Someone posted a gif of this effect on birdsite and I wanted to understand it so I've built it as a space-warping raymarcher.

Its some lovely maths that I think I *mostly* understand now:

A problem shared is equal to the sum of the problems on the other two sides.

no idea why i do these things

For some reason I have built Conway's Game of Life in Baba is You.

@11011110 @andrewt fun fact. there's an exact formula for how many x,y satisfy xΒ²+yΒ²=n. it's 4 times (the number of factors of n of the form 4k+1 - the number of factors of n of the form 4k+3). another fun fact: this ties into the average being Ο through the Taylor expansion of arctan(1)=Ο/4

My latest bloggy thing:

solipsys.co.uk/new/TheSideways

As always, comments, thoughts, criticisms, and feedback, all welcome.

Have to say that this "one blog post per week" is a brutal schedule.

Also, here's a maths puzzle for Ο-day:

Adding the brackets from this Alex Bellos column theguardian.com/science/2019/m to the numbers 1, 2, 3, 4 β

[1, 2] β 12

β¦we can make any number except 2413, and which other?

This is a nice little trick but a bafflingly poor article. How can anyone write an entire article about a single tweet without having understood the tweet?
mirror.co.uk/news/weird-news/m

This would make a strong contender in the MathsJam bake off.

Also v good doggo in VR, which is a plus
youtu.be/TCwQweljegc

Further evidence the tiny L-P is a mathematician, at bathtime last night:

* holding a bottle full of water *
"Can you put some water in the jug, please?"
* stands bottle upright in jug, spilling none *

Must learn to speak more precisely __to my 1 year old__

Try it for yourself at michaelwoodard.net/hypVR-Ray/, it even works on phones!

Hereβs a video on simulating a non-euclidean space in virtual reality with ray marching. This project is joint work with Michael Woodard and Roice Nelson. youtu.be/ivHG4AOkhYA

Made a snowdecahedron. Not as nice as some people on the web, but still, I deserve a beer.

This embroidered computer is lovely. I think it works by the gold coils over the large beads being magnetically drawn to one side or the other of the base β and therefore making different connections β depending on whether or not a current is flowing through them.

ireneposch.net/the-embroidered

This is lovely, an interactive demo of Fourier transforms

jezzamon.com/fourier

good morning to all the very smart engineers over at google

This is so cool: a 3D star map of word meanings.
Words with similar meanings are closer together and joined by edges.
anvaka.github.io/pm/#/galaxy/w

Can you even have a division of axiom?

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