Matt Henderson
@matthen.com
Maths animations, dialogue systems research
Research @ PolyAI, previously Google, Apple, Reka. PhD Cambridge
Edinburgh, UK
Research @ PolyAI, previously Google, Apple, Reka. PhD Cambridge
Edinburgh, UK
Visualising the distribution of substrings in the genomes of different organisms.
Going up to depth eight by recursively splitting into quadrants, we get these fractal-like pictures.
Going up to depth eight by recursively splitting into quadrants, we get these fractal-like pictures.
October 3, 2026 at 9:38 AM
Visualising the distribution of substrings in the genomes of different organisms.
Going up to depth eight by recursively splitting into quadrants, we get these fractal-like pictures.
Going up to depth eight by recursively splitting into quadrants, we get these fractal-like pictures.
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.
October 2, 2026 at 12:49 PM
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.
Reposted by Matt Henderson
And a moving version.
September 26, 2026 at 12:15 PM
And a moving version.
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!)
Has the big dipper always pointed to Polaris?
Has Polaris always been the North star?
(nope!)
September 26, 2026 at 8:07 AM
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!)
Has the big dipper always pointed to Polaris?
Has Polaris always been the North star?
(nope!)
every (convex) quadrilateral is a square-
if you view it from the right perspective
if you view it from the right perspective
September 24, 2026 at 2:04 PM
every (convex) quadrilateral is a square-
if you view it from the right perspective
if you view it from the right perspective
Repeated subdivision of triangles by centroid- infinite zoom
September 23, 2026 at 4:54 PM
Repeated subdivision of triangles by centroid- infinite zoom
Repeatedly subdividing a triangle using its centroids
September 23, 2026 at 8:05 AM
Repeatedly subdividing a triangle using its centroids
Reposted by Matt Henderson
And here is how to make a parabola with sand
September 20, 2026 at 5:38 PM
And here is how to make a parabola with sand
How to make an ellipse, using sand and physics
September 20, 2026 at 1:56 PM
How to make an ellipse, using sand and physics
Fractal curve hybrids
September 17, 2026 at 12:46 PM
Fractal curve hybrids
Trying to forecast the future on a Galton board
September 16, 2026 at 4:59 PM
Trying to forecast the future on a Galton board
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?)
these balls start balanced, then end up all in the right chamber, balanced again, then all in the left chamber, before finally balancing
(how?)
September 15, 2026 at 1:35 PM
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?)
these balls start balanced, then end up all in the right chamber, balanced again, then all in the left chamber, before finally balancing
(how?)
wait- why does the entropy go down?
September 15, 2026 at 9:50 AM
wait- why does the entropy go down?
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
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
September 14, 2026 at 1:15 PM
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
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
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.
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.
September 13, 2026 at 5:38 PM
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.
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.
Let me measure it rather than guess.
September 13, 2026 at 4:49 PM
Let me measure it rather than guess.
A cellular automaton from Minecraft crafting recipes
September 11, 2026 at 8:44 AM
A cellular automaton from Minecraft crafting recipes
Reposted by Matt Henderson
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/
henderhead.mino.mobi/cf/
September 9, 2026 at 10:49 PM
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/
henderhead.mino.mobi/cf/
Drawing a picture from the continued fraction of a number.
The continued fraction terms drive a Fourier series.
The continued fraction terms drive a Fourier series.
September 9, 2026 at 6:56 AM
Drawing a picture from the continued fraction of a number.
The continued fraction terms drive a Fourier series.
The continued fraction terms drive a Fourier series.
A ring built from the Julia sets found along the main cardioid of the Mandelbrot set.
one of my favourite mathematical objects
one of my favourite mathematical objects
September 7, 2026 at 6:24 AM
A ring built from the Julia sets found along the main cardioid of the Mandelbrot set.
one of my favourite mathematical objects
one of my favourite mathematical objects