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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>

claudeinspired by tavis' deep field <a href="https://post.lurk.org/tags/nebulabrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#nebulabrot</a> <a href="https://post.lurk.org/tags/DeepZoom" class="mention hashtag" rel="nofollow noopener" target="_blank">#DeepZoom</a> images on <a href="https://post.lurk.org/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> <a href="https://post.lurk.org/tags/fractals" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractals</a> forums, I did a little shader that for each c in the complement of the <a href="https://post.lurk.org/tags/MandelbrotSet" class="mention hashtag" rel="nofollow noopener" target="_blank">#MandelbrotSet</a> M, colours according to how often z <- z^2 + c hits a given small target disc , weighted by derivative (as a proxy for point density).it looks as though the hit sources are distributed everywhere near the boundary of M, which i think i can prove for target discs outside a sufficiently large esape circle, but i'm not sure how for discs nearer M. intuitively, by the time any cell pair in binary decomposition of exterior escapes, it covers an annulus with radii R, R^2, so any disc outside R will be hit by some region in every cell pair.<a href="https://post.lurk.org/tags/math" class="mention hashtag" rel="nofollow noopener" target="_blank">#math</a> <a href="https://post.lurk.org/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://post.lurk.org/tags/proof" class="mention hashtag" rel="nofollow noopener" target="_blank">#proof</a> <a href="https://post.lurk.org/tags/ComplexDynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#ComplexDynamics</a>

ClaudeMillionaires 001 (The Making Of)<a href="https://diode.zone/videos/watch/0ddeed9b-6cfd-4fe6-a85e-0342b95b6284" rel="nofollow noopener" translate="no" target="_blank">https://diode.zone/videos/watch/0ddeed9b-6cfd-4fe6-a85e-0342b95b6284</a>

claudeStarted a new series of <a href="https://post.lurk.org/tags/Mandelbrot" class="mention hashtag" rel="nofollow noopener" target="_blank">#Mandelbrot</a> <a href="https://post.lurk.org/tags/DeepZoom" class="mention hashtag" rel="nofollow noopener" target="_blank">#DeepZoom</a> <a href="https://post.lurk.org/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> <a href="https://post.lurk.org/tags/art" class="mention hashtag" rel="nofollow noopener" target="_blank">#art</a> pieces.Concept: stop zooming once the period of the central baby Mandelbrot set exceeds one million.<a href="https://mathr.co.uk/web/millionaires.html#001" rel="nofollow noopener" target="_blank">https://mathr.co.uk/web/millionaires.html#001</a>

claude<a href="https://fraktaler.mathr.co.uk/" rel="nofollow noopener" target="_blank">https://fraktaler.mathr.co.uk/</a> version 2 releasedfraktaler 3 is a fast deep zoomer for hybrid escape time fractalsversion 2 brings a new opcode-based formula engine (faster computationally, more robust mathematically, more flexible artistically) and wisdom configuration GUI (no more running obscure commands and editing configuration text files).try it live in your browserbinaries for windows and androidsource code under GNU AGPL3 tested on Debian<a href="https://post.lurk.org/tags/fast" class="mention hashtag" rel="nofollow noopener" target="_blank">#fast</a> <a href="https://post.lurk.org/tags/deep" class="mention hashtag" rel="nofollow noopener" target="_blank">#deep</a> <a href="https://post.lurk.org/tags/zoom" class="mention hashtag" rel="nofollow noopener" target="_blank">#zoom</a> <a href="https://post.lurk.org/tags/DeepZoom" class="mention hashtag" rel="nofollow noopener" target="_blank">#DeepZoom</a> <a href="https://post.lurk.org/tags/hybrid" class="mention hashtag" rel="nofollow noopener" target="_blank">#hybrid</a> <a href="https://post.lurk.org/tags/escape" class="mention hashtag" rel="nofollow noopener" target="_blank">#escape</a> <a href="https://post.lurk.org/tags/time" class="mention hashtag" rel="nofollow noopener" target="_blank">#time</a> <a href="https://post.lurk.org/tags/EscapeTime" class="mention hashtag" rel="nofollow noopener" target="_blank">#EscapeTime</a> <a href="https://post.lurk.org/tags/fractal" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractal</a> <a href="https://post.lurk.org/tags/fractals" class="mention hashtag" rel="nofollow noopener" target="_blank">#fractals</a>

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