Some hexagonal #turingdrawings from my #cellularautomata simulator-thingy I'm working on.
Up next: anything that doesn't involve clicking restart 500 times to discover those that aren't a straight line.
@henryseg Interesting idea! It would probably help to some extent, but eventually it would get noisy again. The noise seems to get worse with large \(K\)
If you're into chaos, you might enjoy this visualization of the standard map
\begin{align}
p_{n+1} = p_n + K \sin \theta_n, \\
\theta_{n+1} = \theta_n + p_{n+1},
\end{align}
with varying \(K\). It's pretty hypnotic https://www.shadertoy.com/view/WdjcW3
@tpfto Thanks! Your posts have helped me many times over the years
Heyo fedi! I‘m lampy, an appreciator of cozy pixel art n things. Making games too, sometimes. Most of the stuff I do nowadays is pixely #lowpoly pieces. #introductions #artistsofftwitter
As it turns out, there is a better approach using Clenshaw's algorithm! A review of different methods is given in arXiv:1410.1748 [physics.chem-ph]. Now I could get up to high values of \(\ell\) and \(m\) without everything blowing up! From the ALPs we can then simply obtain the SHs as
\[
Y_\ell^m(\theta, \phi) = \sqrt{\frac{(2 \ell + 1) (\ell - m)!}{4\pi (\ell + m)!}} P_\ell^m (\cos \theta) e^{i m \phi}.
\]
The final code can be viewed at https://www.shadertoy.com/view/3dKGWG, which borrows from iq's shader
In 2019, I wanted have spherical harmonics \(Y_\ell^m\) in shader, solved in real time instead of from precomputed functions. After looking at some papers, one approach was to solve them using the hypergeometric function, which gives \(P_\ell^m\) as
\[
P_\ell^m(x) = \frac{1}{\Gamma(1-m)} \frac{(1+z)^{m/2}}{(1-z)^{m/2}} {_2F_1}\left( -n, n + 1, 1-m, \frac{1-x}{2} \right).
\]
This requires computing a series consisting of many factorials, which is slow and results in precision problems
Here’s my #intro
I’m a mechanical engineer by trade, and designed many components for various Macs over the last decade. I recently quit my job in order to return to school and obtain a PhD in math.
I find geometry fascinating and make Rubik’s-cube-like puzzles as a hobby. Last year when trying to answer some open questions regarding these puzzles, I was introduced to #math concepts I had never been exposed to. During that exploration, I simply fell in love and decided to dive in head first.
Here we see Hickson Compact Group 88, a quartet of galaxies that are surprisingly chilled out given how crowded their environment has become!
Usually these galaxy interactions are stressful events, and here we see some evidence of galaxy evolution: the two northern galaxies are flinging away some of their older (redder) stars. But the two southern galaxies seem to be quite undisturbed!
Oh man oh man oh man oh man -- the Ingenuity Helicopter on #Mars swung over and took a view of the backshell and parachute used to land Perseverance on Mars! It is so cool what we can get up to when we have a little drone accompanying our rovers. #JPL #Mars #Astronomy #Perseverance #Space #Science
Raw image: https://mars.nasa.gov/mars2020/multimedia/raw-images/HSF_0414_0703689952_044ECM_N0260001HELI00005_000085J
Once again I've participated in the Paint Over Fast Competition at Revision 2022. Skullship Robo Repair (inspired by a chaos picture) was created within less than 24 h including sleep and breaks. It won 2nd place. https://www.deviantart.com/sylviaritter/art/Skullship-Robo-Repair-913428468 #art #mastoart #paintover #revision #demoscene
I've been working on a new series of 3D fractal shapes intended for 3D printing and tabletop gaming. These are shapes that remind me of natural (or alien) terrain.
I find and extract the 3D meshes using Mandelbulb 3D and process them in ZBrush.
Most of these I've already test-printed, but I still need decent photos of the results.
Maybe I should do a small #introduction
Hello everyone! I'm Ron(i) and go by Roninkoi in most places. As a kid I started off making games for competitions such as #LDJAM, but these days I'm more into the technical side of things. Graphics programming and #creativecoding is my main interest, especially #demoscene and #retrocomputing. IRL I'm a computational #physics grad student working as a part-time code monkey
Is This Your Card?
Released in the 4KB Executable Graphics compo at Revision 2022.
A still image rendered by a 4-kilobyte executable.
Download: https://demozoo.org/graphics/307508/
I make games sometimes! Graphics programming enthusiast. Physics grad student. Finnish dragon 🐲🇫🇮🐉