Matt Henderson

@matthen.com

Maths animations, dialogue systems research Research @ PolyAI, previously Google, Apple, Reka. PhD Cambridge

1, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 11, 13, 16, 15, 14, 17, -1, 18, 24, 20, 19, 21, 23, 22, 30, 32, 25, 36, 28, 31, 29, 27, 26, 37, 40, 35, 42, 48, 33, 34, 41, 64, 60, 43, 45, 56, 44, 47… The most common numbers in the Online Encyclopaedia of Integer Sequences, sorted by frequency

sequence of the smallest numbers that are not listed in the OEIS: 20990, 23543, 23735, 24085, 24159, 24555, 26301, 26673, 26708, 27266, 27815, 27988, 28330, 28353, 28869, 28946, 29577, 29962, 30131, 30146, 30193, 30328, 30466, 30473…

The first valid TGA image starts 7.97 million digits into pi (byte 3,310,525 of its binary expansion) It’s 33,207 × 20,901, 24-bit RLE truecolour, so the bits of pi after the header are read as colours and repeat values. Here is its top-left corner-

Bild

a parabola is formed when circles radiating from a point meet lines moving at the same speed. this is equivalent to slicing a cone parallel to its slope

Seamlessly loops every 10 seconds. But follow any dot and you will be watching for over an hour before it returns to its starting position.

Playing with the P, I, and D weights in a PID controller. P = Proportional: push in proportion to how far the ball is off I = Integral: accumulate historical error to fix slow drift D = Derivative: respond to how fast the error is changing, to damp it

Drawing all 16,777,216 possible 12 bit RGB colours in one 2D image, each exactly once. Pixels are mapped from the 256³ colour cube, following a three dimensional Hilbert curve, to a two dimensional Hilbert curve filling the square. so nearby colours stay close.