Meru

Are you doing anything specific with the tuning system of your pitches?

unless you're using a p-adic absolute value, in which case the "height" between numbers comes from how much of a prime is contained in their distance

Maybe leaving the Democratic party, not showing up to vote for weeks, only showing up to vote *against* the Democrats maintaining control of the NLRB (vote failed 48-52, her and Manchin are the 2), and screwing over the American working class in the process played some part.

One thing thing “Geometry of Schemes” does is scatter problems throughout the text instead of at the end. This makes the learning process feel really active. The Gouvêa “p-adic Numbers” book does this too and no surprise is another fantastic read.

It’s very low level (doesn’t get to schemes) but if you’ve never seen the subject before it’s a fantastic book. If you want a fun, readable follow-up, “The Geometry of Schemes” is very nice, written as if someone is teaching you

All the best math textbooks are written in a way that makes them enjoyable to read, not just spitting ideas at you (Miles Reid’s “Undergraduate Algebraic Geometry” is a good example of good math writing)

I like universal objects, and as an educator the idea that *restricting* the permutation group often *adds* a lot of interesting combinatorial structure. I think that top down perspective is new for a lot of people and leads to cool pictures too (like going from symmetric to dihedral groups)

nowadays I mostly do stuff with Lie theory and Vertex Algebras, although some beautiful combinatorics shows up attached to the characters of these things (Monstrous Moonshine the classic example)

I'm not trying to yawn at it, just give people reading a possible rabbit hole to follow. The Catalan Numbers were my gateway to getting into combinatorics, there's so many pretty pictures you can draw.

honestly don't recognize this one, off the top of my head looks like it follows 3^n - n^2 (caught this because 18 = 27 - 9, and it fits w/ the other numbers)

These are just factorials, much more fun sequence would be say the Catalan Numbers. Feel like my sequence tierlist is based on how fun the object you can count with it is. Permutations are so general; they're like the marble from which more interesting sequences are cut.

V good look

In a fight, right?

I'm 6'1 please tell me what you learn

Fantastic work Mochi

For me TTRPGs are more about building characters and a story than gameplay mechanics. The mechanics feel like they're there to add stakes; you can't just do whatever you want, but at the end of the day the fun is sharing a narrative w/ friends.

bird

All your favorite bendy shapes are topological spaces (the topological map, a “continuous function”, is how things can deform without changing the topology). But topologies can also be very abstract, like the prime ideals of a ring (Zariski topology) or a Boolean logic.

A topology is a way to track how "close" things are without needing to care about actual distances. Think of a cup made of clay with two dots next to each other drawn on it. If you bend and squish the cup, the two dots still stay close as the shape warps to a doughnut. So the topology stays the same

I have raised chickens. Space is definitely a big issue, and upfront cost to get the coop, but in terms of money/care they were pretty easy to take care of. Very fun to have around too. Only reason I don't anymore is because I had to move.

A doodle I for a musical tuning system Erv Wilson called meta-pelog. Take the sequence a_n = a_{n-1} + a_{n-3} and the limit of the ratio of terms, then use this as a frequency ratio to build a circle. This forms 5, 7 and 9-note MOS scales, and is approximated very closely in 29EDO (a subset of 58!)

58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone YouTube video by Cam Taylor

Here is what I could find online; maybe I will write something in (a subset of) 58 tomorrow. I often improvise in (subsets of) 58, so I can't point to anything that still exists. I lack an instrument that lets me fluidly play with the whole set.

Want to be active here, so here's a couple simple harmonic lattices. The way the first 17 harmonics show up in the circle of fifths in 46EDO and 58EDO. Both of these are really pretty to me! They're both para-Pythagorean, so four 3/2s give a 14/11. Everything's a lil sharp in 58, which I love.

how are you playing the strings like that? I though you just strum it with your mouse?