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#mandelbrot

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Blake Patterson<p><span class="h-card" translate="no"><a href="https://bitbang.social/@vaelen" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>vaelen</span></a></span> I don't think this Applesoft BASIC effort from this past weekend's INIT HELLO Apple II conference outdid you, I must say. :-) <a href="https://oldbytes.space/tags/hattip" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>hattip</span></a> </p><p><a href="https://www.flickr.com/photos/blakespot/54689657478/in/album-72177720328016203" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">flickr.com/photos/blakespot/54</span><span class="invisible">689657478/in/album-72177720328016203</span></a></p><p><a href="https://oldbytes.space/tags/INITHELLO" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>INITHELLO</span></a> <a href="https://oldbytes.space/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a> <a href="https://oldbytes.space/tags/mac" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mac</span></a> <a href="https://oldbytes.space/tags/AppleII" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>AppleII</span></a></p>
Andrew Young<p>Updated my mandelbrot app to display in 256 colors by default and switched it to use the Classic Mac color palette. When you run xmandelbrot you can now pass it a number from 1-256 to tell it how many iterations (and thus how many colors) to use. Here it is running on my Quadra 700 under A/UX with a 68040 CPU. Code is here: <a href="https://github.com/vaelen/multi-mandlebrot/blob/main/unix/xmandelbrot.c" rel="nofollow noopener" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/vaelen/multi-mandle</span><span class="invisible">brot/blob/main/unix/xmandelbrot.c</span></a> <a href="https://bitbang.social/tags/retrocomputing" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>retrocomputing</span></a> <a href="https://bitbang.social/tags/unix" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>unix</span></a> <a href="https://bitbang.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a> <a href="https://bitbang.social/tags/mac" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mac</span></a> <a href="https://bitbang.social/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>fractal</span></a></p>
Andrew Young<p>I added an X11 version of my mandelbrot program. This one is in color and is resizable! It runs on A/UX and will probably run on any version of UNIX that runs X11. I've attached screenshots from A/UX and modern Linux. You can find the code on github along with the console version: <a href="https://github.com/vaelen/multi-mandlebrot/tree/main/unix" rel="nofollow noopener" target="_blank"><span class="invisible">https://</span><span class="ellipsis">github.com/vaelen/multi-mandle</span><span class="invisible">brot/tree/main/unix</span></a> <a href="https://bitbang.social/tags/retrocomputing" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>retrocomputing</span></a> <a href="https://bitbang.social/tags/unix" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>unix</span></a> <a href="https://bitbang.social/tags/mac" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mac</span></a> <a href="https://bitbang.social/tags/x11" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>x11</span></a> <a href="https://bitbang.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a></p>
Microfractal<p><a href="https://mathstodon.xyz/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FractalFriday</span></a> (It's already Saturday)</p><p>Elephant valley of the Mobius Mandelbrot set.</p><p>Formula: \(z_{n+1}=f(z_n^2+c,1)\)</p><p>where \(f(z, a)\) is defined as (C-like pseudocode):</p><p>Complex f(Complex z, Real a) {<br> Real dist = abs(re(z)) - a;<br> if (re(z) &gt; a) {<br> re(z) = -a + dist;<br> im(z) = -im(z);<br> } else if (re(z) &lt; -a) {<br> re(z) = a - dist;<br> im(z) = -im(z);<br> }<br> return z;<br>}</p><p>Coloring is done by using three very similar colormaps, mapped to triangle inequality average values.<br>The final color is produced by interpolating between these three colors using the so called "atom domains".</p><p>Generated using my GLSL Shadertoy fractal generator: <a href="https://www.shadertoy.com/view/33sSRf" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">shadertoy.com/view/33sSRf</span><span class="invisible"></span></a></p><p><a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Fractal</span></a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Art</span></a> <a href="https://mathstodon.xyz/tags/Fractalart" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Fractalart</span></a> <a href="https://mathstodon.xyz/tags/Mathart" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathart</span></a> <a href="https://mathstodon.xyz/tags/GLSL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GLSL</span></a> <a href="https://mathstodon.xyz/tags/Shadertoy" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Shadertoy</span></a></p>
Marquis de Geek<p>Here's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphics</span></a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>JavaScript</span></a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>development</span></a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> 1 of 2 - obsfuscated and optimised to zoom in<br>real-time, even back in the day!<br><a href="https://www.sgxengine.com/examples/mandelbrot/html5/mandel.htm" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">sgxengine.com/examples/mandelb</span><span class="invisible">rot/html5/mandel.htm</span></a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sgx</span></a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sfx</span></a></p>
Microfractal<p>I'm not lying.<br>It's not possible!<br>but...</p><p><a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> <a href="https://mathstodon.xyz/tags/GLSL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GLSL</span></a> <a href="https://mathstodon.xyz/tags/Shadertoy" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Shadertoy</span></a> <a href="https://mathstodon.xyz/tags/Deepzoom" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Deepzoom</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Monday" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Monday</span></a> <a href="https://mastodon.art/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> <a href="https://mastodon.art/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mastodon.art/tags/Mood" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mood</span></a></p>
Univers logique<p>from feb 25<br><a href="https://mastodon.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a> <a href="https://mastodon.social/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>fractal</span></a></p>
Marquis de Geek<p>ICYMI,. Here's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphics</span></a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>JavaScript</span></a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>development</span></a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> 2 of 2 - using <a href="https://ohai.social/tags/WebWorkers" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>WebWorkers</span></a> to prove that it's not<br>-always- a benefit <a href="https://www.marquisdegeek.com/mandelworkers" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">marquisdegeek.com/mandelworkers</span><span class="invisible"></span></a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sgx</span></a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sfx</span></a></p>
Marquis de Geek<p>Here's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphics</span></a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>JavaScript</span></a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>development</span></a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> 2 of 2 - using <a href="https://ohai.social/tags/WebWorkers" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>WebWorkers</span></a> to prove that it's not<br>-always- a benefit <a href="https://www.marquisdegeek.com/mandelworkers" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">marquisdegeek.com/mandelworkers</span><span class="invisible"></span></a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sgx</span></a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sfx</span></a></p>
lagomoof<p>A pretty variant of the Mandelbrot fractal that looks like a bee! The name "Mandelbee" doesn't seem to be taken so that's what I'm calling it. <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>math</span></a> <a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>maths</span></a> <a href="https://mastodon.social/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>fractal</span></a> <a href="https://mastodon.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a> <a href="https://mastodon.social/tags/mandelbee" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbee</span></a></p>
Marquis de Geek<p>ICYMI Here's me showing off some <a href="https://ohai.social/tags/graphics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>graphics</span></a>, from my 20 years in <a href="https://ohai.social/tags/JavaScript" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>JavaScript</span></a> <a href="https://ohai.social/tags/development" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>development</span></a>: <a href="https://ohai.social/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> 1 of 2 - obsfuscated and optimised to zoom in<br>real-time, even back in the day!<br><a href="https://www.sgxengine.com/examples/mandelbrot/html5/mandel.htm" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">sgxengine.com/examples/mandelb</span><span class="invisible">rot/html5/mandel.htm</span></a> <a href="https://ohai.social/tags/sgx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sgx</span></a> <a href="https://ohai.social/tags/sfx" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sfx</span></a></p>
bbqshoes<p>Fiesta <a href="https://mastodon.art/tags/Monday" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Monday</span></a> <a href="https://mastodon.art/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mastodon.art/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> <a href="https://mastodon.art/tags/Mood" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mood</span></a></p>
vxo<p>Just making oddly delicious looking fractals. <a href="https://digipres.club/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a> <a href="https://digipres.club/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>fractal</span></a></p>
Oscar Cunningham<p>I made a Mandelbrot &amp; Julia set explorer! <a href="https://codepen.io/Oscar_Cunningham/full/ZYGZZVW" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">codepen.io/Oscar_Cunningham/fu</span><span class="invisible">ll/ZYGZZVW</span></a></p><p>I was watching <span class="h-card" translate="no"><a href="https://mathstodon.xyz/@standupmaths" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>standupmaths</span></a></span>'s video <a href="https://www.youtube.com/watch?v=0OP9guFmWfs" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">youtube.com/watch?v=0OP9guFmWf</span><span class="invisible">s</span></a> about Mandelbrot and Julia sets, and I could see he was clicking around in <span class="h-card" translate="no"><a href="https://mathstodon.xyz/@christianp" class="u-url mention" rel="nofollow noopener" target="_blank">@<span>christianp</span></a></span>'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.</p><p>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.</p><p>I don't write JavaScript, so all code is bad and/or stolen.</p><p><a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Maths</span></a> <a href="https://mathstodon.xyz/tags/Mathematics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathematics</span></a> <a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> <a href="https://mathstodon.xyz/tags/MandelbrotSet" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>MandelbrotSet</span></a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Fractal</span></a></p>
Érico Andrei 🇧🇷 :plone:<p>Desenho de 2025-06-29: "Mandelbrot 01"<br><a href="https://pynews.com.br/tags/desenhandocomcodigo" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>desenhandocomcodigo</span></a> <a href="https://pynews.com.br/tags/arte" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>arte</span></a> <a href="https://pynews.com.br/tags/processing" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>processing</span></a> <a href="https://pynews.com.br/tags/Sketch" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Sketch</span></a> <a href="https://pynews.com.br/tags/py5" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>py5</span></a> <a href="https://pynews.com.br/tags/CreativeCoding" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CreativeCoding</span></a> <a href="https://pynews.com.br/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>fractal</span></a> <a href="https://pynews.com.br/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a><br><a href="https://ericof.com/en/sketches/2025-06-29?mtm_campaign=SN&amp;mtm_kwd=pynews" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">ericof.com/en/sketches/2025-06</span><span class="invisible">-29?mtm_campaign=SN&amp;mtm_kwd=pynews</span></a></p>
Mille e Una Avventura<p>Recuperiamo 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">#<span>clanguage</span></a> <a href="https://mastodon.uno/tags/programming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>programming</span></a> <a href="https://mastodon.uno/tags/borland" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>borland</span></a> <a href="https://mastodon.uno/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a> <a href="https://www.youtube.com/watch?v=Bp5h-AMeRfQ" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">youtube.com/watch?v=Bp5h-AMeRf</span><span class="invisible">Q</span></a></p>
root42<p><strong>Let's Code MS DOS 0x2F: Mandelbrot Fractal</strong></p> <p><a href="https://makertube.net/w/7KcMw8CaBLMaDapYSkFPVk" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">makertube.net/w/7KcMw8CaBLMaDa</span><span class="invisible">pYSkFPVk</span></a></p>
root42<p>New video for Patrons (even free tier):<br>Let's Code MS DOS 0x2F: Mandelbrot Fractal</p><p><a href="https://www.patreon.com/posts/lets-code-ms-dos-131758170?utm_medium=clipboard_copy&amp;utm_source=copyLink&amp;utm_campaign=postshare_creator&amp;utm_content=join_link" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">patreon.com/posts/lets-code-ms</span><span class="invisible">-dos-131758170?utm_medium=clipboard_copy&amp;utm_source=copyLink&amp;utm_campaign=postshare_creator&amp;utm_content=join_link</span></a><br><a href="https://chaos.social/tags/letscode" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>letscode</span></a> <a href="https://chaos.social/tags/msdos" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>msdos</span></a> <a href="https://chaos.social/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>mandelbrot</span></a> <a href="https://chaos.social/tags/retrocomputing" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>retrocomputing</span></a></p>
Microfractal<p>Waves</p><p>Mandelbrot set deep zoom, exponential mapped.</p><p>Coordinates:</p><p>X: -0.744033259370087676792393294794996170098405423509202858828018362736359875611067024815030266340822148798854892606120087675414719308558729395069156295109834022154773268883686027121547045665771055311191726579865822306139890000890097414112909</p><p>Y: 0.0989840577772712209111477244548225883613965629986649162521468688648576786679506467154805553017452566026633195562560300596030280994526284287528746237588901097460901908918502319067407247982314031469949142811884466432684555658875305586357918</p><p>Size: 8e-201</p><p><a href="https://mathstodon.xyz/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mandelbrot</span></a> <a href="https://mathstodon.xyz/tags/Fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Fractal</span></a> <a href="https://mathstodon.xyz/tags/Mathart" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Mathart</span></a> <a href="https://mathstodon.xyz/tags/Art" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Art</span></a></p>