s pendulum clock.
- The Math of Species Conflict - Numberphile↓ by (30 March 2023) ► A very unclear description of a dynamic system.
- Go First Dice - Numberphile by (18 April 2023) ► The problem of “Go First Dice”: dice that can be used to fairly define the order of n persons.
- How Can Some Infinities Be Bigger Than Others? — All infinities go on forever, so how is it possible for some infinities to be larger than others? The mathematician Justin Moore discusses the mysteries of infinity with Steven Strogatz.↑ by and (19 April 2023) ► From the well-known Cantor’s diagonal, to ZFC, and the foundational axioms of Mathematics.
- The Number 15 Describes the Secret Limit of an Infinite Grid — The “packing coloring” problem asks how many numbers are needed to fill an infinite grid so that identical numbers never get too close to one another. A new computer-assisted proof finds a surprisingly straightforward answer. by (20 April 2023) ► The subtitle says it all.
- First-Year Graduate Student Finds Paradoxical Set — No two pairs have the same sum; add three numbers together, and you can get any whole number. by (5 June 2023) ► A Sidon sequence has been found that can generate any number by adding three of its elements.
- RACOMPTE 1 - Des fractions aux fractales by (19 July 2023) ► From continued fractions to SL2(ℤ), Farey tiling, Ford circles, and Apollonian gaskets.
- Why don't they teach simple visual logarithms (and hyperbolic trig)? by (5 August 2023) ► How the fact that a hyperbola is invariant to squeeze mapping is linked to the logarithm.
- Unsolved Math: The No-Three-In-Line Problem #SOME3 by (13 August 2023) ► Some analysis of the no-three-in-line problem.
- Why Mathematical Proof Is a Social Compact — Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. by and (31 August 2023) ► The acceptation of a proof is a social fact and depends on the current culture of the mathematicians.
- Alan Turing and the Power of Negative Thinking — Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms. by (5 September 2023) ► A presentation of Turing’s proof and its use of the diagonal agument.
- Mathematicians Cross the Line to Get to the Point — A new paper establishes a long-conjectured bound about the size of the overlap between sets of lines and points. by (25 September 2023) ► This article gives too little details to be interesting.
- L' Entscheidungsproblem- La fin des mathématiques ? (⧉) by (10 October 2023) ► , , and and the theoretical bases for computability.
- La toupie de Kovalevskaïa ou la meilleure façon de tourner (⧉) by (10 October 2023) ► The results of , , and on the rotation of a rigid body under the influence of gravity.
- What are these strange dice? - Numberphile by (27 November 2023) ► Some new types of dice.
- ↪What are these strange dice? (Part 2) - Numberphile by (28 November 2023) ► The continuation of the previous video.
- ‘A-Team’ of Math Proves a Critical Link Between Addition and Sets — A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it with a computer-assisted proof. by (6 December 2023) ► , , , and proved Marton’s conjecture and the proof has been verified using Lean.
- Thomaths 24 : Les maths cachées du quotidien by and (9 December 2023) ► Bézier curves, tilings, and gears.
- Un anti-problème de Hilbert résolu après 60 ans - Micmaths by (13 February 2024) ► An infinite game of Beggar-My-Neighbour has been found.
- The mystery of 0.8660254037844386467637231707529361834714026269051903140279034897...↓ by (13 February 2024) ► Some occurrences of £[\frac{\sqrt{3}}{2}£]. What’s the point?
- The beautiful maths which makes 5G faster than 4G, faster than 3G, faster than... by (29 February 2024) ► A basic presentation of binary phase-shift keying, quadrature phase-shift keying, and quadrature amplitude modulation, but there is no explanation of how demodulation is performed.
- New Breakthrough Brings Matrix Multiplication Closer to Ideal — By eliminating a hidden inefficiency, computer scientists have come up with a new way to multiply large matrices that’s faster than ever. by (7 March 2024) ► The hunt for computing the product of two matrices with as few as possible multiplications.
- Axel Peneau - Combien de temps faut il pour mélanger un Rubik's cube by (15 April 2024) ► Some information related to the spectral gap, but you need to know the matter to understand this video.
- Thomas Menuet - Résidence d'un compositeur au sein d'un laboratoire de mathématiques by (15 April 2024) ► presents three enigmas related to mathematics and music.
- What Lies Above Pascal's Triangle? by (2 August 2024) ► extends Pascal’s triangle upward by using the binomial series expansion.
- Pentominoes and other Polyominoes - Numberphile by (23 December 2024) ► We still know little about the numbers of n-ominoes.
- 18 mathematicians break my secret santa method by (23 December 2024) ► A flawed algorithm for a decentralised Secret Santa.
- The Snakey Hexomino (unsolved Tic-Tac-Toe problem) - Numberphile by (20 January 2025) ► In all the tic-tac-toe games defined by the fact the players need to draw a given n-mino, the game end is not known for only one hexomino.
- Ronan Herry - Le lemme de projection mesurable d'Henri Lebesgue by (31 January 2025) ► ‘s lemma, that the projection of a Borel measurable set from the plane onto a line is still Borel measurable, was proved wrong by . This resulted in many advances such as the analytic sets.
- New Proofs Probe the Limits of Mathematical Truth — By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of mathematical unknowability. by (3 February 2025) ► Two proofs have been found that there is no algorithm to determine if a Diophantine equation has solutions in an integer ring.
- Anne Siegel - Symbiose, biologie des systèmes, et discrétisation de systèmes dynamiques by (3 February 2025) ► How to mathematically model a very large metabolic map.
- How Did Water Solve the 1800-Year-Old Talmudic Bankruptcy Problem? by (15 February 2025) ► Using a hydraulic system to solve the Talmudic Bankruptcy Problem.
- Mathematicians finally find the infinite card game. by and (7 March 2025) ► How found an infinite game of Beggar-My-Neighbor.
- Shortest Path Algorithm Problem - Computerphile by (16 April 2025) ► Why a simple-looking problem is in fact very difficult if you consider computation precision.
- We can fix UK currency with a £1.75 coin by (30 April 2025) ► Some delirium about finding sets of coin denominations minimising the number of change coins.
- How Did Geometry Create Modern Physics? — Geometry may have its origins thousands of years ago in ancient land surveying, but it has also had a surprising impact on modern physics. In the latest episode of The Joy of Why, Yang-Hui He explores geometry’s evolution and its future potential through AI. by , , and (15 May 2025) ► Some thoughts about the different types of mathematicians (birds vs. frogs), and the use of AI in mathematics with the Birch Test (Automaticity, Interpretability and Non-triviality).
- "Bourbaki l’avait rêvé, Laurent Schwartz l’a défait ..." par Frédéric Brechenmacher. by (3 June 2025) ► The evolution of maths lessons at École Polytechnique in the years 1950-1970.
- These 17 Paradoxes Will Change How You See the Universe by (19 June 2025) ► A list of well-known paradoxes.
- These pixels count themselves. by (31 July 2025) ► Creating some self-referential images.
- What was Euclid really doing? | Guest video by Ben Syversen by and (18 September 2025) ► The mathematical reasoning at Euclid time.
- ↪Interview with Ben Syversen about the Euclid guest video by and (18 September 2025) ► Some comments on the previous video and the similarity between the Greeks tryng to build geometry objects and having to do the same for animating a video.
- A New Bridge Links the Strange Math of Infinity to Computer Science — Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. by (21 November 2025) ► There is an equivalence between some descriptive set theory problems and some computer science ones.
- This random noise won an academy award by and (23 November 2025) ► A description of Perlin noise.
- Polyominoes on Chessboards - Numberphile by (1 December 2025) ► Is it possible to cover a rectangle with some different types of polyominoes?
- Strong Axioms of Infinity - Numberphile by (8 December 2025) ► This description of the Strong Axioms of Infinity is not really understandable because does not want to get too technical.
- L'énigme de la bouteille et du bouchon - Micmaths by (17 December 2025) ► Several ways to solve £[\left\{\begin{array}{@{}l@{}}x+y=a\\x-y=b\end{array}\right.£].
- #488 – Infinity, Paradoxes that Broke Mathematics, Gödel Incompleteness & the Multiverse – Joel David Hamkins (⧉) by (31 December 2025) ► The interview is about subjects which are rather well-known (Gödel theorems, the continuuum hypothesis, surreal numbers…). It is nevertheless interesting and lively.
- The Hairy Ball Theorem by (31 January 2026) ► An infomal proof of the hairy ball theorem.
- The 15-Game - Numberphile by (7 February 2026) ► A hidden noughts and crosses game.
- The 15-Game (extra bit) - Numberphile by (12 February 2026) ► Continuation of the previous video.
- Can the Most Abstract Math Make the World a Better Place? — Columnist Natalie Wolchover explores whether applied category theory can be “green” math. by (4 March 2026) ► This article does not really help convincing oneself that category theory could help solve some real world problems.
- The Pigeonhole principle
- How Many Humans Have the Same Number of Body Hairs? | Infinite Series | PBS Digital Studios by (1 December 2016) ► The Pigeonhole Principle.
- ↪A Hairy Problem (and a Feathery Solution) - Numberphile by (20 November 2022) ► The same.
- The Pigeon Hole Principle: 7 gorgeous proofs by (10 April 2021) ► Some examples of proofs using the pigeonhole principle.
- Induction
- Epic Induction - Numberphile by (3 August 2022) ► Two examples of an induction proof.
- ↪The Notorious Question Six (cracked by Induction) - Numberphile by (5 August 2022) ► The solution of question 6 of 1988 Math Olympiad.
- ↪Induction (extra) - Numberphile by (7 August 2022) ► Some homework: Goldbach’s conjecture, Euler’s lucky numbers, and all numbers or sum/difference of distinct squares.
- The Magic of Induction - Numberphile by (2 November 2024) ► An introduction to well-founded induction.
- Quadratic Reciprocity
- Why did they prove this amazing theorem in 200 different ways? Quadratic Reciprocity MASTERCLASS by (14 March 2020) ► A presentation of the law of quadratic reciprocity and a long proof.
- The Hidden Connection That Changed Number Theory — Quadratic reciprocity lurks around many corners in mathematics. By proving it, number theorists reimagined their whole field. by (1 November 2023) ► This article explains the interest of Quadratic Reciprocity, but there are little mathematical details.
- The Langlands Program
- Edward Frenkel: Langlands Program and Unification by (23 May 2018) ► Some examples related to Langlands Program.
- New Shape Opens ‘Wormhole’ Between Numbers and Geometry — Laurent Fargues and Peter Scholze have found a new, more powerful way of connecting number theory and geometry as part of the sweeping Langlands program. by (19 July 2021) ► The history, with no technical details, of perfectoids, diamonds, and the Fargues-Fontaine curve.
- The Biggest Project in Modern Mathematics by (1 June 2022) ► A clear and basic description of the link between number theory and harmonic analysis.
- ↪What Is the Langlands Program? — The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems. by (1 June 2022) ► A basic presentation of Ramanujan conjectures and Langlands conjectures.
- The Langlands Program - Numberphile↑ by (28 September 2023) ► A presentation of Langlands Program (a simplified version of the one above) using the example of the Shimura-Taniyama-Weil conjecture with a simple example and a presentation of elliptic curves and modular forms.
- Monumental Proof Settles Geometric Langlands Conjecture — In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. by (19 July 2024) ► The title says it all.
- Polynomials
- De remarquables identités - Speed Maths #08 by (17 February 2020) ► The classic explanation of remarkable identities using geometry.
- ★ Pour bien commencer : les Degrés 0 et 1 - La Saga des Équations Algébriques #1 by and (20 August 2020) ► The definition of a polynomial and the resolution of algebraic equations of degree £[1£].
- Les identités remarquables en 4D - Micmaths by (24 January 2024) ► Using cubes from 2D to 5D to find some remarkable identities.
- ↪Ok je fais l'hypercube 6D, mais c'est le dernier hein promis après j'arrête... - Micmaths by (30 January 2024) ► The continuation of the previous video.
- Thomaths 33 : Racines et Dragons by (13 March 2026) ► Some beautiful representation of the roots of polynomials.
- Error correction
- Error Correcting Curves - Numberphile by (1 September 2023) ► A presentation of Reed–Solomon error correction.
- ↪Eating Curves for Breakfast - Numberphile by (1 September 2023) ► The continuation of the previous video.
- I built a QR code with my bare hands to see how it works by and (30 September 2024) ► The details of QR code encoding.
- How Can Math Protect Our Data? — Mary Wootters discusses how error-correcting codes work, and how they are essential for reliable communication and storage. by , , and (7 August 2025) ► Some information about error-correcting codes.
- Hamming correction codes
- Hat Problems - Numberphile by (6 July 2020) ► Two puzzles about hats, the second one is using Hamming single-error correction codes.
- But what are Hamming codes? The origin of error correction by (4 September 2020) ► An explanation of Hamming codes.
- ↪Hamming codes part 2: The one-line implementation by (4 September 2020) ► The continuation of the previous video.
- Researchers Defeat Randomness to Create Ideal Code — By carefully constructing a multidimensional and well-connected graph, a team of researchers has finally created a long-sought locally testable code that can immediately betray whether it’s been corrupted. by (24 November 2021) ► A code with optimal rate, distance, and local testability has been found.
- Evolution
- Why do things exist? Setting the stage for evolution. by (19 May 2018) ► Kind of analysing two very simple population models.
- How life grows exponentially by (20 June 2018) ► Another way to analyse of the second model.
- Mutations and the First Replicators by (21 July 2018) ► A first simple model involving mutation.
- Simulating Competition and Logistic Growth by (26 August 2018) ► The fact that the resources are not infinite is now taken into account. This limits the total population.
- Simulating Natural Selection by (15 November 2018) ► Simulating a population with three traits: size, speed, and sense.
- What's a "selfish gene"? by (16 December 2018) ► There is no simulation in this video, just a short description of three genes strategies: carrier-focused, win-win and altruistic.
- The Natural Selection of Altruism by (7 March 2019) ► Some simulations with altruistic behaviours.
- Simulating Supply and Demand by (27 April 2019) ► A simulation based on a very simple model.
- Simulating the Evolution of Aggression by (28 July 2019) ► Yet another simple simulation and analysis of a population with two types of behaviour.
- Simulating Foraging Decisions by (14 March 2020) ► Some simple optimisation.
- Simulating Green Beard Altruism by (27 March 2021) ► Playing with a simple model.
- Fold and Cut Theorem
- Fold and Cut Theorem - Numberphile by (25 September 2015) ► The Fold and Cut theorem and its application to all letters of the alphabet.
- How to make a fold-and-cut bat for Halloween! by (21 October 2019) ► The title says it all.
- Flexagons
- Les hexaflexagones - Micmaths by (12 July 2014) ► How to build a hexaflexagon with three faces.
- Hexaflexagones : la multiplication des faces - Micmaths by (23 February 2015) ► How to build a hexaflexagon with four faces.
- The Forgotten Flexagon - Numberphile by (17 October 2019) ► The hexatetraflexagon.
- ↪Forgotten Flexagon (extra) - Numberphile by (17 October 2019) ► The continuation of the previous video.
- Axioms
- What Does It Mean to Be a Number? (The Peano Axioms) | Infinite Series by (27 February 2018) ► A very clear description of Peano axioms.
- ↪What are Numbers Made of? | Infinite Series by (1 March 2018) ► The continuation of the previous video: Zermelo’s and Von Neumann’s constructions.
- How ISPs Violate the Laws of Mathematics by (1 March 2019) ► A joke on the fact that a lying ISP violates the ZFC axioms.
- The Foundation of Mathematics - Numberphile by (3 June 2024) ► Some little basic information about mathematics foundation: set theory, category theory…
- ‘Reverse Mathematics’ Illuminates Why Hard Problems Are Hard — Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent. by (1 December 2025) ► By replacing an axiom by a theorem, mathematicians have been able to prove that some propositions are equivalent in a given set of axioms.
- Axiom of Choice
- Death by infinity puzzles and the Axiom of Choice by (21 January 2017) ► Some puzzles involving sets of size ℵ0.
- How the Axiom of Choice Gives Sizeless Sets | Infinite Series by (14 September 2017) ► The title says it all.
- The most controversial axiom of all time↑ by (18 July 2018) ► A good overview of the axiom of choice.
- Une énigme paradoxale (mathématiques fondamentales) - Passe-science #60 by (21 August 2024) ► The resolution of an enigma of using the Axiom of Choice.
- The Man Who Almost Broke Math (And Himself...) - Axiom of Choice by and (2 April 2025) ► The story of the Axiom of Choice.
- Banach-Tarski paradox
- Deux (deux ?) minutes pour... Le théorème de Banach-Tarski by (23 August 2016) ► The title says it all.
- Double for Nothing: the Banach-Tarski Paradox by (9 November 2017) ► A detailed explanation of the paradox.
- ↪Double for Nothing, part 2 by (10 February 2018) ► The continuation of the previous article.
- Sierpinski-Mazurkiewicz paradox
- The Sierpinski-Mazurkiewicz Paradox (is really weird) by (28 July 2022) ► A presentation of the paradox.
- Non-transitivity
- Quelques problèmes d'ordre... - Micmaths by (8 September 2015) ► Some examples of intransitivity, such as the non-transitive dice.
- Un tour de cartes non transitif - Micmaths by (15 September 2015) ► The title says it all.
- The Most Powerful Dice - Numberphile by (20 September 2016) ► A similar description of non-transitive dice.
- Des dés renversants ! - Speed Maths #02 by (2 August 2018) ► Yet another presentation, but this one describes what happens when we throw each die twice.
- Mathematicians Roll Dice and Get Rock-Paper-Scissors — Mathematicians have uncovered a surprising wealth of rock-paper-scissors-like patterns in randomly chosen dice. by (19 January 2023) ► Mathematicians are studying the probabilities that a set of dice is intransitive.
- Computing machines
- Les machines à calculer du musée des Arts et Métiers by and (2 July 2020) ► Pascal’s calculator, Léon Bollée’s Multiplier, and Jacquard machine.
- Reinventing the magic log wheel: How was this missed for 400 years? by (2 April 2022) ► A circular slide rule.
- Clifford Stoll
- The Millionaire Machine - Numberphile by (24 February 2016) ► A mechanical calculator created in 1893.
- The Electric Slide Rule - Numberphile by (3 August 2016) ► How to use a slide rule to perform multiplication.
- An astonishing old calculator - Numberphile by (30 November 2017) ► Friden EC-132 and its wire storage.
- ↪Friden Calculator (extra footage) by (20 May 2018) ► The continuation of the previous video.
- Micmaths
- Les bouliers - Machines à calculer #1 - Micmaths by (13 May 2017) ► Abacuses.
- Addiator - Machines à calculer #2 - Micmaths by (2 June 2017) ► Addiators.
- Tables de multiplication insolites - Machines à calculer #HS1 - Micmaths by (12 November 2017) ► Some simple multiplication gadgets.
- Calculatrices à roues - Machines à calculer #3 - Micmaths by (23 June 2018) ► Some variations of the Pascaline and the Caroline improvement.
- Calculatrices mécaniques à clavier (Comptomètre et Torpedo) - Machines à calculer #4 by (15 September 2025) ► The inner working of a Comptometer.
- The look-and-say series
- Look-and-Say Numbers (feat John Conway) - Numberphile by (8 August 2014) ► describes the series he studied.
- Deux (deux?) minutes pour la suite de Conway by (29 June 2015) ► The look-and-say sequence created by .
- Can you trust an elegant conjecture? by (13 September 2022) ► A summary of an analysis of the binary look-and-say sequence.
- Sets
- Let's Talk About Sets - Numberphile by (17 May 2016) ► Some miscellaneous facts about sets: sets of positive integers, fractal sets.
- ↪Sets (extra footage) - Numberphile by (31 May 2016) ► The continuation of the previous video.
- Linear algebra
- Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra by (17 March 2019) ► The title says it all.
- A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra by (7 May 2021) ► A trick to compute the eigen values of a 2x2 matrix.
- Polynomial equations
- Odd Equations - Numberphile by (10 June 2014) ► Showing that polynomial equations having an odd power have a solution, using the Dedekind cut.
- Fundamental Theorem of Algebra - Numberphile by (9 July 2014) ► The title says it all.
- Why did we forget this simple visual solution? (Lill's method) by (26 April 2019) ► An explanation of Lill’s method.
- Mathematicians Resurrect Hilbert’s 13th Problem — Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections. by (14 January 2021) ► A non-technical explanation that there are still many unknown things about polynomials.
- New Proof Illuminates the Hidden Structure of Common Equations — Van der Waerden’s conjecture mystified mathematicians for 85 years. Its solution shows how polynomial roots relate to one another. by (21 April 2022) ► The description of the proven result is unclear.
- The Sordid Past of the Cubic Formula — The quest to solve cubic equations led to duels, betrayals — and modern mathematics. by (30 June 2022) ► The well-known story of , , and .
- Four colour theorem
- Le théorème des 4 couleurs by (22 February 2015) ► A quick description of the four colour theorem and some geographical anecdotes.
- ↪Retour sur le théorème des 4 couleurs — Carte Postale #2 by (19 August 2016) ► Answering some feedback on the previous video.
- The Four Color Map Theorem - Numberphile by (20 March 2017) ► A similar video.
- ↪Four Color Theorem (extra footage) - Numberphile by (25 March 2017) ► The continuation of the previous video.
- A simple "proof" of the Four Color Theorem (April fool's day video) by (1 April 2018) ► A flawed proof of the theorem, the challenge is to find the error.
- Cercles et coloriage - Automaths #10🚫 by (22 January 2019) ► A similar problem: the colouring of tangent circles.
- [AVENT MATHS] : 4 couleurs pour une carte🚫 by (4 December 2020) ► The description of the link (described in Knots, Three-Manifolds And Instantons) between bridgeless cubic planar graphs and the four colours theorem.
- The Colorful Problem That Has Long Frustrated Mathematicians — The four-color problem is simple to explain, but its complex proof continues to be both celebrated and despised. by (29 March 2023) ► The story of the four colours theorem and the basics of graph colouring.
- Les couleurs du Rulpidon - Sylvie Benzoni-Gavage by (22 March 2024) ► Finding a complete 9-colour map on the Rulpidon.
- Proof assistant
- In Mathematics, Mistakes Aren’t What They Used to Be — Computers can’t invent, but they’re changing the field anyway. by (7 May 2015) ► Using computers for mathematical demonstrations, in particular as proof assistants.
- Meven Bertrand - 4 couleurs suffisent by (12 March 2020) ► formalised a proof of the theorem using Coq proof assistant.
- Proof Assistant Makes Jump to Big-League Math — Mathematicians using the computer program Lean have verified the accuracy of a difficult theorem at the cutting edge of research mathematics. by (28 July 2021) ► Lean has been used to check a proof of .
- Assia Mahboubi - Mathématiques et preuves formelles↑ by (25 March 2022) ► An interesting presentation of proof assistants.
- Can Computers Be Mathematicians? — Artificial intelligence has bested humans at problem-solving challenges like chess and Go. Is mathematics research next? Steven Strogatz speaks with mathematician Kevin Buzzard to learn about the effort to translate math into language that computers understand. by and (29 June 2022) ► A presentation of Lean.
- Automated Mathematical Proofs - Computerphile↓ by (9 August 2022) ► A rather bad presentation of Lean.
- Juggling
- Juggling by Numbers - Numberphile by (29 September 2017) ► Theorising juggling.
- Thomaths 17a : Maths et Jonglerie (2 ans) by and (30 March 2022) ► The same.
- ↪Thomaths 17b : Jonglerie et Combinatoire by (17 June 2022) ► The continuation of the previous video.
- The Boolean Pythagorean Triples problem
- La plus grosse preuve de l’histoire des mathématiques by (5 July 2016) ► A supercomputer was used to generate the proof of the Boolean Pythagorean triples problem.
- ↪The Problem with 7825 - Numberphile by (17 May 2018) ► A basic and clear presentation of the previous result.
- Cellular automata
- Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife by (8 December 2011) ► The title says it all.
- ↪SmoothLifeL by (9 October 2012) ► A video of the previous cellular automata.
- Life in life by (13 May 2012) ► The game of life implemented in the game of life.
- Does John Conway hate his Game of Life? by (3 March 2014) ► explains his game of life.
- Inventing Game of Life (John Conway) - Numberphile by (6 March 2014) ► explains how he created the game of life, from Von Neumann cellular automaton idea.
- 7.1: Cellular Automata - The Nature of Code by (10 August 2015) ► A very basic introduction to cellular automata.
- ↪7.2: Wolfram Elementary Cellular Automata - The Nature of Code by (10 August 2015) ► Wolfram Elementary CA and its infamous rule 30.
- ↪7.3: The Game of Life - The Nature of Code by (10 August 2015) ► ’s game of life.
- ↪7.4: Cellular Automata Exercises - The Nature of Code by (10 August 2015) ► Some ideas to enrich cellular automata, but most are about increasing the rules complexity which is bad, the beauty of CA is to get complex systems with very basic rules.
- La fourmi de Langton by (11 December 2015) ► Langton’s ant and emergent behaviour.
- Two Hours of Experimental Mathematics by (6 March 2017) ► Some evangelism of for his usual play with cellular automata.
- Les Automates Cellulaires réversibles - Passe-science #23⇈ by (21 July 2017) ► A very interesting reversible cellular automaton: Single Rotation.
- Le Jeu de la Vie by (8 December 2017) ► A classic but effective presentation of Conway’s game of life and Wolfram’s elementary cellular automaton.
- Terrific Toothpick Patterns - Numberphile by (10 December 2018) ► Some simple automata.
- Structures auto-répliquantes dans les automates cellulaires - Passe-science #27⇈ by (29 May 2019) ► Some self-replicating cellular automata.
- Secret of row 10: a new visual key to ancient Pascalian puzzles by (30 November 2019) ► Analysing a simple cellular automaton.
- Random Boolean Networks - Computerphile by (13 November 2020) ► A short presentation of Random Boolean Networks.
- Le jeu de la vie (⧉) by (27 November 2021) ► A presentation of the game of life.
- LENIA : Une nouvelle forme de vie mathématique ! by (19 January 2024) ► A presentation of Lenia: an automata with continuous states, space, and time.
- Le Jeu de la Vie.↑ by (20 April 2024) ► Some nice story telling, but nothing new here.
- Conway-Coxeter friezes
- Frieze Patterns - Numberphile by (6 August 2019) ► A presentation of Conway-Coxeter friezes.
- ↪Frieze Patterns (extra) - Numberphile by (6 August 2019) ► The continuation of the previous video.
- A Fascination with Fractured Friezes - Numberphile by (3 December 2024) ► Some further results on Conway-Coxeter friezes.
- Solitons
- Vincent Duchêne - Les solitons du Petit Poucet by (16 October 2019) ► A presentation of solitons in the Box-Ball System.
- Présentation de solitons dans une chaîne de pendules (Biennale du son 2022) by (3 June 2022) ► A presentation of solitons and an experiment.
- Percolation
- Marie Théret - Au Feu ! by (7 November 2019) ► A short presentation about percolation.
- Percolation: a Mathematical Phase Transition by (9 August 2022) ► Proving that the critical value for a square lattice is between £[\frac{1}{3}£] and £[\frac{2}{3}£].
- A Close-Up View Reveals the ‘Melting’ Point of an Infinite Graph — Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure. by (18 December 2023) ► Schramm’s locality conjecture (the phase transition of percolation can be estimated by using only a close-up view of the system) has been proven.
- Epidemics
- BBC Contagion The BBC Four Pandemic 2018🚫 by (2018) ► Some basic information about the next flu epidemics and simulating it.
- Exponential growth and epidemics by (8 March 2020) ► A simple model of an epidemic.
- Épidémie, nuage radioactif et distanciation sociale by (12 March 2020) ► The impact of social distancing.
- Il n'y a pas de question stupide #03 : On va tous mourir ? by (14 March 2020) ► A presentation of the SIR model.
- The Coronavirus Curve - Numberphile by (25 March 2020) ► Another introduction to the SIR model.
- Simulating an epidemic by (27 March 2020) ► Experimenting with some toy models.
- Crystal Balls and Coronavirus - with Hannah Fry (⧉) by and (10 April 2020) ► speaks about the current situation and the video about pandemic she did two years ago.
- Epidemic, Endemic, and Eradication Simulations by (17 May 2020) ► Yet some other simulations.
- Why Masks Work BETTER Than You'd Think by (8 September 2020) ► The maths of masks.
- The Mathematics of Surviving Zombies - Numberphile⇊ by (10 February 2022) ► A humorous, but useless, explanation of an equation.
- Hugo Martin - Trois versions du modèle SIR by (15 April 2024) ► The title says it all.
- Chaotic systems
- Le billard de Sinaï - Speed Maths #01 by (27 July 2018) ► A very short presentation of Sinai billiard.
- Brachistochrone
- The Brachistochrone by and (21 January 2017) ► Creating a real-world cycloid to demonstrate it is brachistochronous and tautochronous.
- San Vũ Ngọc - Huygens et le pendule magique by (16 February 2017) ► The isochronous pendulum of Huygens is based on a cycloid.
- Gödel’s theorems
- Turing Centennial Conference: Turing, Church, Gödel, Computability, Complexity and Randomization by (4 April 2012) ► The history of computer theory, unsolvability, complexity… by one mathematician who participated to it.
- Les théorèmes d'incomplétude de Gödel by (9 December 2016) ► A short introduction to Gödel’s theorems.
- Gödel's Incompleteness Theorem - Numberphile by (31 May 2017) ► An oversimplified explanation of Gödel’s theorem, some information about his life and the impact of the incompleteness theorem on mathematics.
- ↪Gödel's Incompleteness (extra footage 1) - Numberphile by (3 June 2017) ► The continuation of the previous video.
- ↪Gödel's Incompleteness (extra footage 2) - Numberphile by (3 June 2017) ► The continuation of the previous video.
- How Gödel’s Proof Works — His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences. by (14 July 2020) ► A not-so-clear description of how Gödel’s theorem works.
- Victor Delage - Peut on échapper à Godel ? by (25 August 2020) ► The theory of real closed fields is not affected by Gödel’s theorem.
- Math's Fundamental Flaw by (22 May 2021) ► A short description of overused subjects: Cantor’s diagonal, Gödel’s incompleteness theorems, the halting problem….
- Le théorème de Gödel (⧉) by (20 November 2021) ► A presentation to Gödel’s theorems.
- Ils ont fait trembler les mathématiques ! (#CMH45) by (10 October 2025) ► A basic and classic version of the crisis in the foundations of mathematics: Russell’s paradox, Gödel’s incompleteness theorems, Principia Mathematica…
- Tarski’s theorems
- Le PARADOXE DU MENTEUR et le THÉORÈME DE TARSKI | Argument frappant #8 by (1 April 2018) ► A very basic presentation of model theory and Tarski’s undefinability theorem.
- Complexity
- An Easy-Sounding Problem Yields Numbers Too Big for Our Universe — Researchers prove that navigating certain systems of vectors is among the most complex computational problems. by (4 December 2023) ► Lower and upper bounds have been found for the complexity of vector addition systems: they are proportional to the Ackermann function.
- ↪How Vector Addition Keeps Your Computer from Crashing: The Reachability Problem (9 March 2024) ► The corresponding video.
- Why Computer Scientists Consult Oracles — Hypothetical devices that can quickly and accurately answer questions have become a powerful tool in computational complexity theory. by (3 January 2025) ► This article contains too little information to really understand how oracle are used in complexity theory.
- For Algorithms, a Little Memory Outweighs a Lot of Time — One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer science. by (21 May 2025) ► showed that all algorithms can be simulated using much less memory than the time of the original algorithm.
- ↪Astonishing discovery by computer scientist: how to squeeze space into time by (7 June 2025) ► A much better description of the previous discovery.
- P versus NP problem
- P vs NP : une question fondamentale des mathématiques et de l'informatique - Passe-science #18 by (5 July 2016) ► A good presentation of the P versus NP problem.
- P vs. NP - The Biggest Unsolved Problem in Computer Science by (21 January 2020) ► A very basic presentation of the P vs. NP problem.
- Nos algorithmes pourraient-ils être BEAUCOUP plus rapides ? (P=NP ?) by (17 July 2020) ► Yet another good presentation of the problem.
- ↪Est-ce que P = NP ? by (17 July 2020) ► Some information completing the previous video.
- Computer Scientists Prove That Certain Problems Are Truly Hard — Finding out whether a question is too difficult to ever solve efficiently depends on figuring out just how hard it is. Researchers have now shown how to do that for a major class of problems. by (11 May 2022) ► Some progress in analysing VP versus VNP.
- De la (NP) difficulté de Zelda, et autres problèmes mathématiques dans les jeux Nintendo - CJVC #01 by (25 April 2025) ► How to prove that some Nintendo games are NP-hard.
- The greatest unsolved problem in computer science... by (9 March 2026) ► A presentation of P vs. NP, in the style of .
- The Unique Games Conjecture
- Approximately Hard: The Unique Games Conjecture — A new conjecture has electrified computer scientists by (6 October 2011) ► An explanation of the Unique Games Conjecture.
- First Big Steps Toward Proving the Unique Games Conjecture — The latest in a new series of proofs brings theoretical computer scientists within striking distance of one of the great conjectures of their discipline. by (24 April 2018) ► Some progress has been done to prove the conjecture: the 2-2 Games Conjecture is proven.
- Game theory
- La Théorie des Jeux by (3 March 2017) ► Game theory, prisoner’s dilemna, iterated prisoner’s dilemma.
- Le dilemme du prisonnier (⧉) by (9 October 2021) ► The prisoner’s dilemna and the iterated prisoner’s dilemma.
- Théorie des jeu: Nim et Sprague-Grundy - Passe-science #49 by (2 September 2022) ► A presentation of Sprague–Grundy theorem.
- This game theory problem will change the way you see the world↑ by , , and (23 December 2023) ► A classic presentation of the Prisoner’s Dilemma, the iterated variant, and the noisy iterated variant.
- Une expérience de philosophie morale by (27 February 2024) ► An experimentation with a variant of the prisoner’s dilemma.
- Cutting a cake
- How to Cut Cake Fairly and Finally Eat It Too — Computer scientists have come up with an algorithm that can fairly divide a cake among any number of people. by (6 October 2016) ► The algorithm may require £[{{{{n^n}^n}^n}^n}^n£] steps.
- Equally sharing a cake between three people - Numberphile by (26 September 2017) ► The same algorithm.
- Gale-Shapley algorithm
- Sex and Marriage Theorems by (4 March 2017) ► Gale-Shapley algorithm.
- PARCOURSUP 👩🏽🎓🏫 et les algorithmes de mariage stable ❤️ by (9 January 2020) ► The application of Gale-Shapley algorithm to the French post-bac admission procedure.
- ↪Parcoursup, et les algorithmes de mariage stable by (9 January 2020) ► Somme additional information to the previous video.
- Elections
- Réformons l'élection présidentielle ! by (21 October 2016) ► Condorcet’s paradox, Arrow’s impossibility theorem, and majority judgment.
- Voting Systems and the Condorcet Paradox | Infinite Series by (15 June 2017) ► Common election mechanisms are failing to respect Condorcet criterion
- plurality
- instant runoff
- two-round runoff
- borda count
- Arrow's Impossibility Theorem | Infinite Series by (23 June 2017) ► Trying to get a feeling of the proof of Arrow’s impossibility theorem.
- Simulating alternate voting systems by (2 November 2020) ► Some simulations to help understand the differences between three voting mechanisms: Plurality, Instant runoff, and Approval.
- Pourquoi notre système de vote est nul (et le moyen le plus simple de l'améliorer) by (5 April 2022) ► Some propaganda for the approval voting.
- Voting Paradoxes - Numberphile by (28 October 2024) ► A short presentation of majority, Condorcet, Copeland, minimax, and Dodgson voting algorithms.
- Can the "Red Mirage" and "Blue Shift" be explained with math? ELECTION 2024 by (5 November 2024) ► Why the percentages for each party are varying during the counting of the votes.
- Knight tour
- Knight's Tour - Numberphile by (16 January 2014) ► Some basic facts about Knight Tours.
- Le cavalier et les 64 cases - Les extraordinaires (TF1) - Micmaths by (8 March 2015) ► The explanation of the knight tour’s magical square trick.
- Puzzles
- Pebbling a Chessboard - Numberphile by (19 December 2013) ► An elegant demonstration of the "clone problem".
- More about Pebbling a Chessboard - Numberphile by (20 December 2013) ► Variations of the "clone problem".
- That Viral Math Problem (Cheryl's Birthday) - Numberphile by (17 April 2015) ► Resolution of "Cheryl’s Birthday" problem.
- Mondrian Puzzle - Numberphile by (14 November 2016) ► A puzzle a la .
- Frog Jumping - Numberphile by (23 February 2017) ► Another one.
- Squared Squares - Numberphile by (5 June 2017) ► How the squaring of the square was solved.
- ↪A Nice Square - Numberphile by (5 June 2017) ► The continuation of the previous video.
- A Quick Cake Conundrum - Numberphile by (18 June 2017) ► A simple geometry puzzle.
- Can You Crack This Four Card Code? by (24 August 2017) ► Encoding information in 4 cards.
- Conway Checkers - Numberphile by (23 February 2018) ► A description of Conway’s Soldiers.
- ↪Conway Checkers (proof) - Numberphile by (23 February 2018) ► A lengthy solution to Conway’s Soldiers.
- ↪How did Fibonacci beat the Solitaire army? by (22 January 2022) ► Another, very elegant, proof that the fifth row cannot be reached.
- Un puzzle impossible ? - Automaths #02🚫 by (25 March 2018) ► The usual bi-colour invariant trick.
- The Pentomino Puzzle (and Tetris) - Numberphile by (3 May 2018) ► One of the puzzles proposed by .
- ↪The Coin Hexagon - Numberphile by (3 May 2018) ► The continuation of the previous video with another puzzle.
- Le taquin impossible - Micmaths by (8 July 2018) ► A proof that the 15-puzzle is unsolvable (in fact, only proves the impossibility for the 8-puzzle).
- Le Carré des Reines - Speed Maths #05 by (6 November 2018) ► Using Bachet de Méziriac’s method of generating magic squares to generate solutions of placing non-attacking queens on a chessboard.
- What Number Comes Next? - Numberphile⇊ by (26 November 2018) ► These sequences are completely silly.
- ↪Subway Numbers (extra bit) - Numberphile⇊ by (27 November 2018) ► The continuation of the previous video.
- the 3 light bulbs puzzle by (1 December 2018) ► A well-known puzzle.
- the 7 oz gold bar problem by (9 December 2018) ► This one is very simple.
- Card Flipping Proof - Numberphile by (3 February 2019) ► A card flipping game and a proof of the solution.
- Peaceable Queens - Numberphile by (15 May 2019) ► Yet another problem with placing queens on a chessboard.
- Solution: ‘The Bulldogs That Bulldogs Fight’ — To minimize brain strain when thinking recursively, start simply, look for a pattern and let the pattern do the work. by (16 May 2019) ► A simple puzzle about a recursive sentence and the classic blue eyes puzzle.
- Game of Cat and Mouse - Numberphile↑ by (28 May 2019) ► What is the mouse strategy to escape the cat?
- Spéciale Énigmes - Myriogon #7 by (25 March 2020) ► The title says it all.
- The almost impossible chessboard puzzle by and (5 July 2020) ► A tricky puzzle about information encoding.
- ↪The impossible chessboard puzzle by (5 July 2020) ► The proof that the previous puzzle is solvable only for powers of 2.
- The Brussels Choice - Numberphile by (21 August 2020) ► Yet another number play with silly rules, but it is fully analysed here.
- Are you smarter than a first grader? by (27 August 2020) ► The solution is simpler than what you are looking for.
- How did Ramanujan solve the STRAND puzzle? by (6 September 2020) ► Using continued fractions to solve a puzzle.
- [AVENT MATHS] : 14 oeufs lancés🚫 by (14 December 2020) ► The Two Egg Problem.
- Finding Zen in the Art of Puzzle Solving — Readers used their Zen-like puzzle solving skills to discover hidden insights. by (26 March 2021) ► Three puzzles that are simple to solve when you look at them the right way.
- Eureka Sequences - Numberphile by (13 April 2021) ► Finding the definition of two simples series.
- Hidden Dice Faces - Numberphile by (14 June 2021) ► A very simple trick with a die.
- ↪Three Dice Trick - Numberphile by (19 July 2021) ► Yet another very simple trick with dice.
- ↪Stacked Dice Trick - Numberphile by (22 September 2021) ► And yet another one.
- Get Off The Earth (a famous & bamboozling problem) - Numberphile by (19 August 2021) ► The explanation of a well-known puzzle of .
- Mathematician Answers Chess Problem About Attacking Queens — The n-queens problem is about finding how many different ways queens can be placed on a chessboard so that none attack each other. A mathematician has now all but solved it. by (21 September 2021) ► There are approximately £[0.143n^n£] configurations of peaceful queens on a £[n \times n£] chessboard.
- Do you understand this viral very good math movie clip? (Nathan solves math problem X+Y) by (16 October 2021) ► The explanation of a simple puzzle solution and another more difficult puzzle.
- Stones on an Infinite Chessboard - Numberphile by (10 January 2022) ► Some boundary analysis on an interesting chessboard problem.
- The Coolest Hat Puzzle You've Probably Never Heard (SoME2) by (16 August 2022) ► At first glance, the problem seems impossible. But reasoning the right way, it is trivial.
- The Light Switch Problem - Numberphile by (16 February 2023) ► A simple puzzle using number theory.
- Can Magnus Carlsen Solve Impossible BBC Puzzles? by (9 June 2025) ► solves some puzzles on a chessboard.
- The impossible puzzle with over a million solutions! by (28 August 2025) ► A square of squares puzzle based on the fact that £[1 \times 1^2 + 2 \times 2^2 + 3 \times 3^2 + 4 \times 4^2 + 5 \times 5^2 + 6 \times 6^2 + 72 \times 7^2 + 8 \times 8^2 + 9 \times 9^2 = 45^2£].
- Logic puzzles
- How to Solve the Hardest Logic Puzzle Ever — A step-by-step guide to True, False, and Random. by (5 November 2015) ► An explanation on how solved ’s problem (see also Wikipedia).
- Harry Potter : l'énigme des potions - Micmaths🚫 by (25 June 2017) ► The resolution of a logical puzzle present in Harry Potter and the Philosopher’s stone.
- Mystères sur échiquier avec Sherlock Holmes - Raymond Smullyan et l'analyse rétrograde by (19 January 2026) ► A Retro-Analysis Chess Problem created by .
- Bucket puzzles
- How not to Die Hard with Math by (30 May 2015) ► Solving the bucket puzzle with a triangular grid.
- Des seaux et un billard - Automaths #04🚫 by (13 May 2018) ► The same, in French, with less explanations.
- Towers of Hanoi
- Binary, Hanoi and Sierpinski, part 1 by (25 November 2016) ► Solving the Hanoi towers by counting in base 2.
- ↪Binary, Hanoi, and Sierpinski, part 2 by (25 November 2016) ► The continuation of the previous video: solving the constrained Hanoi towers by counting in base 3 and the link with Sierpinski triangle.
- Les tours de Hanoi - Automaths #06🚫 by (21 July 2018) ► The same as the previous videos, but explained in a much less visual way.
- The ultimate tower of Hanoi algorithm by (6 March 2021) ► A solution of the n-peg variant of the Towers of Hanoï and the fact that it has not been proved the shortest one yet.
- Key to the Tower of Hanoi - Numberphile by (27 October 2021) ► Yet another video on the towers of Hanoi.
- ↪Tower of Hanoi (extra) - Numberphile by (28 October 2021) ► The continuation of the previous video.
- Sudoku
- Le théorème du Sudoku - Speed Maths #04 by (4 September 2018) ► The fact that 16 clues are never enough to define a Soduku has been proven using a computer.
- A Sudoku Secret to Blow Your Mind - Numberphile by (4 January 2024) ► The Phistomephel Ring: the 16 digits in the four corners match the digits in the 16-cell ring circling the central region.
- The Most Mathematical Sudoku - Numberphile by (9 January 2024) ► A very tricky Sudoku grid.
- A Bizarre Sudoku Set-Up - Numberphile by (17 March 2024) ► A similar one.
- The Anti-Knight Killer Sudoku - Numberphile by (15 October 2025) ► Yet another one.
- The 100 Prisoners Problem
- An Impossible Bet | The 100 Prisoners Problem by (8 December 2014) ► The puzzle.
- Solution to The Impossible Bet | The 100 Prisoners Problem by (8 December 2014) ► The solution.
- The unbelievable solution to the 100 prisoner puzzle. by and (4 November 2019) ► A real world experiment of the 100 prisoner puzzle.
- The Riddle That Seems Impossible Even If You Know The Answer by (30 June 2022) ► Yet another video on the 100 Prisoners Problem.
- ↪My response to being reverse-Dereked by (2 July 2022) ► ’s answer.
- Quizzes
- Le grand quiz maths de Roger Mansuy - Myriogon #19 by and (20 April 2020) ► A maths culture quiz.
- Le grand Quiz Maths de Roger Mansuy, épisode 2 - Myriogon #22 by and (27 April 2020) ► Another quiz.
- Quiz spécial Kangourou des maths, avec André Deledicq - Myriogon #23 by and (28 April 2020) ► Some question from the Mathematical Kangaroo.
- Le Grand Quiz de Manu Houdart - Myriogon #28 by and (6 May 2020) ► Yet another quiz.
- Le grand quiz du Jeudi 14 mai 2020 - Live by and (14 May 2020) ► Yet another quiz.
- Le grand quiz du Jeudi 21 mai - Live - 18h00 by and (21 May 2020) ► Yet another quiz.
- Le grand quiz du Dimanche 31 mai - Live - 10h45 by (31 May 2020) ► Yet another quiz.
- Le grand quiz du Jeudi 04 Juin - Live (5) - 18h00 by (4 June 2020) ► Yet another quiz.
- (6) Le grand quiz du Jeudi 11 Juin 2020 - Live - 18h00 by and (11 June 2020) ► Yet another quiz.
- (7) Le grand quiz du Jeudi 18 Juin 2020 - Live - 18h00 by (18 June 2020) ► Yet another quiz.
- (8) Le grand quiz du Jeudi 25 Juin – Live – 18h00 by (25 June 2020) ► The last quiz of the season.
- Le démon des multiples - Mathsdrop by (25 March 2025) ► An egnima whose solution exploits the 11 multiplicity criteria and a presentation of OEIS.
- Quiz mathématique - Mathsdrop by (8 April 2025) ► A quiz, mostly on probability and combinatorics.
- Hardware
- The mind-boggling Key and Ring Puzzle!! by (5 April 2019) ► A very simple one.
- Card tricks
- Shuffling Card Trick - Numberphile by (2 March 2016) ► Gilbreath’s principle: consecutive values remain distinct in modulo space after a Gilbreath’s shuffle.
- 21-card trick - Numberphile by (11 July 2018) ► Explaining the trick using modular arithmetic.
- James ❤️ A Card Trick - Numberphile by (25 June 2019) ► A card trick based on Proizvolov’s identity.
- Un tour de magie - Automaths #15🚫 by (27 March 2020) ► A simple trick.
- How did the 'impossible' Perfect Bridge Deal happen? by (23 April 2021) ► A Faro shuffle does not really shuffle the cards.
- The most ridiculously complicated maths card trick. by (5 August 2021) ► How to place a given card at a given position using in and out shuffles.
- Card Memorisation (using numbers) - Numberphile by (8 January 2023) ► Memorising the colours of a deck of cards.
- ↪Card Memorisation (extra) - Numberphile by (10 January 2023) ► The continuation of the previous video.
- Maths and quantum theory
- Alain Connes - “Espace-temps, nombres premiers, deux défis pour la géométrie” by (12 November 2010) ► Some mathematics used in the quantum theory and some information about prime numbers, but the mathematical pieces are very hard to understand.
- Physicists Attack Math’s $1,000,000 Question — Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system. by (4 April 2017) ► The nontrivial zeros of the Riemann ζ function are linked to the eigenvalues of a quantum system.
- Math vs Physics - Numberphile by (28 June 2017) ► The mathematical methods used for quantum theory are more and more used in general mathematics.
- ↪Math vs Physics (extra footage with Robbert Dijkgraaf) - Numberphile by (28 June 2017) ► The continuation of the previous video.
- AI
- The Potential for AI in Science and Mathematics - Terence Tao by (7 August 2024) ► AI and science and, in particular, mathematics. also speaks about propf assistant and team organisation.
- Terence Tao at IMO 2024: AI and Mathematics by (21 August 2024) ► The past and present of how computers can be used for mathematical proofs.
- Quel sera l’impact de l’IA sur les mathématiques dans les prochaines années ? - Timothy Gowers by (24 October 2025) ► Some examples of using computers for mathematics in the past, some recent cases of using AI., and some thoughts about the future.
- Building an AI Mathematician with Carina Hong (⧉) by and (4 November 2025) ► The subject could have been much more interesting if would go further in the details. This interview is just a basic overview of the subject.
- Do mathematics exist?
- Do numbers EXIST? - Numberphile by (3 June 2012) ► Platonism, nominalism, and fictionalism.
- Philosophy of Numbers - Numberphile by (18 September 2015) ► Platonism, intuitionism/constructivism, and formalism.
- Are Prime Numbers Made Up? | Infinite Series | PBS Digital Studios by (24 November 2016) ► The realism and antirealism debate.
- Roger Penrose - Is Mathematics Invented or Discovered? by and (13 April 2020) ► The title says it all.
- Quelle est la question ?
- [17h] Quelle est la question ? avec Robin Jamet - Myriogon #18 by and (16 April 2020) ► Doing mathematics is asking questions, here with the example of a very simple automata.
- Quelle est la question? par Robin Jamet en direct du Salon Math by and (29 May 2020) ► Some thinking about how to analyse a system of tokens with three possible colours and an evolution rule.
- Quelle est la question? (2) par Robin Jamet en direct du Salon Math↓ by and (30 May 2020) ► The intermittent billiards. The idea is interesting, but no analysis is even started.
- Quelle est la question? (3) par Robin Jamet en direct depuis le Salon Maths by and (31 May 2020) ► Playing with 10-adic numbers.
- Les miscellanées de Roger
- #Myriogon 30 -- Les miscellanées de Roger by and (11 May 2020) ► 2357223335555577777772357 is a prime number, the Fortune’s algorithm, the Hadwiger–Nelson problem, an arithmetical theorem of Paul Erdős, and the universal chord theorem.
- #Myriogon 32 -- Les (nouvelles) miscellanées de Roger by and (18 May 2020) ► It is possible to find a power of 2 beginning by any digit sequence, Frucht graph, the lune of Hippocrates, and Holditch’s theorem.
- #Myriogon34 Encore d'autres miscellanées mathématiques by and (25 May 2020) ► A single player game, Sicherman dice, McCarthy 91 function, the Japanese theorem, and Hindman’s theorem.
- Quatrième édition des Miscellanées Mathématiques (feat. Mickaël Launay) by and (8 June 2020) ► 2197172813311000729512343216125642781 is a prime, Fáry’s theorem, Nauru graph, a circle positioning puzzle, and the fact that a tetrahedron can be positioned in another tetrahedron having a smaller perimeter.
- Encore des miscellanées mathématiques (22 juin) by and (22 June 2020) ► Catalan numbers, a well-known paradox with hyperspheres, Ramanujan iterated square roots is a prime, Monsky’s theorem, and Hutchinson’s theorem.
- Miscellanées mathématiques avec Roger Mansuy by and (7 November 2025) ► Some stories extracted from ’s latest book.
- Mathsdrop
- Jolies démonstrations mathématiques - Mathsdrop by (23 May 2025) ► Some "nice" proofs. The one for Buffon’s needle is not convincing.
- Retour sur les problèmes ouverts (Hilbert, Palindromes et Pikachemins) - Mathsdrop by (13 June 2025) ► The title says it all.
- Courbes de poursuite et carte n°6 - Mathsdrop by (10 October 2025) ► Drawing some curves of pursuit.
- Proselytism
- À quoi servent les mathématiques ? by , , , , , , , and (21 August 2016) ► Some miscellaneous uses of mathematics.
- À quoi ça sert les maths ? ft Internet by (15 November 2016) ► 50 answers about the usage of mathematics, by many persons.
- J'aime les maths | τ^τ abonnés !! (ft. YouTube) by (26 October 2017) ► The answers of many persons.
- 'Experimenting with Primes' - Dr Holly Krieger by (7 November 2017) ► Trying to give girls some interest to mathematics by looking at some properties of the Fibonacci sequence.
- Help us make a maths discovery centre in the UK by and (26 April 2019) ► Some proselytism for Maths World UK.
- Tu es fort en maths ? Alors, écoute-moi, stp. by (26 January 2020) ► Advice to give private lessons in math.
- Interview d'Alice Ernoult by and (6 May 2022) ► describes her education and why she became president of APMEP.
- What makes a great math explanation? | SoME2 results by (1 October 2022) ► Some of the best video and article entries of SoME2.
- Interview de Eve et Alex by , , and (1 March 2023) ► A short interview of and .
- Mmm ! Ep.20 - MATHSCOLLECTION (par On fait des Maths ?) by and (2 June 2023) ► A nice way of finishing the first season of Mmm!
- How They Fool Ya (live) | Math parody of Hallelujah by (28 June 2023) ► A version of the song about deceptive patterns.
- 25 Math explainers you may enjoy | SoME3 results by (7 October 2023) ► A selection of the best entries for SoME3.
- Pourquoi aimez vous les maths avec Thomaths ? by and (18 October 2023) ► and explain their interest for mathematics.
- Search for the mythological Klein-ing Frame by (8 August 2024) ► looked for and found a topology-themed small playground in Japan.
- S03E01. La nouvelle équipe by , , , and (8 August 2024) ► and present their education and work.
- Movies
- The Mathematician and the Devil Movie with English subtitles (Математик и чёрт) (1972) ► A short Russian movie on Fermat’s Last Theorem.
- Chouxrom
- L'homme qui défiait l'infini - Chouxrom' Ciné Club #01 by (28 November 2017) ► How mathematically correct is The Man Who Knew Infinity?
- Cube - Chouxrom' Ciné Club #02 by (10 January 2018) ► The numerous errors in Cube.
- Quand Matt Damon fait des maths... - Chouxrom' Ciné Club #03 by (20 May 2018) ► Will Hunting: the maths are mostly correct, but the chosen subjects make no sense.
- Les Figures de l'Ombre - Chouxrom' Ciné Club #04 by (10 August 2018) ► The formulas seem correct, but some numerical computations are wrong.
- Résoudre Navier-Stokes à 8 ans ? - Chouxrom' Ciné Club #05 by (18 March 2019) ► Gifted is fine at the mathematical level and quickly presents the Navier–Stokes equation.
- Les mathématiques de Futurama - ChouxRom' Cine Club #06 by (16 July 2021) ► The sciences and, in particular, the mathematics in Futurama.
- Survivre à Squid Game grâce aux maths ? - Chouxrom' Cine Club #07 by (3 April 2022) ► Analysing the probability of a situation in Squid Game.
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