sibaku · @sibaku
10 followers · 44 posts · Server mas.to
bbqshoes · @bbqshoes
126 followers · 162 posts · Server mastodon.art
In The Early Morning Rain #TrippyThursdays #Fractal #JuliaSet #MathArt
#mathart #juliaset #fractal #trippythursdays
claude · @mathr
308 followers · 2965 posts · Server post.lurk.orghttps://mathr.co.uk/web/z2cz5.html
I wrote up some #math #maths #mathematics about properties of filled-in #JuliaSet #fractal for the #polynomial mapping $f_c(z) = z^2 + c z^5$, including visualization of its #MandelbrotSet analogue.
#math #maths #mathematics #juliaset #fractal #Polynomial #MandelbrotSet
Paige1🏳️⚧️ 🏳️🌈🔭📖🌹🌌 · @Paigethemiddleagedtransgirl1
77 followers · 719 posts · Server mastodon.lol
Paige2 🏳️⚧️ 🏳️🌈🔭📖🌹🌌 · @Paigethemiddleagedtransgirl2
25 followers · 642 posts · Server mastodon.world
Lika · @lika
24 followers · 2 posts · Server mathstodon.xyz
Decorating the workplace.
#complexfunction #juliaset #mandelbrotset #misiurewiczpoint #tanlei
#tanlei #misiurewiczpoint #MandelbrotSet #juliaset #complexfunction
bbqshoes · @bbqshoes
7 followers · 11 posts · Server mastodon.artAs above so below #PsychedelicSunday #Fractal #JuliaSet #AnimatedFractalZoom
#animatedfractalzoom #juliaset #fractal #PsychedelicSunday
claude · @mathr
287 followers · 2739 posts · Server post.lurk.orgsomeone emailed me about one of my #haskell projects from 2010 so I managed to get it working again.
https://hackage.haskell.org/package/mandulia-0.8.0.1
ghc-9.4.2 needs --allow-newer=text for OpenGLRaw to build, but apart from that it should work fine with ghc-8.0.2+ (and maybe earlier versions too). tested on debian testing (bookworm, not final) with freeglut3-dev installed.
quick start:
run `mandulia main`
press "a" to enter attract mode
press "F11" to toggle full screen
press "ESC" to quit
#MandelbrotSet #juliaset #fractals #haskell
claude · @mathr
288 followers · 2739 posts · Server post.lurk.org
Figured out how to plot wakes implicitly.
Given a wake with parameter ray angles $s_-, s_+$, for each pixel $c$ in the image trace the dynamic rays at those angles towards the Julia set: if and only if they land together, then $c$ is in the wake.
An application of Theorem 2.5 from https://arxiv.org/abs/1709.09869 "A survey on MLC, Rigidity and related topics" by Anna Miriam Benini.
Previously I had been tracing the two parameter rays into a polygonal boundary and filling that using rasterization, to do: benchmark and compare the two methods in various scenarios.
#MandelbrotSet #JuliaSet #fractal #maths #ComplexDynamics #ExternalRays
#externalrays #ComplexDynamics #maths #fractal #juliaset #MandelbrotSet
· @SwindlerOfInsanity
86 followers · 2101 posts · Server mastodon.social"Geodes" - 3D Julia set fractals
https://www.youtube.com/watch?v=rQ2bnU4dkso
Stunning 3d animation of the #JuliaSet by #InigoQuilez.
#InigoQuilez #glslshaders #juliaset
claude · @mathr
288 followers · 2739 posts · Server post.lurk.orgAll #JuliaSet at once, trustworthily calculated with #IntervalArithmetic (exterior -> transparent, interior -> blue, unknown -> orange). #4D #voxel grid randomly oriented, animated rotation perpendicular to the screen.
12m20s on a single core to calculate the 4D voxel grid at level 8 (2^8 along each edge, total 1GB data with 2 bits per cell).
5m07s real / 67m40s CPU stepping rays through the voxels for #volumetric #rendering to make the 120 frame animation.
Maybe it would render faster on a GPU.
#juliaset #intervalarithmetic #4d #voxel #volumetric #rendering