These are the same cellular automata I’ve been working with. This time I’ve just mapped them into a circular grid, which seemed to make sense as I’m using circular boundary conditions.
A Pencil of Circles
This is what I was aiming for with the post from the other day.
It’s interesting, but doesn’t have quite the same punch as the “error” version.
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Happy Accident #2
I had an error with the length function, but I really like the results.
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Circle Test
Generating circles with a mapping from 3 space to the 1 sphere down to the plane.
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Parameterized Prey Peaks
This is a very rough render of the first 25 peaks as the focus point of the predator prey equation is rotated in a circle at a varying frequency. Â I need to do better peak estimation to pull out some of the jaggedness, but it’s already a more interesting pattern than the logistic equation.
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Disintegration
The tighter you hold on, the more things fly apart.
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Chaos #1
I’m starting a new series based on chaotic dynamical systems.
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Distortion
I’m still playing around with my new approach generating images. Â This one is based on a simple first order differential equation, which keeps the lines from overlapping each other.
For this particular image I created a ring of distortion using a narrow Lorentzian function and some angled lines.
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A happy accident
This is my first update since I’ve been screwing around with updating the template. I’ve moved off of 2010 to 2011, and dropped that to go the base genesis framework. I like the default font a lot, but still don’t like the default urls that wordpress generates, so I think I’m going to end up at a customized version of the roots framework. Enough blogtalk. I’ve been playing around with mapping out different grids using differential equations. This was supposed to be concentric circles.
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Something different about this one
Continuing on the theme of central forces. This is an initial image of the next guy I’m looking at.
This one is pretty similar to the others I’ve done except for that empty circle in the center.
