iiinova — where your digital self keeps evolving

Reposted by Matt Henderson

Zeno Rogue @zenorogue.bsky.social · 26/09/2026

And a moving version.

Matt Henderson @matthen.com · 26/09/2026

How have the constellations changed since humans first looked up? Has the big dipper always pointed to Polaris? Has Polaris always been the North star? (nope!)

211119

Matt Henderson @matthen.com · 24/09/2026

every (convex) quadrilateral is a square- if you view it from the right perspective

1231432

Matt Henderson @matthen.com · 23/09/2026

Repeated subdivision of triangles by centroid- infinite zoom

58513

Matt Henderson @matthen.com · 23/09/2026

Repeatedly subdividing a triangle using its centroids

1021936

Reposted by Matt Henderson

Matt Henderson @matthen.com · 20/09/2026

And here is how to make a parabola with sand

1452

Matt Henderson @matthen.com · 20/09/2026

How to make an ellipse, using sand and physics

1538648

Matt Henderson @matthen.com · 16/09/2026

Trying to forecast the future on a Galton board

1658081

Matt Henderson @matthen.com · 15/09/2026

entropy doesn't always go up 😄 these balls start balanced, then end up all in the right chamber, balanced again, then all in the left chamber, before finally balancing (how?)

14848

Matt Henderson @matthen.com · 15/09/2026

wait- why does the entropy go down?

11493

Matt Henderson @matthen.com · 14/09/2026

chaos from bouncing a ball in a circle- at each point, I simulate a bunch of futures with slightly different velocities- showing how predictable the system would be with measurement error. The system seems to move between Stable Eras and Chaotic Eras, where it is hard to predict four bounces ahead

423937

Matt Henderson @matthen.com · 13/09/2026

Approximating the Lorenz attractor with a chaotic leaky water wheel. The orange dot is the centre of mass of the water. It traces (a projection of) the familiar attractor as the wheel spins seemingly randomly left and right.

14739151

Matt Henderson @matthen.com · 13/09/2026

Let me measure it rather than guess.

1110

Matt Henderson @matthen.com · 11/09/2026

A cellular automaton from Minecraft crafting recipes

522633

Reposted by Matt Henderson

Minor Mobius @minormobius.bsky.social · 09/09/2026

I have been very busy today but I did make a toy website to play with this extremely cool viz, the Henderson era continues unabated henderhead.mino.mobi/cf/

1224

Matt Henderson @matthen.com · 09/09/2026

Drawing a picture from the continued fraction of a number. The continued fraction terms drive a Fourier series.

510023

Matt Henderson @matthen.com · 07/09/2026

A ring built from the Julia sets found along the main cardioid of the Mandelbrot set. one of my favourite mathematical objects

726444

Matt Henderson @matthen.com · 04/09/2026

What route should you take from the blue pin to the red pin, if you need to cross the road to touch the far side in between? You want the fastest route, but counting time on the road for double that on the pavement - it is more dangerous. you will rediscover the laws for reflection and refraction!

310310

Reposted by Matt Henderson

Matt Henderson @matthen.com · 03/09/2026

What if light travelled super slow? Part 2 Things get even weirder with moving objects!

36814

Matt Henderson @matthen.com · 03/09/2026

What if light travelled super slow? turning a lamp on and off in an infinite mirror hallway

811918

Matt Henderson @matthen.com · 02/09/2026

What if our ears were like our eyes, and only had three (types of) receptors? Interestingly speech is still more or less intelligible, but not much else to me this shows how much more discriminating of frequencies our hearing is than our vision. Of course our vision has much more spatial resolution

1218338

Matt Henderson @matthen.com · 01/09/2026

Here I draw a circle by hand. In a universe where it is the perfect circle- what does a sine wave look like? What is its value of pi?

620433

Matt Henderson @matthen.com · 01/09/2026

searching for a knight's tour to cover a 6x6 board, using a very simple backtracking algorithm maybe a bit more frustrating than satisfying!

3691

Matt Henderson @matthen.com · 31/08/2026

Solving a Sudoku (in place)

7683

Matt Henderson @matthen.com · 31/08/2026

How many knight’s moves does it take to reach a given square from the centre? Presenting the Knight’s Distance Function It settles on an expanding dithered octagon shape, but distance 3 and 4 are interesting cases

4425

Matt Henderson @matthen.com · 31/08/2026

Knight’s Distance Function (how many knight moves a square is from another)

412214

Matt Henderson @matthen.com · 30/08/2026

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

79411

Matt Henderson @matthen.com · 30/08/2026

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…

2435

Matt Henderson @matthen.com · 30/08/2026

Reaction Diffusion in Photoshop- Blur, Sharpen, Posterize, repeat

221431

Matt Henderson @matthen.com · 28/08/2026

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-

411117

Matt Henderson @matthen.com · 27/08/2026

2D Voronoi cells from 3D cones

514514

Matt Henderson @matthen.com · 27/08/2026

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

314223

Matt Henderson @matthen.com · 26/08/2026

To tell if a maze is solvable, just hang it by its corners If it tears into pieces, you’ve found a solution

694118857

Matt Henderson @matthen.com · 25/08/2026

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.

521733

Matt Henderson @matthen.com · 25/08/2026

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

512628

Matt Henderson @matthen.com · 24/08/2026

Building a binary adder in Candy Crush

05611

Matt Henderson @matthen.com · 23/08/2026

What if gravity fell off as 1/r^1.9 instead of 1/r²? We would have to say bye to the Moon

3252

Matt Henderson @matthen.com · 22/08/2026

Gosper Curve from Substitutions

2183

Matt Henderson @matthen.com · 17/08/2026

New Game of Life shader pack just dropped

2465

Matt Henderson @matthen.com · 16/08/2026

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.

251152178

Matt Henderson @matthen.com · 15/08/2026

Game of Life on Penrose tiles

413934