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noneuclideandreamer, to physics German
@noneuclideandreamer@mathstodon.xyz avatar

So I'm trying to solve the heat equation numerically. (Here with 2 sources)
But why doesn't it spread in a circle?

I basically do

f(x,y,t+1) = f(x,y,t)+c(f(x+1,y,t)+f(x-1,y,t)-2f(x,y,t))
+c(f(x,y+1,t)+f(x,y-1,t)-2f(x,y,t))

which is the numerical heat equation, right? Do I just need to finetune the c? Or maybe it's not actually a problem and my coloring takes small changes too seriously, after a while it looks nice...
(I already fixed the central horizontal distortion?)

video/mp4

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@tslumley nope I used L2-metric.

spiralganglion, to random
@spiralganglion@mastodon.social avatar

I'm going to be in the (virtual) audience for this one. See you there?
https://toolsforthought.social/@boris/112192422178822491

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@TodePond @spiralganglion wait, am I in the wrong app? 🤔

noneuclideandreamer, to random German
@noneuclideandreamer@mathstodon.xyz avatar

High Resolution Render for Patrons of Level Square and up!

Truncated Order-5 Cubic Honeycomb
12800x7200 pixels

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

Zooming in...
1:4 Resolution

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

Lower Corner with my Ambigram Signature
1:2 Resolution

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

... And at full Resolution!

graveolensa, to random
@graveolensa@mathstodon.xyz avatar

(a little under the weather at the moment)

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@graveolensa 🫖🍵

noneuclideandreamer, to math
@noneuclideandreamer@mathstodon.xyz avatar
noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@ngons 🌸

TodePond, to random
@TodePond@mas.to avatar
noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@TodePond Good luck we're not "he"s and get that Moment of bliss! 🤫

mattmcirvin, to random
@mattmcirvin@mathstodon.xyz avatar

One of the popular exhibits in elementary-school science fairs, especially among the younger grades, was the baking-soda-and-vinegar volcano. But I always kind of wondered what the point of it was, because though it's a cool chemical reaction, volcanoes don't work that way, so it's not as if it's demonstrating anything about actual volcanoes.

I suspect, though, that the baking-soda-and-vinegar volcano is just a kid-safe version of a terrifying demo Humphry Davy did to demonstrate his (incorrect) theory of how volcanoes actually did work. And his used water and potassium! I don't think I'd want to be sitting in the front rows for this one.

https://www.youtube.com/watch?v=nxRHQ1xfnWc

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@mattmcirvin I've realized a while back that Verne died in the year Special Relativiy was born. What could've been...

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar
noneuclideandreamer, to math
@noneuclideandreamer@mathstodon.xyz avatar
noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@tonwood ... Maybe? It's the truncation of a Cube - Square Tiling Honeycomb.

I have Trouble finding the names for paracompact Honeycombs....

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@tonwood cool!
I seem to do Honeycombs differently than most, starting with the vertex figure.
I might try to implement operations like "rectify" though...

Well my toot isn't "deutsch", so ... 😇

noneuclideandreamer, to genart
@noneuclideandreamer@mathstodon.xyz avatar
noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@ngons 🤗

TodePond, to random
@TodePond@mas.to avatar

twitter is losing their mind over this post again

crazy to see how hateful people can get if you criticise their little command line

https://www.todepond.com/wikiblogarden/better-computing/just/

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@TodePond Nice punchline!

gregeganSF, to random
@gregeganSF@mathstodon.xyz avatar

“AI will soon be smarter than any human!!!!”

The formula this AI comes up with is negative for n=1,2,3 and 4. The correct answer might take a bit of work to figure out from scratch, but anyone who understood the problem could do a web search and find:

https://en.wikipedia.org/wiki/Dividing_a_circle_into_areas

noneuclideandreamer,
@noneuclideandreamer@mathstodon.xyz avatar

@gregeganSF I'd say a ngon has n edges. In Euclidean Space the two edges of the digon coincide though.
The monogon in spherical geometry could be a great circle with one point being the vertex. In Euclidean Space it could be a ray?

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