bbqshoes<p>Quickness of the eye, deceives the mind <a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractals</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a></p>
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#FractalFriday
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bbqshoes<p>Nobody can get no sleep, there's someone on everyone's toes </p><p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/Fractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractals</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a></p>
Microfractal<p>Decagon (fractal version)</p><p>\(z_{n+1}=fold(z_n)^2+c\)</p><p>where fold is a generalized absolute value function. A complex number has two components: a real and an imaginary part.<br>If we take the absolute value of one of these parts, we can interpret this as a fold in the complex plane. For example, |re(z)| causes a fold of the complex plane around the imaginary axis, which means that the left half ends up on the right half. If we do this for the imaginary component |im(z)|, we fold the complex plane around the real axis which means that the bottom half ends up on the top half.<br>These two operations are quite similar, because the imaginary fold is just like the real fold of the plane, except that it was previously rotated 90 degrees (z * i). But what if we rotate the plane by an arbitrary number of degrees?<br>An arbitrary rotation of the complex plane can be expressed as rot(z, radians) = z * (cos(radians) + sin(radians) * i), where radians encodes the rotation.</p><p>The image here is produced, by rotating the plane exactly five times, and folding the imaginary part each time.</p><p>I found this algorithm in the Fractal Formus under the name “Correction for the Infinite Burning Ship Fractal Algorithm”.<br>It can be seen as a generalization of the burning ship obtained by folding the complex plane twice with a rotation of 90 degrees, i.e. folding both the real and the imaginary part.</p><p><a href="https://mathstodon.xyz/tags/fractalfriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractalfriday</span></a> <a href="https://mathstodon.xyz/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractal</span></a> <a href="https://mathstodon.xyz/tags/burningship" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>burningship</span></a> <a href="https://mathstodon.xyz/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mandelbrot</span></a> <a href="https://mathstodon.xyz/tags/complexplane" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>complexplane</span></a> <a href="https://mathstodon.xyz/tags/complexnumbers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>complexnumbers</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a> <a href="https://mathstodon.xyz/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://mathstodon.xyz/tags/escapetimefractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>escapetimefractals</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractal</span></a></p>
Microfractal<p>Deep inside</p><p><a href="https://mathstodon.xyz/tags/fractalfriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractalfriday</span></a> <a href="https://mathstodon.xyz/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractal</span></a> <a href="https://mathstodon.xyz/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mandelbrot</span></a> <a href="https://mathstodon.xyz/tags/escapetime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>escapetime</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a></p>
bbqshoes<p>Static in my attic <a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractals</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a> it's <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractal</span></a></p>
Dani Laura (they/she/he)<p>A fractal with circles. With the colours of the flag of <a href="https://mathstodon.xyz/tags/Palestine" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Palestine</span></a>, to reclaim the end of the <a href="https://mathstodon.xyz/tags/genocide" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>genocide</span></a> in <a href="https://mathstodon.xyz/tags/Gaza" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Gaza</span></a>.<br><a href="https://mathstodon.xyz/tags/geometry" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>geometry</span></a> <a href="https://mathstodon.xyz/tags/Mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathart</span></a> <a href="https://mathstodon.xyz/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractal</span></a> <a href="https://mathstodon.xyz/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractal</span></a></p>
Uwe Küchler<p><a href="https://ieji.de/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> meets <a href="https://ieji.de/tags/FungiFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FungiFriday</span></a> meets <a href="https://ieji.de/tags/Mosstodon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mosstodon</span></a>. 😃 </p><p>It's been raining for days on end, which means that the moss is happy, growing shiny and bright green. In this case on a bracket fungus that grows on a tree stump hosting 3 generations of them.</p><p><a href="https://ieji.de/tags/shroomscrolling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>shroomscrolling</span></a> <a href="https://ieji.de/tags/photography" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>photography</span></a> <a href="https://ieji.de/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractal</span></a> <a href="https://ieji.de/tags/mushtodon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mushtodon</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractals</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a></p>
Microfractal<p>RGB orbit traps</p><p><a href="https://mathstodon.xyz/tags/fractalfriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractalfriday</span></a> <a href="https://mathstodon.xyz/tags/fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fractal</span></a> <a href="https://mathstodon.xyz/tags/mandelbrot" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mandelbrot</span></a> <a href="https://mathstodon.xyz/tags/mathart" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathart</span></a> <a href="https://mathstodon.xyz/tags/orbittraps" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>orbittraps</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractals</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractalFun" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractalFun</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractal</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a></p>
bbqshoes<p>Filigree <a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractal</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a></p>
bbqshoes<p><a href="https://mastodon.art/tags/Friday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Friday</span></a> <a href="https://mastodon.art/tags/Fractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Fractals</span></a> <a href="https://mastodon.art/tags/FractalFriday" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FractalFriday</span></a> <a href="https://mastodon.art/tags/FridayFractals" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FridayFractals</span></a></p>
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