@physbuzz.bsky.social
Why do paths through the Sierpiński triangle correspond to allowed sequences of moves in the Tower of Hanoi? Suppose we have 3 discs. Say (3,2,3) means "biggest disc on post 3, second biggest on post 2, third biggest on post 3". Suppose edges are allowed moves. We get this picture! (4/n)
Introducing G.R.A.C.E the Gardening Revival Assistive Component Environmentalist. The gardener robot in my upcoming game, Green Inc.
A Scottish audio company, famous for their turntables, once invented a CPU architecture. Their internal software kind of sucked. Somehow along the way, the company became convinced that the problem was that all Von Neumann-style computers were WRONG.
There is probably an easier way to get to this output than implementing a 3-component Reaction-Diffusion pattern. But it wouldn't feel the same...🤗
Behind the scenes with the man the myth the legend @yello.ooo (live in 10 on his channel twitch.tv/yellowberryhn )
A polar quad tree on top of a Poincaré disk model of hyperbolic space. Done by my Master's student Hunter v. Geffen, it enables acceleration of dimensionality reduction into hyperbolic space #MathSky. Details: ms-math-computer.science/publications... Quote post with something that is a circle. 🔵
Susan Goldstine@sgoldstine.bsky.social · last mo.Sure, I’ll play. Frieze Frame, a bead crochet piece I made quite a long time ago. 🧶 Quote post with something that is a circle. 🔵
I'm assembling a team for some "by your powers combined" shenanigans. I've already got people signed up for fire powers, water powers, and sun powers, but the "open canopy powers" and "clear forest floor powers" slots are harder to fill...
Who is this guy? What's he doing up there? What even is that pose? Get down from there.
wacca wednesday, but a bit different today... why is my wacca in pieces??? twitch.tv/yellowberryHN
yellowberryHN - Twitch
wacca wednesday?! | the yellow zone (178) | !discord
twitch.tv
i made a type-safe behavior tree library in godot for my toxic yuri mechagame DOSIMETER youtu.be/iNUBaHIKV78 #vtuber #gamedev #indiedev #godot
type-safe behavior trees in godot
YouTube video by exodrifter
youtube.com
"Today is Tuesday, and you know what that means? That means it's Wednesday." - @yello.ooo at 1am today
Gaussian mt. everest in the bottom right. I'm playing around and polishing up some old notes on normal distributions and Gaussian processes. Mathematica source code: www.wolframcloud.com/obj/f4a8f481... #mathematica #math #statistics #programming
Yesterday‘s pattern has me revisiting the same theme on the 9cube. Unlike yesterday's pattern, this link is not Brunnian.
You may have heard that the Banach-Tarski paradox is a consequence of the group of spatial rotations SO(3) having a subgroup that is free on two generators. But what does that look like? Answer: Roughly like this! kyleormsby.github.io/F2-in-SO3/ 1/n 🧮
![F₂ inside SO(3) ≅ ℝP³
Generators A = rotation by arccos(1/3) about x-axis, B = same about z-axis. Each reduced word w becomes a rotation in SO(3); we plot it as the point θn̂ in the ball of radius π, where θ ∈ [0, π] is the rotation angle and n̂ is its unit axis. Edges are true SO(3)-geodesics — some wrap through ∂B and reappear at the antipodal point (the ℝP³ identification).](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:ysaiuavm2f7d4th42c4valhw/bafkreie35fe4sayrokpquj7jpiaqegh6o6af7lm6fbmf5kvnx6b3jewsse)
Felt cute, quick selfie with the 649 self-avoiding walks on a square 4x4 lattice which start at the bottom left and leave through the top edge. For 5x5, there are 36368 such walks.
no ground loop noise :0 (out of practice and out of tune electric guitar, 1st take playing the easy half of 250 Miles by Radio Moscow) (Hi bezelea 💚)
Been practicing "Mais Quand?" by Erik Mongraine. Haven't learned the best part yet but if you haven't heard the song before you might not notice that I omitted it :P
You would NEVER catch me up at 4:30am numerically integrating the KPZ equation to draw stromatolites. Well... maybe. Mathematica source code: www.wolframcloud.com/obj/011068c9...
posting about linear algebra at 2:30am type beat (apologies to @yungbishop.bsky.social )
If you like that, you might like this challenge codegolf.stackexchange.com/q/214638/53884 based on OEIS sequence oeis.org/A337517 (the number of distinct resistances that can be produced from a circuit with exactly n unit resistors.)
Total resistance from unit resistors
This problem is based on, A337517, the most recent OEIS sequence with the keyword "nice". \$a(n)\$ is the number of distinct resistances that can be produced from a circuit with exactly ...
codegolf.stackexchange.com
