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 (June 4th, 2021) ► An extract of the previous essay.
- La symétrie ici et là↓ by (December 17th, 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 (November 26th, 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 (March 23rd, 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 (June 8th, 2009) ► The premises of Church-Turing thesis, the thesis itself and the current work on it (abstract state machines).
- Learning Low Dimensional Manifolds by (October 9th, 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 (April 1st, 2012) ► The percentage of numbers containing 3 tends toward 100% when considering more and more numbers.
- Des particules, des étoiles et des probabilités by (May 2nd, 2012) ► From the study of system solar stability to a proof of Landau damping.
- One to One Million - Numberphile by (August 16th, 2012) ► The usual story about Gauss’ integer sum and adding all the digits of numbers from 1 to 1000000.
- Infinity Paradoxes - Numberphile by (July 15th, 2013) ► Four paradoxes with infinity: Hilbert’s hotel, Gabriel’s trumpet, the puzzle of the dartboard, double your money.
- Fifth Root Trick - Numberphile by (February 15th, 2014) ► A trick to calculate fifth root in one’s head.
- [François Sauvageot] One-maths show ! Et si on parlait des maths ? by (February 21st, 2014) ► Miscellaneous mathematical trivia.
- New Wikipedia sized proof explained with a puzzle by (February 24th, 2014) ► Erdős discrepancy problem has been proved for C=2 using a computer.
- Order from Chaos - Numberphile by (April 27th, 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 (June 17th, 2014) ► A simple way to cut a round cake so this one does not get dry.
- ↪Cake Cutting (An Extra Slice) by (June 19th, 2014) ► The continuation of the previous video.
- The Most Difficult Program to Compute? - Computerphile by (July 1st, 2014) ► A presentation of Ackermann function.
- Wobbly Circles - Numberphile by (September 8th, 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 (October 9th, 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 (December 17th, 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 (February 5th, 2015) ► The life of who worked with , , and , to understand how the brain works.
- Heptadecagon and Fermat Primes (the math bit) - Numberphile by (February 16th, 2015) ► Constructible angles and Fermat numbers.
- The 'Everything' Formula - Numberphile by (April 15th, 2015) ► Tupper’s self-referential formula.
- Funny Fractions and Ford Circles - Numberphile by (June 9th, 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 (June 20th, 2015) ► proved a major advance in block design.
- How many chess games are possible? - Numberphile by (July 24th, 2015) ► Several persons tried to evaluate the number of possible chess games.
- Martin Gardner 101 by (July 30th, 2015) ► Some information about .
- Les fractions continues by (August 21st, 2015) ► Continued fractions and Khinchin’s constant.
- Deux (deux ?) minutes pour... Newroz by (October 11th, 2015) ► A presentation of Venn Diagrams.
- Vulgarizators 2.0 - MICMATHS - L'élégance en mathématiques by (November 21st, 2015) ► Some well-known problems having a simple elegant solution: the mutilated chessboard, the sum of integers…
- Freaky Dot Patterns - Numberphile by (December 23rd, 2015) ► Moiré Patterns.
- Shapes and Hook Numbers - Numberphile by (January 8th, 2016) ► Standard Young tables and Hook lengths.
- ↪Shapes and Hook Numbers (extra footage) by (February 6th, 2016) ► The continuation of the previous video.
- The Mathematics of Crime and Terrorism - Numberphile by (February 3rd, 2016) ► Hawkes Process.
- Victor Kleptsyn - Le théorème du cercle arctique by (February 4th, 2016) ► A presentation of the arctic circle theorem.
- Loïc Le Marrec - Comment représenter les contraintes mécaniques ? by (March 3rd, 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 (March 15th, 2016) ► An example of coupled oscillators and resonance.
- Perplexing Paperclips - Numberphile by (April 26th, 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 (May 2nd, 2016) ► The continuation of the previous video.
- Consecutive Coin Flips - Numberphile by (June 8th, 2016) ► Average waiting time to get heads-heads vs. average waiting time to get heads-tails.
- Bernard Le Stum - Perfectoïdes by (June 9th, 2016) ► An introduction to perfectoid fields.
- Top 5 des problèmes de maths simples mais non résolus - Micmaths by (July 23rd, 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 (July 25th, 2016) ► How to compute the number of ways to choose 12 bagels when 4 flavours are available.
- The Flaw in Reductio Ad Absurdum⇊🚫 by (July 31st, 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 (September 10th, 2016) ► About infinite expressions and the meaning of these.
- The Josephus Problem - Numberphile by (October 28th, 2016) ► The title says it all.
- The Shortest Ever Papers - Numberphile by (December 7th, 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 (December 15th, 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 (December 22nd, 2016) ► Can two different 2D shapes be isospectral?
- Singularities Explained | Infinite Series by (January 19th, 2017) ► Some examples of mathematical singularities in the real world.
- The Map of Mathematics by (February 1st, 2017) ► Trying to draw a 2D map of the different domains of mathematics.
- La théorie des types | Infini 24 by (February 13th, 2017) ► A short presentation of type theory.
- ↪L'axiome d'univalence | Infini 25 by (February 20th, 2017) ► The title says it all.
- Infinite Chess | Infinite Series by (March 2nd, 2017) ► An introduction, first, on Zermelo’s theorem, then on infinite chess.
- 5 Unusual Proofs | Infinite Series by (March 9th, 2017) ► A presentation of some tools used in demonstrations by applying them in simple proofs.
- Pascal's Triangle - Numberphile by (March 10th, 2017) ► Some properties of Pascal’s triangle.
- Mickaël Launay : Le mystère de la farfalle - Tournée de Pi 2017 by (March 14th, 2017) ► Some mathematical humour about pasta.
- Building an Infinite Bridge | Infinite Series by (May 4th, 2017) ► How to stack bricks to get the longest overhang.
- Apéry's constant (calculated with Twitter) - Numberphile by (May 4th, 2017) ► The history of Apéry’s finding and how to evaluate it using random triplets of integers.
- Basile PIllet - Cohomologie des figures impossibles by (May 5th, 2017) ► Proving that Penrose’s triangle cannot exist.
- The Devil's Staircase | Infinite Series by (May 19th, 2017) ► Cantor set and Cantor function.
- Les chiffres... arabes ? - MLTP#17 by (June 6th, 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 (June 8th, 2017) ► Some anecdotes of mathematical near-misses, but there is little explanation on how these can be exploited.
- Stochastic Supertasks | Infinite Series by (August 11th, 2017) ► A randomised extension of Ross-Littlewood Paradox.
- When do clock hands overlap? - Numberphile by (August 17th, 2017) ► The title says it all.
- How to Generate Pseudorandom Numbers | Infinite Series by (October 13th, 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 (October 19th, 2017) ► How mathematics build pieces on top of other pieces and a quick presentation of logicism.
- Pancake Numbers - Numberphile by (October 27th, 2017) ► Pancake sorting.
- The Ideal Auction - Numberphile by (November 1st, 2017) ► Different types of auction system and some comments about them.
- La conjugaison complexe est un automorphisme de corps - Micmaths by (November 3rd, 2017) ► Explaining a non-trivial mathematical sentence.
- Hilbert's 15th Problem: Schubert Calculus | Infinite Series by (November 10th, 2017) ► A quick presentation of Schubert Calculus and of a simple puzzle, but the relationship is not explained.
- The Multiplication Multiverse | Infinite Series by (November 23rd, 2017) ► Loop concatenation is non-associative.
- ↪Associahedra: The Shapes of Multiplication | Infinite Series by (November 30th, 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 (December 25th, 2017) ► Some well-known mathematical memes.
- Calculating a Car Crash - Numberphile↓ by (January 17th, 2018) ► Some very simple calculation on kinetic energy.
- How to Divide by "Zero" | Infinite Series by (February 1st, 2018) ► A basic introduction to quotient sets.
- Telling Time on a Torus | Infinite Series by (February 15th, 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 (February 20th, 2018) ► is marketing his book with basic well-known mathematics-anecdotes.
- The Geometry of SET | Infinite Series by (March 15th, 2018) ► Using ℤ/nℤ to analyse Set (the game).
- Number Sticks - Numberphile by (March 15th, 2018) ► A simple clever calculation trick.
- Winding numbers and domain coloring by (March 24th, 2018) ► A colourful introduction to winding numbers.
- Patrick Dehornoy - Deux malentendus de la théorie des ensembles by (March 27th, 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 (April 5th, 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 (August 13th, 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 (August 22nd, 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 (September 23rd, 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 (October 23rd, 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 (November 7th, 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 (December 10th, 2018) ► Unclear, very slow, and poor humour.
- The Trapped Knight - Numberphile by (January 24th, 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 (February 6th, 2019) ► A presentation of the sum-product phenomenon.
- 1010011010 - Numberphile by (February 11th, 2019) ► The explanation of two mathematics pieces present in Futurama.
- ↪1010011010 (extra footage) - Numberphile by (February 20th, 2019) ► The continuation of the previous video.
- Les cubes de Langford - Automaths #11🚫 by (February 12th, 2019) ► Some simple rules, a rather complex problem and a simple solution.
- Who Mourns the Tenth Heegner Number? by (February 16th, 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 (March 25th, 2019) ► ’s work and ’s paradox.
- Démonstrations, illusions et Fibonacci - Speed Maths #07 by (May 1st, 2019) ► The danger of "visuals proofs".
- Don't Know (the Van Eck Sequence) - Numberphile by (June 10th, 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 (July 18th, 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 (July 25th, 2019) ► An explanation of the sensitivity conjecture and its proof.
- The unexpectedly hard windmill question (2011 IMO, Q2) by (August 4th, 2019) ► Solving an unusual problem (question C3 of IMO 2011).
- Solving An Insanely Hard Problem For High School Students by (August 5th, 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 (August 12th, 2019) ► An expensive and polluting way to demonstrate the stroboscopic effect.
- Darts in Higher Dimensions (with 3blue1brown) - Numberphile by (November 17th, 2019) ► A puzzle mixing probabilities, hyperspheres and series expansions.
- Solving An INSANELY Hard Viral Math Problem by (December 5th, 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 (December 8th, 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 (December 18th, 2019) ► An example of a system driven by Euler equations that generates a singularity has been found.
- Synchronising Metronomes in a Spreadsheet by (December 28th, 2019) ► Implementing the Kuramoto model in Excel.
- Solving the Three Body Problem by (January 20th, 2020) ► An overview of the solutions found for the 3 body problem.
- La commutativité ou l'art de retourner la situation by (March 13th, 2020) ► An introduction to commutativity and non-commutativity.
- Le barman aveugle avec des gants de boxe - Myriogon #1 by and (March 16th, 2020) ► Some medals and Černý conjecture.
- On discute - FAQ - Myriogon #3 by and (March 18th, 2020) ► Miscellaneous subjects.
- [17h] Ces figures sorties de nulle part, avec Robin Jamet - Myriogon #11 by and (April 2nd, 2020) ► How to draw cardioid or a nephroid with lines.
- Comment gagner à tous les coups ? - Myriogon #14 by (April 8th, 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 (April 9th, 2020) ► π digits, elliptical pool tables, knots and a fractional clock.
- π = 2 - Speed Maths #09 by (April 13th, 2020) ► A classical example of badly handling limits.
- Réééécriture, avec Roooogerr Maaaannsuy - Myriogon #16 by and (April 13th, 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 (April 21st, 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 (April 23rd, 2020) ► Pascal’s triangle, dual polyhedra, epicycloids, and Klein bottle.
- La conjecture de Hadamard, LMSB #4 by (April 27th, 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 (April 29th, 2020) ► Visiting some places with Street View and some mathematical musings, mostly about geometry.
- Matrix Factorization - Numberphile by (May 16th, 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 (June 9th, 2020) ► A simple presentation of the representation theory.
- What is the best way to lace your shoes? Dream proof. by (June 20th, 2020) ► Proving the shortest and the strongest lacings.
- ↪Stacks of Hats (extra) - Numberphile by (July 6th, 2020) ► The continuation of the previous video: ’s open problem about infinite hat stacks.
- Squares and Tilings - Numberphile by (August 12th, 2020) ► Discrete and continuous harmonic functions.
- A Clever Solution by (August 16th, 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 (August 26th, 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 (October 15th, 2020) ► The Kelvin wake pattern, resonances, caustics, and projective geometry.
- The hardest "What comes next?" (Euler's pentagonal formula)↑ by (October 17th, 2020) ► Euler’s Pentagonal Number Theorem and partitions.
- MétaMaths 1 - Introduction à la Cognition Mathématique by (October 19th, 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 (November 17th, 2020) ► The history of the operator symbols and priorities, and some thoughts about this type of debate.
- MQD 1 : Variété Différentielle ? by (November 28th, 2020) ► A presentation of differentiable manifolds.
- Briller en société #40: La théorie des origamis by (December 4th, 2020) ► Some basics about mathematical theories and the origami one.
- [AVENT MATHS] : 18 pentominos🚫 by (December 18th, 2020) ► Some small information about pentominoes.
- The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes? by (December 24th, 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 (February 22nd, 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 (March 8th, 2021) ► The title says it all.
- Thomaths a 1 an - F.A.Q, sillage et coulisses by and (March 30th, 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 (May 25th, 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 (July 8th, 2021) ► The subtitle says it all.
- Fonctions qui préservent les sommes de carrés par Jamil-1 by (July 8th, 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 (July 8th, 2021) ► The continuation of the previous video.
- A Problem with Rectangles - Numberphile by (July 31st, 2021) ► The resolution of a combinatorics problem.
- ↪Rectangle Problem (extra) - Numberphile by (August 1st, 2021) ► The continuation of the previous video.
- Mathematics is all about SHORTCUTS - Numberphile by (August 8th, 2021) ► Miscellaneous ideas about mathematics.
- Comment naît un THÉORÈME ?↓ by (August 20th, 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 (October 17th, 2021) ► The mathematical structure of some compositions of .
- Nuées d'oiseaux, chips paraboliques et feux de forêts : 31 trucs mathématiques un peu random by (November 12th, 2021) ► The title says it all.
- Why it’s mathematically impossible to share fair by (November 26th, 2021) ► The mathematics of apportionment.
- Trajectoires #20: D'honnêtes Mathématiques by , , , , and (November 30th, 2021) ► Miscellaneous subjects: honest functions vs. pathological functions, computable numbers, Brouwer’s intuitionism…
- Hitomezashi Stitch Patterns - Numberphile by (December 6th, 2021) ► A simple algorithm to generate pictures.
- Omicron (the symbol) in Mathematics - Numberphile by (December 9th, 2021) ► Greek numerals and ’s variation of big-O notation.
- A tale of two problem solvers | Average cube shadow area by (December 20th, 2021) ► Two ways to do mathematics: intuition vs. calculation.
- The Plotting of Beautiful Curves (Euler Spirals and Sierpiński Triangles) - Numberphile by (February 1st, 2022) ► The title says it all: some nice drawings using turtle plotting.
- ↪Plotting Pi and Searching for Mona Lisa - Numberphile by (February 2nd, 2022) ► The continuation of the previous video.
- Une ondelette pour les compresser toutes - Deux (deux ?) minutes pour... by (February 25th, 2022) ► A basic introduction of wavelets for image compression.
- ↪Rencontre EchoScientifique : El Jj & Sandrine Anthoine by and (February 25th, 2022) ► More information about wavelets and their use in tomography.
- Why don't Jigsaw Puzzles have the correct number of pieces? by (March 3rd, 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 (March 20th, 2022) ► Some strategies to solve Mastermind.
- Ce que vous ne savez pas sur le morpion - Aline Parreau by (March 29th, 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 (May 9th, 2022) ► The continuation of the previous video: maker/maker games vs. maker/breaker games.
- I found Amongi in the digits of pi!↓ by (April 29th, 2022) ► I do not see the point in this video.
- How to write 100,000,000,000,000 poems - Numberphile by (May 3rd, 2022) ► Some creations of Oulipo.
- A number NOBODY has thought of - Numberphile by (May 17th, 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 (July 3rd, 2022) ► Detecting the errors in three incorrect "proofs".
- The Nescafé Equation (43 coffee beans) - Numberphile↓ by (August 13th, 2022) ► Some thinking about units and resolving some trivial equations.
- ↪43 Beans (Alternative Video Ending) - Numberphile by (September 20th, 2022) ► The continuation of the previous video.
- What A General Diagonal Argument Looks Like (Category Theory)↑ by (August 16th, 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 (August 23rd, 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 (October 6th, 2022) ► The subtitle says it all.
- 2 to a matrix by (December 17th, 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 (January 3rd, 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 (March 17th, 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 (March 22nd, 2023) ► A non-technical presentation of the category theory.
- Didier Robert - Le Théorème Adiabatique Quantique by (March 29th, 2023) ► This presentation of the adiabatic theorem requires a high level in mathematics.
- 3 histoires pour nos 3 ans ! by and (March 30th, 2023) ► 2D shapes with a constant width, Shadoks counting, ’s numbers, and ’s pendulum clock.
- The Math of Species Conflict - Numberphile↓ by (March 30th, 2023) ► A very unclear description of a dynamic system.
- Go First Dice - Numberphile by (April 18th, 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 (April 19th, 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 (April 20th, 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 (June 5th, 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 (July 19th, 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 (August 5th, 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 (August 13th, 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 (August 31st, 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 (September 5th, 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 (September 25th, 2023) ► This article gives too little details to be interesting.
- L' Entscheidungsproblem- La fin des mathématiques ? (⧉) by (October 10th, 2023) ► , , and and the theoretical bases for computability.
- La toupie de Kovalevskaïa ou la meilleure façon de tourner (⧉) by (October 10th, 2023) ► The results of , , and on the rotation of a rigid body under the influence of gravity.
- What are these strange dice? - Numberphile by (November 27th, 2023) ► Some new types of dice.
- ↪What are these strange dice? (Part 2) - Numberphile by (November 28th, 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 (December 6th, 2023) ► , , , and proved Marton’s conjecture and the proof has been verified using Lean.
- Thomaths 24 : Les maths cachées du quotidien by and (December 9th, 2023) ► Bézier curves, tilings, and gears.
- Un anti-problème de Hilbert résolu après 60 ans - Micmaths by (February 13th, 2024) ► An infinite game of Beggar-My-Neighbour has been found.
- The mystery of 0.8660254037844386467637231707529361834714026269051903140279034897...↓ by (February 13th, 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 (February 29th, 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 (March 7th, 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 (April 15th, 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 (April 15th, 2024) ► presents three enigmas related to mathematics and music.
- What Lies Above Pascal's Triangle? by (August 2nd, 2024) ► extends Pascal’s triangle upward by using the binomial series expansion.
- Pentominoes and other Polyominoes - Numberphile by (December 23rd, 2024) ► We still know little about the numbers of n-ominoes.
- 18 mathematicians break my secret santa method by (December 23rd, 2024) ► A flawed algorithm for a decentralised Secret Santa.
- The Snakey Hexomino (unsolved Tic-Tac-Toe problem) - Numberphile by (January 20th, 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 (January 31st, 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 (February 3rd, 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 (February 3rd, 2025) ► How to mathematically modelise a very large metabolic map.
- How Did Water Solve the 1800-Year-Old Talmudic Bankruptcy Problem? by (February 15th, 2025) ► Using a hydraulic system to solve the Talmudic Bankruptcy Problem.
- Mathematicians finally find the infinite card game. by and (March 7th, 2025) ► How found an infinite game of Beggar-My-Neighbor.
- Shortest Path Algorithm Problem - Computerphile by (April 16th, 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 (April 30th, 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 (May 15th, 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).
- These 17 Paradoxes Will Change How You See the Universe by (June 19th, 2025) ► A list of well-known paradoxes.
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The Pigeonhole principle
- How Many Humans Have the Same Number of Body Hairs? | Infinite Series | PBS Digital Studios by (December 1st, 2016) ► The Pigeonhole Principle.
- ↪A Hairy Problem (and a Feathery Solution) - Numberphile by (November 20th, 2022) ► The same.
- The Pigeon Hole Principle: 7 gorgeous proofs by (April 10th, 2021) ► Some examples of proofs using the pigeonhole principle.
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Induction
- Epic Induction - Numberphile by (August 3rd, 2022) ► Two examples of an induction proof.
- ↪The Notorious Question Six (cracked by Induction) - Numberphile by (August 5th, 2022) ► The solution of question 6 of 1988 Math Olympiad.
- ↪Induction (extra) - Numberphile by (August 7th, 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 (November 2nd, 2024) ► An introduction to well-founded induction.
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Quadratic Reciprocity
- Why did they prove this amazing theorem in 200 different ways? Quadratic Reciprocity MASTERCLASS by (March 14th, 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 (November 1st, 2023) ► This article explains the interest of Quadratic Reciprocity, but there are little mathematical details.
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The Langlands Program
- Edward Frenkel: Langlands Program and Unification by (May 23rd, 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 (July 19th, 2021) ► The history, with no technical details, of perfectoids, diamonds, and the Fargues-Fontaine curve.
- The Biggest Project in Modern Mathematics by (June 1st, 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 (June 1st, 2022) ► A basic presentation of Ramanujan conjectures and Langlands conjectures.
- The Langlands Program - Numberphile↑ by (September 28th, 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 (July 19th, 2024) ► The title says it all.
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Polynomials
- De remarquables identités - Speed Maths #08 by (February 17th, 2020) ► The classical explanation of remarkable identities using geometry.
- ★ Pour bien commencer : les Degrés 0 et 1 - La Saga des Équations Algébriques #1 by and (August 20th, 2020) ► The definition of a polynomial and the resolution of algebraic equations of degree £[1£].
- Les identités remarquables en 4D - Micmaths by (January 24th, 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 (January 30th, 2024) ► The continuation of the previous video.
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Error correction
- Error Correcting Curves - Numberphile by (September 1st, 2023) ► A presentation of Reed–Solomon error correction.
- ↪Eating Curves for Breakfast - Numberphile by (September 1st, 2023) ► The continuation of the previous video.
- I built a QR code with my bare hands to see how it works by and (September 30th, 2024) ► The details of QR code encoding.
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Hamming correction codes
- Hat Problems - Numberphile by (July 6th, 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 (September 4th, 2020) ► An explanation of Hamming codes.
- ↪Hamming codes part 2: The one-line implementation by (September 4th, 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 (November 24th, 2021) ► A code with optimal rate, distance, and local testability has been found.
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Evolution
- Why do things exist? Setting the stage for evolution. by (May 19th, 2018) ► Kind of analysing two very simple population models.
- How life grows exponentially by (June 20th, 2018) ► Another way to analyse of the second model.
- Mutations and the First Replicators by (July 21st, 2018) ► A first simple model involving mutation.
- Simulating Competition and Logistic Growth by (August 26th, 2018) ► The fact that the resources are not infinite is now taken into account. This limits the total population.
- Simulating Natural Selection by (November 15th, 2018) ► Simulating a population with three traits: size, speed, and sense.
- What's a "selfish gene"? by (December 16th, 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 (March 7th, 2019) ► Some simulations with altruistic behaviours.
- Simulating Supply and Demand by (April 27th, 2019) ► A simulation based on a very simple model.
- Simulating the Evolution of Aggression by (July 28th, 2019) ► Yet another simple simulation and analysis of a population with two types of behaviour.
- Simulating Foraging Decisions by (March 14th, 2020) ► Some simple optimisation.
- Simulating Green Beard Altruism by (March 27th, 2021) ► Playing with a simple model.
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Fold and Cut Theorem
- Fold and Cut Theorem - Numberphile by (September 25th, 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 (October 21st, 2019) ► The title says it all.
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Flexagons
- Les hexaflexagones - Micmaths by (July 12th, 2014) ► How to build a hexaflexagon with three faces.
- Hexaflexagones : la multiplication des faces - Micmaths by (February 23rd, 2015) ► How to build a hexaflexagon with four faces.
- The Forgotten Flexagon - Numberphile by (October 17th, 2019) ► The hexatetraflexagon.
- ↪Forgotten Flexagon (extra) - Numberphile by (October 17th, 2019) ► The continuation of the previous video.
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Axioms
- What Does It Mean to Be a Number? (The Peano Axioms) | Infinite Series by (February 27th, 2018) ► A very clear description of Peano axioms.
- ↪What are Numbers Made of? | Infinite Series by (March 1st, 2018) ► The continuation of the previous video: Zermelo’s and Von Neumann’s constructions.
- How ISPs Violate the Laws of Mathematics by (March 1st, 2019) ► A joke on the fact that a lying ISP violates the ZFC axioms.
- The Foundation of Mathematics - Numberphile by (June 3rd, 2024) ► Some little basic information about mathematics foundation: set theory, category theory…
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Axiom of Choice
- Death by infinity puzzles and the Axiom of Choice by (January 21st, 2017) ► Some puzzles involving sets of size ℵ0.
- How the Axiom of Choice Gives Sizeless Sets | Infinite Series by (September 14th, 2017) ► The title says it all.
- The most controversial axiom of all time↑ by (July 18th, 2018) ► A good overview of the axiom of choice.
- Une énigme paradoxale (mathématiques fondamentales) - Passe-science #60 by (August 21st, 2024) ► The resolution of an enigma of using the Axiom of Choice.
- The Man Who Almost Broke Math (And Himself...) by and (April 2nd, 2025) ► The story of the Axiom of Choice.
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Banach-Tarski paradox
- Deux (deux ?) minutes pour... Le théorème de Banach-Tarski by (August 23rd, 2016) ► The title says it all.
- Double for Nothing: the Banach-Tarski Paradox by (November 9th, 2017) ► A detailed explanation of the paradox.
- ↪Double for Nothing, part 2 by (February 10th, 2018) ► The continuation of the previous article.
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Sierpinski-Mazurkiewicz paradox
- The Sierpinski-Mazurkiewicz Paradox (is really weird) by (July 28th, 2022) ► A presentation of the paradox.
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Non-transitivity
- Quelques problèmes d'ordre... - Micmaths by (September 8th, 2015) ► Some examples of intransitivity, such as the non-transitive dice.
- Un tour de cartes non transitif - Micmaths by (September 15th, 2015) ► The title says it all.
- The Most Powerful Dice - Numberphile by (September 20th, 2016) ► A similar description of non-transitive dice.
- Des dés renversants ! - Speed Maths #02 by (August 2nd, 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 (January 19th, 2023) ► Mathematicians are studying the probabilities that a set of dice is intransitive.
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Computing machines
- Les machines à calculer du musée des Arts et Métiers by and (July 2nd, 2020) ► Pascal’s calculator, Léon Bollée’s Multiplier, and Jacquard machine.
- Reinventing the magic log wheel: How was this missed for 400 years? by (April 2nd, 2022) ► A circular slide rule.
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Clifford Stoll
- The Millionaire Machine - Numberphile by (February 24th, 2016) ► A mechanical calculator created in 1893.
- The Electric Slide Rule - Numberphile by (August 3rd, 2016) ► How to use a slide rule to perform multiplication.
- An astonishing old calculator - Numberphile by (November 30th, 2017) ► Friden EC-132 and its wire storage.
- ↪Friden Calculator (extra footage) by (May 20th, 2018) ► The continuation of the previous video.
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Micmaths
- Les bouliers - Machines à calculer #1 - Micmaths by (May 13th, 2017) ► Abacuses.
- Addiator - Machines à calculer #2 - Micmaths by (June 2nd, 2017) ► Addiators.
- Tables de multiplication insolites - Machines à calculer #HS1 - Micmaths by (November 12th, 2017) ► Some simple multiplication gadgets.
- Calculatrices à roues - Machines à calculer #3 - Micmaths by (June 23rd, 2018) ► Some variations of the Pascaline and the Caroline improvement.
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The look-and-say series
- Look-and-Say Numbers (feat John Conway) - Numberphile by (August 8th, 2014) ► describes the series he studied.
- Deux (deux?) minutes pour la suite de Conway by (June 29th, 2015) ► The look-and-say sequence created by .
- Can you trust an elegant conjecture? by (September 13th, 2022) ► A summary of an analysis of the binary look-and-say sequence.
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Sets
- Let's Talk About Sets - Numberphile by (May 17th, 2016) ► Some miscellaneous facts about sets: sets of positive integers, fractal sets.
- ↪Sets (extra footage) - Numberphile by (May 31st, 2016) ► The continuation of the previous video.
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Linear algebra
- Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra by (March 17th, 2019) ► The title says it all.
- A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra by (May 7th, 2021) ► A trick to compute the eigen values of a 2x2 matrix.
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Polynomial equations
- Odd Equations - Numberphile by (June 10th, 2014) ► Showing that polynomial equations having an odd power have a solution, using the Dedekind cut.
- Fundamental Theorem of Algebra - Numberphile by (July 9th, 2014) ► The title says it all.
- Why did we forget this simple visual solution? (Lill's method) by (April 26th, 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 (January 14th, 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 (April 21st, 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 (June 30th, 2022) ► The well-known story of , , and .
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Four colour theorem
- Le théorème des 4 couleurs by (February 22nd, 2015) ► A quick description of the four colour theorem and some geographical anecdotes.
- ↪Retour sur le théorème des 4 couleurs — Carte Postale #2 by (August 19th, 2016) ► Answering some feedback on the previous video.
- The Four Color Map Theorem - Numberphile by (March 20th, 2017) ► A similar video.
- ↪Four Color Theorem (extra footage) - Numberphile by (March 25th, 2017) ► The continuation of the previous video.
- A simple "proof" of the Four Color Theorem (April fool's day video) by (April 1st, 2018) ► A flawed proof of the theorem, the challenge is to find the error.
- Cercles et coloriage - Automaths #10🚫 by (January 22nd, 2019) ► A similar problem: the colouring of tangent circles.
- [AVENT MATHS] : 4 couleurs pour une carte🚫 by (December 4th, 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 (March 29th, 2023) ► The story of the four colours theorem and the basic of graph colouring.
- Les couleurs du Rulpidon - Sylvie Benzoni-Gavage by (March 22nd, 2024) ► Finding a complete 9-colour map on the Rulpidon.
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Proof assistant
- In Mathematics, Mistakes Aren’t What They Used to Be — Computers can’t invent, but they’re changing the field anyway. by (May 7th, 2015) ► Using computers for mathematical demonstrations, in particular as proof assistants.
- Meven Bertrand - 4 couleurs suffisent by (March 12th, 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 (July 28th, 2021) ► Lean has been used to check a proof of .
- Assia Mahboubi - Mathématiques et preuves formelles↑ by (March 25th, 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 (June 29th, 2022) ► A presentation of Lean.
- Automated Mathematical Proofs - Computerphile↓ by (August 9th, 2022) ► A rather bad presentation of Lean.
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Juggling
- Juggling by Numbers - Numberphile by (September 29th, 2017) ► Theorising juggling.
- Thomaths 17a : Maths et Jonglerie (2 ans) by and (March 30th, 2022) ► The same.
- ↪Thomaths 17b : Jonglerie et Combinatoire by (June 17th, 2022) ► The continuation of the previous video.
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The Boolean Pythagorean Triples problem
- La plus grosse preuve de l’histoire des mathématiques by (July 5th, 2016) ► A supercomputer was used to generate the proof of the Boolean Pythagorean triples problem.
- ↪The Problem with 7825 - Numberphile by (May 17th, 2018) ► A basic and clear presentation of the previous result.
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Cellular automata
- Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife by (December 8th, 2011) ► The title says it all.
- ↪SmoothLifeL by (October 9th, 2012) ► A video of the previous cellular automata.
- Life in life by (May 13th, 2012) ► The game of life implemented in the game of life.
- Does John Conway hate his Game of Life? by (March 3rd, 2014) ► explains his game of life.
- Inventing Game of Life (John Conway) - Numberphile by (March 6th, 2014) ► explains how he created the game of life, from Von Neumann cellular automaton idea.
- 7.1: Cellular Automata - The Nature of Code by (August 10th, 2015) ► A very basic introduction to cellular automata.
- ↪7.2: Wolfram Elementary Cellular Automata - The Nature of Code by (August 10th, 2015) ► Wolfram Elementary CA and its infamous rule 30.
- ↪7.3: The Game of Life - The Nature of Code by (August 10th, 2015) ► ’s game of life.
- ↪7.4: Cellular Automata Exercises - The Nature of Code by (August 10th, 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 (December 11th, 2015) ► Langton’s ant and emergent behaviour.
- Two Hours of Experimental Mathematics by (March 6th, 2017) ► Some evangelism of for his usual play with cellular automata.
- Les Automates Cellulaires réversibles - Passe-science #23⇈ by (July 21st, 2017) ► A very interesting reversible cellular automaton: Single Rotation.
- Le Jeu de la Vie by (December 8th, 2017) ► A classical but effective presentation of Conway’s game of life and Wolfram’s elementary cellular automaton.
- Terrific Toothpick Patterns - Numberphile by (December 10th, 2018) ► Some simple automata.
- Structures auto-répliquantes dans les automates cellulaires - Passe-science #27⇈ by (May 29th, 2019) ► Some self-replicating cellular automata.
- Secret of row 10: a new visual key to ancient Pascalian puzzles by (November 30th, 2019) ► Analysing a simple cellular automaton.
- Random Boolean Networks - Computerphile by (November 13th, 2020) ► A short presentation of Random Boolean Networks.
- Le jeu de la vie (⧉) by (November 27th, 2021) ► A presentation of the game of life.
- LENIA : Une nouvelle forme de vie mathématique ! by (January 19th, 2024) ► A presentation of Lenia: an automata with continuous states, space, and time.
- Le Jeu de la Vie.↑ by (April 20th, 2024) ► Some nice story telling, but nothing new here.
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Conway-Coxeter friezes
- Frieze Patterns - Numberphile by (August 6th, 2019) ► A presentation of Conway-Coxeter friezes.
- ↪Frieze Patterns (extra) - Numberphile by (August 6th, 2019) ► The continuation of the previous video.
- A Fascination with Fractured Friezes - Numberphile by (December 3rd, 2024) ► Some further results on Conway-Coxeter friezes.
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Solitons
- Vincent Duchêne - Les solitons du Petit Poucet by (October 16th, 2019) ► A presentation of solitons in the Box-Ball System.
- Présentation de solitons dans une chaîne de pendules (Biennale du son 2022) by (June 3rd, 2022) ► A presentation of solitons and an experiment.
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Percolation
- Marie Théret - Au Feu ! by (November 7th, 2019) ► A short presentation about percolation.
- Percolation: a Mathematical Phase Transition by (August 9th, 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 (December 18th, 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.
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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 (March 8th, 2020) ► A simple model of an epidemic.
- Épidémie, nuage radioactif et distanciation sociale by (March 12th, 2020) ► The impact of social distancing.
- Il n'y a pas de question stupide #03 : On va tous mourir ? by (March 14th, 2020) ► A presentation of the SIR model.
- The Coronavirus Curve - Numberphile by (March 25th, 2020) ► Another introduction to the SIR model.
- Simulating an epidemic by (March 27th, 2020) ► Experimenting with some toy models.
- Crystal Balls and Coronavirus - with Hannah Fry (⧉) by and (April 10th, 2020) ► speaks about the current situation and the video about pandemic she did two years ago.
- Epidemic, Endemic, and Eradication Simulations by (May 17th, 2020) ► Yet some other simulations.
- Why Masks Work BETTER Than You'd Think by (September 8th, 2020) ► The maths of masks.
- The Mathematics of Surviving Zombies - Numberphile⇊ by (February 10th, 2022) ► A humorous, but useless, explanation of an equation.
- Hugo Martin - Trois versions du modèle SIR by (April 15th, 2024) ► The title says it all.
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Chaotic systems
- Le billard de Sinaï - Speed Maths #01 by (July 27th, 2018) ► A very short presentation of Sinai billiard.
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Brachistochrone
- The Brachistochrone by and (January 21st, 2017) ► Creating a real-world cycloid to demonstrate it is brachistochronous and tautochronous.
- San Vũ Ngọc - Huygens et le pendule magique by (February 16th, 2017) ► The isochronous pendulum of Huygens is based on a cycloid.
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Gödel’s theorems
- Turing Centennial Conference: Turing, Church, Gödel, Computability, Complexity and Randomization by (April 4th, 2012) ► The history of computer theory, unsolvability, complexity… by one mathematician who participated to it.
- Les théorèmes d'incomplétude de Gödel by (December 9th, 2016) ► A short introduction to Gödel’s theorems.
- Gödel's Incompleteness Theorem - Numberphile by (May 31st, 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 (June 3rd, 2017) ► The continuation of the previous video.
- ↪Gödel's Incompleteness (extra footage 2) - Numberphile by (June 3rd, 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 (July 14th, 2020) ► A not-so-clear description of how Gödel’s theorem works.
- Victor Delage - Peut on échapper à Godel ? by (August 25th, 2020) ► The theory of real closed fields is not affected by Gödel’s theorem.
- Math's Fundamental Flaw by (May 22nd, 2021) ► A short description of overused subjects: Cantor’s diagonal, Gödel’s incompleteness theorems, the halting problem….
- Le théorème de Gödel (⧉) by (November 20th, 2021) ► A presentation to Gödel’s theorems.
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Tarski’s theorems
- Le PARADOXE DU MENTEUR et le THÉORÈME DE TARSKI | Argument frappant #8 by (April 1st, 2018) ► A very basic presentation of model theory and Tarski’s undefinability theorem.
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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 (December 4th, 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 (March 9th, 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 (January 3rd, 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 (May 21st, 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 (June 7th, 2025) ► A much better description of the previous discovery.
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P versus NP problem
- P vs NP : une question fondamentale des mathématiques et de l'informatique - Passe-science #18 by (July 5th, 2016) ► A good presentation of the P versus NP problem.
- P vs. NP - The Biggest Unsolved Problem in Computer Science by (January 21st, 2020) ► A very basic presentation of the P vs. NP problem.
- Nos algorithmes pourraient-ils être BEAUCOUP plus rapides ? (P=NP ?) by (July 17th, 2020) ► Yet another good presentation of the problem.
- ↪Est-ce que P = NP ? by (July 17th, 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 (May 11th, 2022) ► Some progress in analysing VP versus VNP.
- Les jeux classiques Nintendo sont (NP) difficiles - CJVC #01 by (April 25th, 2025) ► How to prove that some Nintendo games are NP-hard.
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The Unique Games Conjecture
- Approximately Hard: The Unique Games Conjecture — A new conjecture has electrified computer scientists by (October 6th, 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 (April 24th, 2018) ► Some progress has been done to prove the conjecture: the 2-2 Games Conjecture is proven.
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Game theory
- La Théorie des Jeux by (March 3rd, 2017) ► Game theory, prisoner’s dilemna, iterated prisoner’s dilemma.
- Le dilemme du prisonnier (⧉) by (October 9th, 2021) ► The prisoner’s dilemna and the iterated prisoner’s dilemma.
- Théorie des jeu: Nim et Sprague-Grundy - Passe-science #49 by (September 2nd, 2022) ► A presentation of Sprague–Grundy theorem.
- What Game Theory Reveals About Life, The Universe, and Everything↑ by , , and (December 23rd, 2023) ► A classical presentation of the Prisoner’s Dilemma, the iterated variant, and the noisy iterated variant.
- Une expérience de philosophie morale by (February 27th, 2024) ► An experimentation with a variant of the prisoner’s dilemma.
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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 (October 6th, 2016) ► The algorithm may require £[{{{{n^n}^n}^n}^n}^n£] steps.
- Equally sharing a cake between three people - Numberphile by (September 26th, 2017) ► The same algorithm.
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Gale-Shapley algorithm
- Sex and Marriage Theorems by (March 4th, 2017) ► Gale-Shapley algorithm.
- PARCOURSUP 👩🏽🎓🏫 et les algorithmes de mariage stable ❤️ by (January 9th, 2020) ► The application of Gale-Shapley algorithm to the French post-bac admission procedure.
- ↪Parcoursup, et les algorithmes de mariage stable by (January 9th, 2020) ► Somme additional information to the previous video.
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Elections
- Réformons l'élection présidentielle ! by (October 21st, 2016) ► Condorcet’s paradox, Arrow’s impossibility theorem, and majority judgment.
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Voting Systems and the Condorcet Paradox | Infinite Series by (June 15th, 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 (June 23rd, 2017) ► Trying to get a feeling of the proof of Arrow’s impossibility theorem.
- Simulating alternate voting systems by (November 2nd, 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 (April 5th, 2022) ► Some propaganda for the approval voting.
- Voting Paradoxes - Numberphile by (October 28th, 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 (November 5th, 2024) ► Why the percentages for each party are varying during the counting of the votes.
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Knight tour
- Knight's Tour - Numberphile by (January 16th, 2014) ► Some basic facts about Knight Tours.
- Le cavalier et les 64 cases - Les extraordinaires (TF1) - Micmaths by (March 8th, 2015) ► The explanation of the knight tour’s magical square trick.
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Puzzles
- Pebbling a Chessboard - Numberphile by (December 19th, 2013) ► An elegant demonstration of the "clone problem".
- More about Pebbling a Chessboard - Numberphile by (December 20th, 2013) ► Variations of the "clone problem".
- That Viral Math Problem (Cheryl's Birthday) - Numberphile by (April 17th, 2015) ► Resolution of "Cheryl’s Birthday" problem.
- Mondrian Puzzle - Numberphile by (November 14th, 2016) ► A puzzle a la .
- Frog Jumping - Numberphile by (February 23rd, 2017) ► Another one.
- Squared Squares - Numberphile by (June 5th, 2017) ► How the squaring of the square was solved.
- ↪A Nice Square - Numberphile by (June 5th, 2017) ► The continuation of the previous video.
- A Quick Cake Conundrum - Numberphile by (June 18th, 2017) ► A simple geometry puzzle.
- Can You Crack This Four Card Code? by (August 24th, 2017) ► Encoding information in 4 cards.
- Conway Checkers - Numberphile by (February 23rd, 2018) ► A description of Conway’s Soldiers.
- ↪Conway Checkers (proof) - Numberphile by (February 23rd, 2018) ► A lengthy solution to Conway’s Soldiers.
- ↪How did Fibonacci beat the Solitaire army? by (January 22nd, 2022) ► Another, very elegant, proof that the fifth row cannot be reached.
- Un puzzle impossible ? - Automaths #02🚫 by (March 25th, 2018) ► The usual bi-colour invariant trick.
- The Pentomino Puzzle (and Tetris) - Numberphile by (May 3rd, 2018) ► One of the puzzles proposed by .
- ↪The Coin Hexagon - Numberphile by (May 3rd, 2018) ► The continuation of the previous video with another puzzle.
- Le taquin impossible - Micmaths by (July 8th, 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 (November 6th, 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 (November 26th, 2018) ► These sequences are completely silly.
- ↪Subway Numbers (extra bit) - Numberphile⇊ by (November 27th, 2018) ► The continuation of the previous video.
- the 3 light bulbs puzzle by (December 1st, 2018) ► A well-known puzzle.
- the 7 oz gold bar problem by (December 9th, 2018) ► This one is very simple.
- Card Flipping Proof - Numberphile by (February 3rd, 2019) ► A card flipping game and a proof of the solution.
- Peaceable Queens - Numberphile by (May 15th, 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 (May 16th, 2019) ► A simple puzzle about a recursive sentence and the classical blue eyes puzzle.
- Game of Cat and Mouse - Numberphile↑ by (May 28th, 2019) ► What is the mouse strategy to escape the cat?
- Spéciale Énigmes - Myriogon #7 by (March 25th, 2020) ► The title says it all.
- The almost impossible chessboard puzzle by and (July 5th, 2020) ► A tricky puzzle about information encoding.
- ↪The impossible chessboard puzzle by (July 5th, 2020) ► The proof that the previous puzzle is solvable only for powers of 2.
- The Brussels Choice - Numberphile by (August 21st, 2020) ► Yet another number play with silly rules, but it is fully analysed here.
- Are you smarter than a first grader? by (August 27th, 2020) ► The solution is simpler than what you are looking for.
- How did Ramanujan solve the STRAND puzzle? by (September 6th, 2020) ► Using continued fractions to solve a puzzle.
- [AVENT MATHS] : 14 oeufs lancés🚫 by (December 14th, 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 (March 26th, 2021) ► Three puzzles that are simple to solve when you look at them the right way.
- Eureka Sequences - Numberphile by (April 13th, 2021) ► Finding the definition of two simples series.
- Hidden Dice Faces - Numberphile by (June 14th, 2021) ► A very simple trick with a die.
- ↪Three Dice Trick - Numberphile by (July 19th, 2021) ► Yet another very simple trick with dice.
- ↪Stacked Dice Trick - Numberphile by (September 22nd, 2021) ► And yet another one.
- Get Off The Earth (a famous & bamboozling problem) - Numberphile by (August 19th, 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 (September 21st, 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 (October 16th, 2021) ► The explanation of a simple puzzle solution and another more difficult puzzle.
- Stones on an Infinite Chessboard - Numberphile by (January 10th, 2022) ► Some boundary analysis on an interesting chessboard problem.
- The Coolest Hat Puzzle You've Probably Never Heard (SoME2) by (August 16th, 2022) ► At first glance, the problem seems impossible. But reasoning the right way, it is trivial.
- The Light Switch Problem - Numberphile by (February 16th, 2023) ► A simple puzzle using number theory.
- Can Magnus Carlsen Solve Impossible BBC Puzzles? by (June 9th, 2025) ► solves some puzzles on a chessboard.
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Logic puzzles
- How to Solve the Hardest Logic Puzzle Ever — A step-by-step guide to True, False, and Random. by (November 5th, 2015) ► An explanation on how solved ’s problem (see also Wikipedia).
- Harry Potter : l'énigme des potions - Micmaths🚫 by (June 25th, 2017) ► The resolution of a logical puzzle present in Harry Potter and the Philosopher’s stone.
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Bucket puzzles
- How not to Die Hard with Math by (May 30th, 2015) ► Solving the bucket puzzle with a triangular grid.
- Des seaux et un billard - Automaths #04🚫 by (May 13th, 2018) ► The same, in French, with less explanations.
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Towers of Hanoi
- Binary, Hanoi and Sierpinski, part 1 by (November 25th, 2016) ► Solving the Hanoi towers by counting in base 2.
- ↪Binary, Hanoi, and Sierpinski, part 2 by (November 25th, 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 (July 21st, 2018) ► The same as the previous videos, but explained in a much less visual way.
- The ultimate tower of Hanoi algorithm by (March 6th, 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 (October 27th, 2021) ► Yet another video on the towers of Hanoi.
- ↪Tower of Hanoi (extra) - Numberphile by (October 28th, 2021) ► The continuation of the previous video.
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Sudoku
- Le théorème du Sudoku - Speed Maths #04 by (September 4th, 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 (January 4th, 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 (January 9th, 2024) ► A very tricky Sudoku grid.
- A Bizarre Sudoku Set-Up - Numberphile by (March 17th, 2024) ► A similar one.
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The 100 Prisoners Problem
- An Impossible Bet | The 100 Prisoners Problem by (December 8th, 2014) ► The puzzle.
- Solution to The Impossible Bet | The 100 Prisoners Problem by (December 8th, 2014) ► The solution.
- The unbelievable solution to the 100 prisoner puzzle. by and (November 4th, 2019) ► A real world experiment of the 100 prisoner puzzle.
- The Riddle That Seems Impossible Even If You Know The Answer by (June 30th, 2022) ► Yet another video on the 100 Prisoners Problem.
- ↪My response to being reverse-Dereked by (July 2nd, 2022) ► ’s answer.
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Quizzes
- Le grand quiz maths de Roger Mansuy - Myriogon #19 by and (April 20th, 2020) ► A math culture quiz.
- Le grand Quiz Maths de Roger Mansuy, épisode 2 - Myriogon #22 by and (April 27th, 2020) ► Another quiz.
- Quiz spécial Kangourou des maths, avec André Deledicq - Myriogon #23 by and (April 28th, 2020) ► Some question from the Mathematical Kangaroo.
- Le Grand Quiz de Manu Houdart - Myriogon #28 by and (May 6th, 2020) ► Yet another quiz.
- Le grand quiz du Jeudi 14 mai 2020 - Live by and (May 14th, 2020) ► Yet another quiz.
- Le grand quiz du Jeudi 21 mai - Live - 18h00 by and (May 21st, 2020) ► Yet another quiz.
- Le grand quiz du Dimanche 31 mai - Live - 10h45 by (May 31st, 2020) ► Yet another quiz.
- Le grand quiz du Jeudi 04 Juin - Live (5) - 18h00 by (June 4th, 2020) ► Yet another quiz.
- (6) Le grand quiz du Jeudi 11 Juin 2020 - Live - 18h00 by and (June 11th, 2020) ► Yet another quiz.
- (7) Le grand quiz du Jeudi 18 Juin 2020 - Live - 18h00 by (June 18th, 2020) ► Yet another quiz.
- (8) Le grand quiz du Jeudi 25 Juin – Live – 18h00 by (June 25th, 2020) ► The last quiz of the season.
- Le démon des multiples - Mathsdrop by (March 25th, 2025) ► An egnima whose solution exploits the 11 multiplicity criteria and a presentation of OEIS.
- Quiz mathématique - Mathsdrop by (April 8th, 2025) ► A quiz, mostly on probability and combinatorics.
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Hardware
- The mind-boggling Key and Ring Puzzle!! by (April 5th, 2019) ► A very simple one.
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Card tricks
- Shuffling Card Trick - Numberphile by (March 2nd, 2016) ► Gilbreath’s principle: consecutive values remain distinct in modulo space after a Gilbreath’s shuffle.
- 21-card trick - Numberphile by (July 11th, 2018) ► Explaining the trick using modular arithmetic.
- James ❤️ A Card Trick - Numberphile by (June 25th, 2019) ► A card trick based on Proizvolov’s identity.
- Un tour de magie - Automaths #15🚫 by (March 27th, 2020) ► A simple trick.
- How did the 'impossible' Perfect Bridge Deal happen? by (April 23rd, 2021) ► A Faro shuffle does not really shuffle the cards.
- The most ridiculously complicated maths card trick. by (August 5th, 2021) ► How to place a given card at a given position using in and out shuffles.
- Card Memorisation (using numbers) - Numberphile by (January 8th, 2023) ► Memorising the colours of a deck of cards.
- ↪Card Memorisation (extra) - Numberphile by (January 10th, 2023) ► The continuation of the previous video.
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Maths and quantum theory
- Alain Connes - “Espace-temps, nombres premiers, deux défis pour la géométrie” by (November 12th, 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 (April 4th, 2017) ► The nontrivial zeros of the Riemann ζ function are linked to the eigenvalues of a quantum system.
- Math vs Physics - Numberphile by (June 28th, 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 (June 28th, 2017) ► The continuation of the previous video.
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Do mathematics exist?
- Do numbers EXIST? - Numberphile by (June 3rd, 2012) ► Platonism, nominalism, and fictionalism.
- Philosophy of Numbers - Numberphile by (September 18th, 2015) ► Platonism, intuitionism/constructivism, and formalism.
- Are Prime Numbers Made Up? | Infinite Series | PBS Digital Studios by (November 24th, 2016) ► The realism and antirealism debate.
- Roger Penrose - Is Mathematics Invented or Discovered? by and (April 13th, 2020) ► The title says it all.
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Quelle est la question ?
- [17h] Quelle est la question ? avec Robin Jamet - Myriogon #18 by and (April 16th, 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 (May 29th, 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 (May 30th, 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 (May 31st, 2020) ► Playing with 10-adic numbers.
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Les miscellanées de Roger
- #Myriogon 30 -- Les miscellanées de Roger by and (May 11th, 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 (May 18th, 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 (May 25th, 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 (June 8th, 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 (June 22nd, 2020) ► Catalan numbers, a well-known paradox with hyperspheres, Ramanujan iterated square roots is a prime, Monsky’s theorem, and Hutchinson’s theorem.
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Mathsdrop
- Jolies démonstrations mathématiques - Mathsdrop by (May 23rd, 2025) ► Some "nice" proofs. The one for Buffon’s needle is not convincing.
- Retour sur les problèmes ouverts (Hilbert, Palindromes et Pikachemins) - Mathsdrop by (June 13th, 2025) ► The title says it all.
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Proselytism
- À quoi servent les mathématiques ? by , , , , , , , and (August 21st, 2016) ► Some miscellaneous uses of mathematics.
- À quoi ça sert les maths ? ft Internet by (November 15th, 2016) ► 50 answers about the usage of mathematics, by many persons.
- J'aime les maths | τ^τ abonnés !! (ft. YouTube) by (October 26th, 2017) ► The answers of many persons.
- 'Experimenting with Primes' - Dr Holly Krieger by (November 7th, 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 (April 26th, 2019) ► Some proselytism for Maths World UK.
- Tu es fort en maths ? Alors, écoute-moi, stp. by (January 26th, 2020) ► Advice to give private lessons in math.
- Interview d'Alice Ernoult by and (May 6th, 2022) ► describes her education and why she became president of APMEP.
- What makes a great math explanation? | SoME2 results by (October 1st, 2022) ► Some of the best video and article entries of SoME2.
- Interview de Eve et Alex by , , and (March 1st, 2023) ► A short interview of and .
- Mmm ! Ep.20 - MATHSCOLLECTION (par On fait des Maths ?) by and (June 2nd, 2023) ► A nice way of finishing the first season of Mmm!
- How They Fool Ya (live) | Math parody of Hallelujah by (June 28th, 2023) ► A version of the song about deceptive patterns.
- 25 Math explainers you may enjoy | SoME3 results by (October 7th, 2023) ► A selection of the best entries for SoME3.
- Pourquoi aimez vous les maths avec Thomaths ? by and (October 18th, 2023) ► and explain their interest for mathematics.
- Search for the mythological Klein-ing Frame by (August 8th, 2024) ► looked for and found a topology-themed small playground in Japan.
- S03E01. La nouvelle équipe by , , , and (August 8th, 2024) ► and present their education and work.
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Chouxrom
- L'homme qui défiait l'infini - Chouxrom' Ciné Club #01 by (November 28th, 2017) ► How mathematically correct is The Man Who Knew Infinity?
- Cube - Chouxrom' Ciné Club #02 by (January 10th, 2018) ► The numerous errors in Cube.
- Quand Matt Damon fait des maths... - Chouxrom' Ciné Club #03 by (May 20th, 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 (August 10th, 2018) ► The formulas seem correct, but some numerical computations are wrong.
- Résoudre Navier-Stokes à 8 ans ? - Chouxrom' Ciné Club #05 by (March 18th, 2019) ► Gifted is fine at the mathematical level and quickly presents the Navier–Stokes equation.
- Les mathématiques de Futurama - ChouxRom' Cine Club #06 by (July 16th, 2021) ► The sciences and, in particular, the mathematics in Futurama.
- Survivre à Squid Game grâce aux maths ? - Chouxrom' Cine Club #07 by (April 3rd, 2022) ► Analysing the probability of a situation in Squid Game.
- Les mathématiques de Marvel - Ccc #08 by (August 30th, 2022) ► Some mathematics inspired by Marvel movies.
- Elle démontre la conjecture de Goldbach ? - CCC #09↑ by (September 24th, 2024) ► Some mathematical subjects from "Le Théorème de Marguerite": Goldbach’s conjecture, Dubner’s conjecture, Helfgott’s theorem, Helfgott’s theorem, prime number theorem, Szemerédi’s theorem…