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Coloring the edges of a dodecahedron so that every face has one edge of each color turns out to be much easier than it seems at first.

/ is the best videogame adaptation of a videogame that doesn't exist.

I added some heirloom apples, cookies, and D&D spells to the dataset of pies to see if the neural net would make some more medieval-sounding pies. It worked a little too well.

Dreamed about set theory.

Except with a bunch of 'advisory' axioms.

Like, if you take a set outside and it gets rained on, make sure to dry it thoroughly before defining any sets of which it is a member or they'll both get mildewed.

This famous illustration is from Moses Harris’ 1760 book _The Natural System of Colours_.

Why is the label for yellow written backwards?

I oughta be able to use generating functions to handle it from there.

It turns out the number of paths on length n between opposite vertices of an octahedron is equal to the number of ways to sum n terms, each of which is 1,2,4, or 5, to make an odd multiple of 3. 😁

@cks I've been thinking for a while about switching back from MathJax to inclined images for the math formulas in my blog. Your recent post about having to make a special exception for the JavaScript was another push in that direction. Any thoughts?

This post about counting paths on polyhedra escaped prematurely from the lab last week, but now it's ready. Sadly Mastodon won't let me attach my pretty illustrations because they're SVG.

New math post on my blog: A puzzle about representing numbers as a sum of 3-smooth numbers

“To deal with hyper-planes in a 14-dimensional space, visualize a 3-D space and say 'fourteen' to yourself very loudly. Everyone does it.”


Three hamiltonian cycles on the dodecahedron:

Fact: If you think about this for sufficiently long, you officially become a combinatorialist.

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A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.

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