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 🧮

Pigeon colormap kind of day

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 💚)

This is the coolest thing.

some more beauty shots of my #puzzlegame :) #godotengine #gamedev

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...

me at the function

@pooltoy.live 👍

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.)

If you're given only twelve 1 ohm resistors but you need a circuit with an equivalent resistance of pi (approximated as closely as possible), and you have to use all of the resistors (no shorting or leaving them out), here the ways to get 22/7 ohms (which is the best you can do). #math #circuits

i made a new video game with my friends in 2 weeks its free and includes a musical number about doing tax fraud in space badcop.itch.io/caverim-2

Twitchcon recap: bridge

Brain bug of the last week: I have not seen one person say "Silent Hill Forte" in the wild. I've googled it and seen people saying it there, but that doesn't count. Thank you for your attention.

Introducing the Joel Box, just about done. Little motorized Joel I'll hopefully be able to affix on my TwitchCon badge. I'll also have little Joel pins for anyone that's finds me there! #3DPrinting #TwitchCon

I ordered a couple of small metal prints of some of my sculptures from Craftcloud (IN3DTEC was the printer). Spendy (and don’t forget the extra $30 in tariffs!), but they came out looking pretty darn spectacular! #mathart

Anyone post #math challenges on here? This integral (said to be due to Joseph Bertrand) posted by ChetuyaGamma on the other site hooked me. (I think integrating via contour is consider the coward's way out, but I like the wiggly lines okay?)

Had to pause the latest #3blue1brown video after the 10 seconds to try to solve it myself. Given an n cube, how many unique connected partial n cubes can we construct out of (n-k) faces? (This is rhetorical, I'm trying it and will try to bumble my way through the computations)

The wizard will now install your software

Wait you're telling me a math mathed this math? (SICP problem 3.69 solution) physbuzz.github.io/sicp/ch3/not...

Hey um anyone have the largest prime factor of 67^67-1 laying around?

So in today's news: something something radioactive shrimp?

Twitch affiliate anniversary coming up on Friday. 8hrs of math? I'm feeling combinatorics + analytic comb. + comb. algorithms (including absolutely stupid stuff like renting out a 4x5090 server and running a brute force n-queens enumeration algorithm on it).

i think i never posted about this here amidst the chaos of traveling but a month ago i saw the extremely rare vancouver island marmot (marmota vancouverensis) in what i think was easily the most amazing wildlife encounter of my life

I heard a line from an antacid commercial and I can't get it out of my head: "Everyone eats sandwiches and is fine, but you're not everyone."

I realized I didn't have my website blocker disabled and I ended up getting distracted in a manner akin to a dog realizing the front door is open and bolting for it.

Thanks @countgrimhart.bsky.social for the amazing art! Cooking up a character for some stream and video projects (she got bored in the cultist lobby and started scribbling e-γ scattering formulas on her cloak. They didn't have any spares so now she's stuck with it...)

Discussing fractals in Mathematica on Twitch in 20 minutes! With Slim from AcademyOfUselessIdeas. We're winging it  No clue if we're going to end up on IFSes or Mandelbrot or stochastic processes or box counting dimension or [...] twitch.tv/physbuzz and drop twitch.tv/academyofuse... a follow!

I have a lot of people to thank for my journey, but I have to say the minimal polynomials of cos(n pi/m) made me into the man I am today. Well no, but can you imagine? (the highlighted one came up in a problem today while solving for 1/sin(x)-1/sin(2x)=1/sin(4x))

One of the more obtuse ways to calculate Fibonacci numbers. My determinant formula circled in green gives rise to the recursion r -> 1+1/r. The fixed point r=1+1/r is solved by r=phi, the golden ratio

At the start of October 2024, I agreed to rework an introductory real analysis manuscript for CRC Press. Yesterday I delivered the manuscript. Details will follow in coming weeks as they become available. #MathSky #ITeachMath

Monday morning fit check.

Friendly reminder not to play any new games until after New Years - they won't show up in your next Steam Year In Review so you're just throwing away your KPIs for nothing.

Gifs don't work right? smh my head, it works on mathstodon.xyz/@davidphys1/...

I love this one! The most fun I have with it is: go to the "ratchet and pawl" preset, let it run for a tiny bit (under five seconds if not less) and then press "reverse". There's no recording being played backwards, instead the individual velocities of each ball have been reversed!

Using simulated annealing to move towards a constant density configuration in an SPH-like setup. This particular setup isn't useful, but I love how it has a random terraced texture look.

Hello bluesky! I forgot about you, but I've still been making cool things. community.wolfram.com/groups/-/m/t...

I also posted a question to p . se! How do you interpret this weird "energy per particle" u=C+k log(rho) which I use in my simulation? physics.stackexchange.com/q/791217/230...

First hydrodynamics (SPH) simulation! It's just a "dumb" first pass to prove that I can get stuff like energy conservation to work. The obvious next step is to scale up to millions of particles instead of a thousand or so! www.khanacademy.org/computer-pro...