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Microfractal<a href="https://mathstodon.xyz/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener" target="_blank">#FractalFriday</a> (It's already Saturday)Elephant valley of the Mobius Mandelbrot set.Formula: \(z_{n+1}=f(z_n^2+c,1)\)where \(f(z, a)\) is defined as (C-like pseudocode):Complex f(Complex z, Real a) { Real dist = abs(re(z)) - a; if (re(z) > a) { re(z) = -a + dist; im(z) = -im(z); } else if (re(z) < -a) { re(z) = a - dist; im(z) = -im(z); } return z; }Coloring is done by using three very similar colormaps, mapped to triangle inequality average values. The final color is produced by interpolating between these three colors using the so called "atom domains".Generated using my GLSL Shadertoy fractal generator: <a href="https://www.shadertoy.com/view/33sSRf" rel="nofollow noopener" translate="no" target="_blank">https://www.shadertoy.com/view/33sSRf</a><a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#Fractal</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener" target="_blank">#Art</a> <a href="https://mathstodon.xyz/tags/Fractalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#Fractalart</a> <a href="https://mathstodon.xyz/tags/Mathart" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathart</a> <a href="https://mathstodon.xyz/tags/GLSL" class="mention hashtag" rel="nofollow noopener" target="_blank">#GLSL</a> <a href="https://mathstodon.xyz/tags/Shadertoy" class="mention hashtag" rel="nofollow noopener" target="_blank">#Shadertoy</a>

Marquis de GeekHere's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#graphics</a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#JavaScript</a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#development</a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> 1 of 2 - obsfuscated and optimised to zoom in real-time, even back in the day! <a href="https://www.sgxengine.com/examples/mandelbrot/html5/mandel.htm" rel="nofollow noopener" translate="no" target="_blank">https://www.sgxengine.com/examples/mandelbrot/html5/mandel.htm</a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sgx</a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sfx</a>

MicrofractalI'm not lying. It's not possible! but...<a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> <a href="https://mathstodon.xyz/tags/GLSL" class="mention hashtag" rel="nofollow noopener" target="_blank">#GLSL</a> <a href="https://mathstodon.xyz/tags/Shadertoy" class="mention hashtag" rel="nofollow noopener" target="_blank">#Shadertoy</a> <a href="https://mathstodon.xyz/tags/Deepzoom" class="mention hashtag" rel="nofollow noopener" target="_blank">#Deepzoom</a>

Univers logique<a href="https://mastodon.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://mastodon.social/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a>

Marquis de GeekICYMI,. Here's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#graphics</a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#JavaScript</a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#development</a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> 2 of 2 - using <a href="https://ohai.social/tags/WebWorkers" class="mention hashtag" rel="nofollow noopener" target="_blank">#WebWorkers</a> to prove that it's not -always- a benefit <a href="https://www.marquisdegeek.com/mandelworkers" rel="nofollow noopener" translate="no" target="_blank">https://www.marquisdegeek.com/mandelworkers</a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sgx</a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sfx</a>

Marquis de GeekHere's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#graphics</a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#JavaScript</a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#development</a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> 2 of 2 - using <a href="https://ohai.social/tags/WebWorkers" class="mention hashtag" rel="nofollow noopener" target="_blank">#WebWorkers</a> to prove that it's not -always- a benefit <a href="https://www.marquisdegeek.com/mandelworkers" rel="nofollow noopener" translate="no" target="_blank">https://www.marquisdegeek.com/mandelworkers</a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sgx</a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sfx</a>

Marquis de GeekICYMI Here's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#graphics</a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#JavaScript</a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#development</a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> 1 of 2 - obsfuscated and optimised to zoom in real-time, even back in the day! <a href="https://www.sgxengine.com/examples/mandelbrot/html5/mandel.htm" rel="nofollow noopener" translate="no" target="_blank">https://www.sgxengine.com/examples/mandelbrot/html5/mandel.htm</a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sgx</a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#sfx</a>

Radio Free TrumpistanI used to follow 2 Mandelbrot bots and I haven't seen but one in the last several months. I even used teh Google machine to try to locate @#mandelbot and no dice. I'm wondering if it completely disappeared due to the closing of botsin.space and simply didn't resurface anywhere else. Bummer. <a href="https://friendica.rogueproject.org/search?tag=Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> <a href="https://friendica.rogueproject.org/search?tag=fractals" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractals</a> <a href="https://friendica.rogueproject.org/search?tag=fractalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractalart</a>

vxoJust making oddly delicious looking fractals. <a href="https://digipres.club/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://digipres.club/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a>

Blue DeviL // SCTA very nice writeup about creating mandelbrot in x86 assembly by Claude.CC: <a href="https://fedi.simonwillison.net/@simon" class="u-url mention" rel="nofollow noopener" target="_blank">@simon</a> <a href="https://simonwillison.net/2025/Jul/2/mandelbrot-in-x86-assembly-by-claude/" rel="nofollow noopener" translate="no" target="_blank">https://simonwillison.net/2025/Jul/2/mandelbrot-in-x86-assembly-by-claude/</a><a href="https://infosec.exchange/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://infosec.exchange/tags/assembly" class="mention hashtag" rel="nofollow noopener" target="_blank">#assembly</a> <a href="https://infosec.exchange/tags/x86_64" class="mention hashtag" rel="nofollow noopener" target="_blank">#x86_64</a> <a href="https://infosec.exchange/tags/x86assembly" class="mention hashtag" rel="nofollow noopener" target="_blank">#x86assembly</a> <a href="https://infosec.exchange/tags/Claude" class="mention hashtag" rel="nofollow noopener" target="_blank">#Claude</a>

Oscar CunninghamI made a Mandelbrot & Julia set explorer! <a href="https://codepen.io/Oscar_Cunningham/full/ZYGZZVW" rel="nofollow noopener" translate="no" target="_blank">https://codepen.io/Oscar_Cunningham/full/ZYGZZVW</a>I was watching <a href="https://mathstodon.xyz/@standupmaths" class="u-url mention" rel="nofollow noopener" target="_blank">@standupmaths</a>'s video <a href="https://www.youtube.com/watch?v=0OP9guFmWfs" rel="nofollow noopener" translate="no" target="_blank">https://www.youtube.com/watch?v=0OP9guFmWfs</a> about Mandelbrot and Julia sets, and I could see he was clicking around in <a href="https://mathstodon.xyz/@christianp" class="u-url mention" rel="nofollow noopener" target="_blank">@christianp</a>'s app looking at the Julia set corresponding to each point in the Mandelbrot set. But I wanted to also be able to click around in the Julia set and see how the Mandelbrot set changed.Really both the Mandelbrot and Julia sets are two dimensional cross sections of a four dimensional fractal. A point (x,y,a,b) is in this set if the function z ↦ z²+(x+yi) doesn't diverge when iterated starting at a+bi. My app lets you see the slices of (x,y) for fixed a and b, and also (a,b) for fixed x and y.I don't write JavaScript, so all code is bad and/or stolen.<a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#Math</a> <a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathematics</a> <a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> <a href="https://mathstodon.xyz/tags/MandelbrotSet" class="mention hashtag" rel="nofollow noopener" target="_blank">#MandelbrotSet</a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#Fractal</a>

Érico Andrei 🇧🇷 :plone:Desenho de 2025-06-29: "Mandelbrot 01" <a href="https://pynews.com.br/tags/desenhandocomcodigo" class="mention hashtag" rel="nofollow noopener" target="_blank">#desenhandocomcodigo</a> <a href="https://pynews.com.br/tags/arte" class="mention hashtag" rel="nofollow noopener" target="_blank">#arte</a> <a href="https://pynews.com.br/tags/processing" class="mention hashtag" rel="nofollow noopener" target="_blank">#processing</a> <a href="https://pynews.com.br/tags/Sketch" class="mention hashtag" rel="nofollow noopener" target="_blank">#Sketch</a> <a href="https://pynews.com.br/tags/py5" class="mention hashtag" rel="nofollow noopener" target="_blank">#py5</a> <a href="https://pynews.com.br/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#CreativeCoding</a> <a href="https://pynews.com.br/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> <a href="https://pynews.com.br/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://ericof.com/en/sketches/2025-06-29?mtm_campaign=SN&mtm_kwd=pynews" rel="nofollow noopener" translate="no" target="_blank">https://ericof.com/en/sketches/2025-06-29?mtm_campaign=SN&mtm_kwd=pynews</a>

Jean-Baptiste "JBQ" QuéruWhy would I want an 8k display for my computer?Well, to display ultra-high-res <a href="https://floss.social/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> images, of course. <a href="https://floss.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> and <a href="https://floss.social/tags/Julia" class="mention hashtag" rel="nofollow noopener" target="_blank">#Julia</a> sets look so pretty.Oh, and also for <a href="https://floss.social/tags/photography" class="mention hashtag" rel="nofollow noopener" target="_blank">#photography</a> because that'd be a great match for the resolution of my good camera.(I'd want a 75-inch, thank you very much!)

Mille e Una AvventuraRecuperiamo un mio vecchio programma del 1993 per MS-DOS realizzato con il Turbo C++ della Borland: il classico insieme di Mandelbrot in grafica VGA a 16 colori. Questa volta per il recupero ho usato i dischetti originali. <a href="https://mastodon.uno/tags/clanguage" class="mention hashtag" rel="nofollow noopener" target="_blank">#clanguage</a> <a href="https://mastodon.uno/tags/programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#programming</a> <a href="https://mastodon.uno/tags/borland" class="mention hashtag" rel="nofollow noopener" target="_blank">#borland</a> <a href="https://mastodon.uno/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://www.youtube.com/watch?v=Bp5h-AMeRfQ" rel="nofollow noopener" translate="no" target="_blank">https://www.youtube.com/watch?v=Bp5h-AMeRfQ</a>

root42New video for Patrons (even free tier): Let's Code MS DOS 0x2F: Mandelbrot Fractal<a href="https://www.patreon.com/posts/lets-code-ms-dos-131758170?utm_medium=clipboard_copy&utm_source=copyLink&utm_campaign=postshare_creator&utm_content=join_link" rel="nofollow noopener" translate="no" target="_blank">https://www.patreon.com/posts/lets-code-ms-dos-131758170?utm_medium=clipboard_copy&utm_source=copyLink&utm_campaign=postshare_creator&utm_content=join_link</a> <a href="https://chaos.social/tags/letscode" class="mention hashtag" rel="nofollow noopener" target="_blank">#letscode</a> <a href="https://chaos.social/tags/msdos" class="mention hashtag" rel="nofollow noopener" target="_blank">#msdos</a> <a href="https://chaos.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://chaos.social/tags/retrocomputing" class="mention hashtag" rel="nofollow noopener" target="_blank">#retrocomputing</a>

MicrofractalWavesMandelbrot set deep zoom, exponential mapped.Coordinates:X: -0.744033259370087676792393294794996170098405423509202858828018362736359875611067024815030266340822148798854892606120087675414719308558729395069156295109834022154773268883686027121547045665771055311191726579865822306139890000890097414112909Y: 0.0989840577772712209111477244548225883613965629986649162521468688648576786679506467154805553017452566026633195562560300596030280994526284287528746237588901097460901908918502319067407247982314031469949142811884466432684555658875305586357918Size: 8e-201<a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#Fractal</a> <a href="https://mathstodon.xyz/tags/Mathart" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mathart</a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener" target="_blank">#Art</a>

bbqshoes<a href="https://mastodon.art/tags/Monday" class="mention hashtag" rel="nofollow noopener" target="_blank">#Monday</a> <a href="https://mastodon.art/tags/Mood" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mood</a> <a href="https://mastodon.art/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> <a href="https://mastodon.art/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#Math</a>

Orhun Parmaksız 👾The terminal is so satisfying...🌌 **fractouille** — Fractal explorer for the terminal!🌀 Explore different Mandelbrot sets with different styles🦀 Written in Rust & built with <a href="https://fosstodon.org/@ratatui_rs" class="u-url mention" rel="nofollow noopener" target="_blank">@ratatui_rs</a>⭐ GitHub: <a href="https://github.com/PottierLoic/Fractouille" rel="nofollow noopener" translate="no" target="_blank">https://github.com/PottierLoic/Fractouille</a><a href="https://fosstodon.org/tags/rustlang" class="mention hashtag" rel="nofollow noopener" target="_blank">#rustlang</a> <a href="https://fosstodon.org/tags/ratatui" class="mention hashtag" rel="nofollow noopener" target="_blank">#ratatui</a> <a href="https://fosstodon.org/tags/tui" class="mention hashtag" rel="nofollow noopener" target="_blank">#tui</a> <a href="https://fosstodon.org/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> <a href="https://fosstodon.org/tags/explorer" class="mention hashtag" rel="nofollow noopener" target="_blank">#explorer</a> <a href="https://fosstodon.org/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://fosstodon.org/tags/terminal" class="mention hashtag" rel="nofollow noopener" target="_blank">#terminal</a>

MicrofractalPositive side effectsFormula: Mandelbrot set: \(z_{n+1}=z_n^2+c\)Coordinates: x: -1.6739453100154959021860346787623203923898301362 y: -0.0000019045465383903616127731495284521830271537784697 size: 1.05e-30<a href="https://mathstodon.xyz/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> <a href="https://mathstodon.xyz/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathart</a>

Solar PhasingBonjour, Good Morning! :0)State of Purple (Fractals) <a href="https://imgur.com/gallery/state-of-purple-fractals-y9GFe4E" rel="nofollow noopener" translate="no" target="_blank">https://imgur.com/gallery/state-of-purple-fractals-y9GFe4E</a><a href="https://mastodon.social/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> <a href="https://mastodon.social/tags/fractals" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractals</a> <a href="https://mastodon.social/tags/fractalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractalart</a> <a href="https://mastodon.social/tags/digitalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#digitalart</a> <a href="https://mastodon.social/tags/graphicalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#graphicalart</a> <a href="https://mastodon.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#mandelbrot</a> <a href="https://mastodon.social/tags/julia" class="mention hashtag" rel="nofollow noopener" target="_blank">#julia</a> <a href="https://mastodon.social/tags/renderer" class="mention hashtag" rel="nofollow noopener" target="_blank">#renderer</a> <a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://mastodon.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#mathematics</a>

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