PickVidsBest Recreational & visual math Videos
「Recreational & visual math」下面有141部被不同的人、在不同月份推荐过的视频。挑的时候先看对象：入门35部，适合还没学过的人；进阶22部，适合已经懂术语的人；普通向84部，按兴趣就能看；更硬的0部，留给想看推导或细节的人。这一类数量最多的是讲解，所以它们的共同点是用一个图像或类比把一个概念补上。常出现的频道包括3Blue1Brown、Numberphile、Stand-up Maths。目录给这个主题划的范围是：Math explainers and recreation: 3Blue1Brown, Numberphile, Mathologer, puzzles, fractals, surreal numbers, math history, mathematicians, beautiful proofs, math in everyday life.如果只看三部，就从《Vectors | Chapter 1, Essence of linear algebra》开始，它负责把问题讲出画面；然后看《But what is the Fourier Transform? A visual introduction.》，换一种讲法或例子；最后看《But what is a neural network? | Deep learning chapter 1》，留给已经有基础的人。页面按每页24部切开，顺序看的是被推荐跨越了多少个月，不是播放量。每条标题下面那一句是这部片子自己的内容说明，用来区分它在讲定义、过程、演示还是观点。点进去能看到推荐原话、原文链接和适合谁看。看的时候把强烈推荐当成有人明确叫你去看，把引用当成只是拿来举例，把批评留下来对照，不要把每条评论都当成同一力度。
SmoothLifeL
Tim Hutton's demonstration of SmoothLifeL, a continuous version of Conway's Game of Life using floating point values.
But what are Hamming codes? The origin of error correction
3Blue1Brown's discovery-oriented introduction to error correction codes, building up Hamming codes from the puzzle of locating a flipped bit.
How Imaginary Numbers Were Invented
Veritasium tells the history of how imaginary numbers arose from the quest for a general solution to the cubic equation, including the duels and secrecy among Renaissance mathematicians.
Infinity is bigger than you think - Numberphile
Numberphile's James Grime explains Cantor's result that some infinities are bigger than others, including why the reals outnumber the integers.
The medical test paradox, and redesigning Bayes' rule
3Blue1Brown explains why positive results on accurate medical tests are often false positives, and reframes Bayes' rule using likelihood ratios (Bayes factors) to update odds.
e^(iπ) in 3.14 minutes, using dynamics | DE5
A short 3Blue1Brown video explaining Euler's formula e^(i*pi) = -1 through dynamics, treating velocity as the thing that moves a point to a new position.
Four Dimensional Maths: Things to See and Hear in the Fourth Dimension - with Matt Parker
Matt Parker gives a hands-on Royal Institution talk on how four-dimensional shapes appear in a 3D world, with props like straw frames, Mobius strips and a knitted hat.
Fantastic Quaternions - Numberphile
Numberphile's James Grime introduces quaternions, a type of number beyond the complex numbers, building up from real and complex numbers and explaining why they are useful.
Pi hiding in prime regularities
3Blue1Brown shows how pi emerges from prime numbers via complex numbers and sums of squares, culminating in a formula for approximating pi.
Flaw in the Enigma Code - Numberphile
Numberphile's Dr James Grime explains the flaw in the Enigma machine, namely that a letter could never be encrypted to itself, and how that helped the Allies break the code.
Graham's Number - Numberphile
Numberphile's Tony Padilla and Matt Parker discuss Graham's number, once the largest number used in a mathematical proof, and how enormous it is.
Numberphile v. Math: the truth about 1+2+3+...=-1/12
Mathologer examines the infamous Numberphile claim that 1+2+3+...
The Zipf Mystery
Vsauce's explainer on Zipf's law, the pattern in which the frequency of a word is inversely related to its rank.
Anagrams, but where you can break apart letters: "Anagraphs"
Tom Scott-style exploration by suckerpinch (Tom7) of generalized anagrams where letters can be broken into pieces, called anagraphs, with a whimsical computational approach.
Times Tables, Mandelbrot and the Heart of Mathematics
Mathologer shows how times table diagrams on a circle produce cardioids and other curves connected to the Mandelbrot set.
Randomness is Random - Numberphile
Numberphile with Simon Pampena on how humans misunderstand randomness, including coin-flip sequences, run lengths and the gambler's fallacy.
How are holograms possible?
3Blue1Brown explains how holograms record a 3D scene on 2D film, using wave diffraction and phase.
Math Encounters -- Five Balls, Two Hands: The Patterns of Juggling -- Colin Wright (Presentation)
Mathematician Colin Wright demonstrates juggling and explains the mathematics of juggling patterns, including notation that led to new throwing patterns.
New Horizons in Music: Polyrhythms | Loop
Adam Neely's Ableton Loop 2017 talk links rhythm, pitch and synaesthesia.
How secure is 256 bit security?
3Blue1Brown illustrates how enormous the 256-bit search space is, showing how infeasible it is to find a hash or key by guessing and checking.
Cosmos - Carl Sagan - 4th Dimension
A segment from Carl Sagan's original Cosmos explaining the fourth spatial dimension through analogy with a two-dimensional world and shadow projection.
HACKENBUSH: a window to a new world of math
Owen Maitzen's animated hour-long introduction to Hackenbush, a simple combinatorial game, and how its strategy leads to surreal numbers and the roots of the number system.
1. A strange determinant
Timothy Gowers thinks aloud, in real time, as he tries to understand why Pascal's determinant equals 1.
Pi and the Mandelbrot Set - Numberphile
Numberphile with Dr Holly Krieger shows how the digits of pi surprisingly emerge from the Mandelbrot set.