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    <title>#fractals posts — Ben Crowder</title>
    <link>https://bencrowder.net/blog/tag/fractals/</link>
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    <description>Feed for blog posts tagged with #fractals.</description>
    <lastBuildDate>Sat, 04 Apr 2026 05:22:16 GMT</lastBuildDate>
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    <item>
      <title>More Mandelbulber pieces</title>
      <link>https://bencrowder.net/blog/2013/more-mandelbulber-pieces/</link>
      <guid isPermaLink="true">https://bencrowder.net/blog/2013/more-mandelbulber-pieces/</guid>
      <pubDate>Wed, 15 May 2013 12:00:00 GMT</pubDate>
      <dc:creator><![CDATA[Ben Crowder]]></dc:creator>
      <description><![CDATA[<p>I’m finding that Mandelbulber is really addictive. First off, two Mandelbulb explorations:</p>
<figure><a href="https://bencrowder.net/art/works/mandelbulb-003/"><img src="https://cdn.bencrowder.net/images/2013/05/Mandelbulb003-800.jpg" alt="" /></a></figure>
<figure><a href="https://bencrowder.net/art/works/mandelbulb-004/"><img src="https://cdn.bencrowder.net/images/2013/05/Mandelbulb004-800.jpg" alt="" /></a></figure>
<p>I wised up and started doing a 1px field blur in Photoshop on the rendered images, which helps a lot in getting rid of sharp artifacts. On the first image I also painted in some dots and ran lens blur.</p>
<p>Next, a Mandelbox (Tglad’s variant):</p>
<figure><a href="https://bencrowder.net/art/works/mandelbox-004/"><img src="https://cdn.bencrowder.net/images/2013/05/Mandelbox004.jpg" alt="" /></a></figure>
<p>I cheated a bit and used the liquify and oil paint filters in Photoshop to get a more surreal, painted look (hopefully giving it a little more humanity, making it less sterile).</p>
<p>Finally, a Menger sponge:</p>
<figure><a href="https://bencrowder.net/art/works/menger-001/"><img src="https://cdn.bencrowder.net/images/2013/05/Menger001-800.jpg" alt="" /></a></figure>
<p>Going for a folk art look here. I will try very hard not to overuse the oil paint filter. I really will. I promise.</p><hr class="feed-extra" style="margin-top: 48pt;" /><p class="feed-extra feed-mail"><a href="mailto:ben.crowder@gmail.com?subject=Re%3A%20More Mandelbulber pieces">Reply via email</a></p>]]></description>
    </item>
    <item>
      <title>Mandelbox 001–003</title>
      <link>https://bencrowder.net/blog/2013/mandelbox-001-003/</link>
      <guid isPermaLink="true">https://bencrowder.net/blog/2013/mandelbox-001-003/</guid>
      <pubDate>Mon, 22 Apr 2013 12:00:00 GMT</pubDate>
      <dc:creator><![CDATA[Ben Crowder]]></dc:creator>
      <description><![CDATA[<p>Some more Mandelbulbery, this time exploring the <a href="http://en.wikipedia.org/wiki/Mandelbox">Mandelbox</a> fractal instead of the Mandelbulb:</p>
<figure><a href="https://bencrowder.net/art/works/mandelbox-001/"><img src="https://cdn.bencrowder.net/images/2013/04/Mandelbox001-800.jpg" alt="" /></a></figure>
<p>My process for these is to choose a fractal type in Mandelbulber, play around with the fractal parameters till I find an interesting shape, move the camera around until I get a good view, and render it. I then tweak the shader values (colors, specular, ambient occlusion, etc.) and the lights (position, color, etc.) and re-render till I get what I like. Finally I turn on depth of field and add a little fog.</p>
<p>Once I’m happy with the image in Mandelbulber, I export to PNG and open it in Photoshop to add some texturing. I also scale the image down a bit to get rid of some of the rendering artifacts. (It’s not wholly successful, but it does make a big difference.)</p>
<figure><a href="https://bencrowder.net/art/works/mandelbox-002/"><img src="https://cdn.bencrowder.net/images/2013/04/Mandelbox002.jpg" alt="" /></a></figure>
<p>And here we are going for an underwater type of atmosphere (via aqua-colored fog and some vignetting in Photoshop):</p>
<figure><a href="https://bencrowder.net/art/works/mandelbox-003/"><img src="https://cdn.bencrowder.net/images/2013/04/Mandelbox003-800.jpg" alt="" /></a></figure><hr class="feed-extra" style="margin-top: 48pt;" /><p class="feed-extra feed-mail"><a href="mailto:ben.crowder@gmail.com?subject=Re%3A%20Mandelbox 001–003">Reply via email</a></p>]]></description>
    </item>
    <item>
      <title>Mandelbulber sketches</title>
      <link>https://bencrowder.net/blog/2013/mandelbulber-sketches/</link>
      <guid isPermaLink="true">https://bencrowder.net/blog/2013/mandelbulber-sketches/</guid>
      <pubDate>Sat, 20 Apr 2013 12:00:00 GMT</pubDate>
      <dc:creator><![CDATA[Ben Crowder]]></dc:creator>
      <description><![CDATA[<p>I discovered <a href="http://www.mandelbulber.com/">Mandelbulber</a> yesterday and have been playing around with it a little:</p>
<figure><a href="https://cdn.bencrowder.net/images/2013/04/mbulb-001.jpg" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2013/04/mbulb-001-800.jpg" alt="" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2013/04/mbulb-002.jpg" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2013/04/mbulb-002-800.jpg" alt="" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2013/04/mbulb-003.jpg" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2013/04/mbulb-003-800.jpg" alt="" /></a></figure>
<p>Quite fun. (The <a href="http://en.wikipedia.org/wiki/Mandelbulb">Mandelbulb</a> is a 3D version of the Mandelbrot set. There’s more to it than that, but you get the basic idea.)</p><hr class="feed-extra" style="margin-top: 48pt;" /><p class="feed-extra feed-mail"><a href="mailto:ben.crowder@gmail.com?subject=Re%3A%20Mandelbulber sketches">Reply via email</a></p>]]></description>
    </item>
    <item>
      <title>L-system animation tests</title>
      <link>https://bencrowder.net/blog/2010/l-system-animation-tests/</link>
      <guid isPermaLink="true">https://bencrowder.net/blog/2010/l-system-animation-tests/</guid>
      <pubDate>Tue, 14 Dec 2010 12:00:00 GMT</pubDate>
      <dc:creator><![CDATA[Ben Crowder]]></dc:creator>
      <description><![CDATA[<p>I’ve been playing around some more with the <a href="https://bencrowder.net/cg/2010/l-system-sketches/">L-system code</a> and modified it to animate the angle property and output each frame to a file. I also added some color and started using blending modes for the brushes. Once I clean up the code, I’ll post it to GitHub.</p>
<p>Anyway, here are some of the animation tests (I used Blender to put the frames together into an animation):</p>
<iframe src="//player.vimeo.com/video/17789894?byline=0&amp;portrait=0&amp;color=ffffff" width="800" height="450" frameborder="0" webkitAllowFullScreen mozallowfullscreen allowFullScreen></iframe>
<iframe src="//player.vimeo.com/video/17792662?byline=0&amp;portrait=0&amp;color=ffffff" width="800" height="450" frameborder="0" webkitAllowFullScreen mozallowfullscreen allowFullScreen></iframe>
<p>And the first one I did, which is a little too long and a little too fast:</p>
<iframe src="//player.vimeo.com/video/17789817?byline=0&amp;portrait=0&amp;color=ffffff" width="800" height="400" frameborder="0" webkitAllowFullScreen mozallowfullscreen allowFullScreen></iframe><hr class="feed-extra" style="margin-top: 48pt;" /><p class="feed-extra feed-mail"><a href="mailto:ben.crowder@gmail.com?subject=Re%3A%20L-system animation tests">Reply via email</a></p>]]></description>
    </item>
    <item>
      <title>L-system sketches</title>
      <link>https://bencrowder.net/blog/2010/l-system-sketches/</link>
      <guid isPermaLink="true">https://bencrowder.net/blog/2010/l-system-sketches/</guid>
      <pubDate>Mon, 13 Dec 2010 12:00:00 GMT</pubDate>
      <dc:creator><![CDATA[Ben Crowder]]></dc:creator>
      <description><![CDATA[<p>I’ve been getting into procedural drawing and generative art some more, and last week I decided to try out <a href="http://en.wikipedia.org/wiki/L-system">L-systems</a>. I ported some <a href="http://www.robotacid.com/PBeta/LSystem/index.html">Processing code</a> to Javascript and Canvas, then modified it and added controls so I could tweak the values and try things out. I also wrote a handful of additional brushes to get more interesting renders out of it (since plain lines can be kind of boring).</p>
<p>The algorithm isn’t entirely accurate — at least based off of the axioms and rulesets I plugged in from the <em>Algorithmic Beauty of Plants</em> book — but I like what I’m getting. I’ll do a second app sometime later with the correct algorithm.</p>
<p>Anyway, the code (which is kind of messy at the moment) is on <a href="http://github.com/bencrowder/lsystem">GitHub</a>. Sometime later I plan to add color selectors and more brushes. You can see the rest of these images in my <a href="http://www.flickr.com/photos/crowderb/sets/72157625564116896/">sketches set</a> on Flickr.</p>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-8.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-8-525x262.png" alt="" title="lsystem-sketch-8" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-18.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-18-525x262.png" alt="" title="lsystem-sketch-18" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-21.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-21-525x262.png" alt="" title="lsystem-sketch-21" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-22.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-22-525x262.png" alt="" title="lsystem-sketch-22" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-27.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-27-525x262.png" alt="" title="lsystem-sketch-27" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-37.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-37-525x262.png" alt="" title="lsystem-sketch-37" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-38.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-38-525x262.png" alt="" title="lsystem-sketch-38" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-40.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-40-525x262.png" alt="" title="lsystem-sketch-40" /></a></figure>
<figure><a href="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-43.png" rel="shadowbox"><img src="https://cdn.bencrowder.net/images/2010/12/lsystem-sketch-43-525x262.png" alt="" title="lsystem-sketch-43" /></a></figure><hr class="feed-extra" style="margin-top: 48pt;" /><p class="feed-extra feed-mail"><a href="mailto:ben.crowder@gmail.com?subject=Re%3A%20L-system sketches">Reply via email</a></p>]]></description>
    </item>
    <item>
      <title>Mandelbrot&#39;s Garden</title>
      <link>https://bencrowder.net/blog/2010/mandelbrots-garden/</link>
      <guid isPermaLink="true">https://bencrowder.net/blog/2010/mandelbrots-garden/</guid>
      <pubDate>Wed, 24 Mar 2010 12:00:00 GMT</pubDate>
      <dc:creator><![CDATA[Ben Crowder]]></dc:creator>
      <description><![CDATA[<p>Two fractal-based pieces I made in FractalWorks and textured in Photoshop (as I am wont to do). The first is “Mandelbrot’s Garden”:</p>
<figure><a href="https://bencrowder.net/art/works/mandelbrots-garden/"><img src="https://cdn.bencrowder.net/images/2010/03/mandelbrots_garden-570x359.jpg" alt="" title="Mandelbrot's Garden" /></a></figure>
<p>And the second is “Mandelrim”:</p>
<figure><a href="https://bencrowder.net/art/works/mandelrim/"><img src="https://cdn.bencrowder.net/images/2010/03/mandelrim-570x296.jpg" alt="" title="Mandelrim" /></a></figure><hr class="feed-extra" style="margin-top: 48pt;" /><p class="feed-extra feed-mail"><a href="mailto:ben.crowder@gmail.com?subject=Re%3A%20Mandelbrot&amp;#8217;s Garden">Reply via email</a></p>]]></description>
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