iiinova — where your digital self keeps evolving

this 9,076 character regex matches all 4,030 4 letter words in the Scrabble dictionary - and nothing else. Those words would add up to 16,120 characters total.

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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!)

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

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

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

Repeated subdivision of triangles by centroid- infinite zoom

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

another deep render, from filling the triangles

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

Repeatedly subdividing a triangle using its centroids

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

And here is how to make a parabola with sand

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

Real life demo (me in 2020)

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

How to make an ellipse, using sand and physics

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

Trying to forecast the future on a Galton board

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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?)

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

wait- why does the entropy go down?

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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

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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.

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

A cellular automaton from Minecraft crafting recipes

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Matt Henderson @matthen.com · 10/09/2026

Empirically the mean gap converges to 10, same as if each digit was uniform random. This is what you would expect if pi is normal, which isn’t proven

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Matt Henderson @matthen.com · 10/09/2026

Finding pi in e, and then e in pi

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

Plotting 8000 numbers from 0 to 1 on top of each other- is this a fractal? what shape are the parts that remain unfilled?

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

introducing a sqrt lifts more detail

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

building up the picture for e

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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.

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Matt Henderson @matthen.com · 08/09/2026

I originally shared this on some other website x.com/matthen2/sta...

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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

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

what if you like spending time in the middle of the road less than the edges?

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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!

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

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

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

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

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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

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

What would Voronoi cells look like?

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

How would the conic sections look in this universe?

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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?

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