Thoughts from a Recreational Physicist
The stills don’t have anywhere near the punch that the ring rendering does, but the nebulous billowy cloud like effect is nice. I’m using the same code to pick the colors, just replacing stroke with fill. I’ll have to keep this in my back pocket and see if there is something I can pull this out for in the future.
I can’t say I’m a huge fan of these, but I’m playing around with colors and the rendering.  Right now they just seem pretty  for pretty’s sake.  I think I’m waiting around for inspiration on how to put these to good use.  These are generative and then just selected to save as an image.  Enjoy!
I’ve got to take a break from the stripey stuff for a little while. This is circling back to the circles. I’ve taken the mapping I’ve been using from the inside of a sphere to the set of all circles, lines and points on the plane and combined them. This is what I was aiming for from the outset of this experiment, I’ve just taken a few detours getting here. I’m still trying to figure out if I can use these images or the best techniques to render the objects, or even which sets of transformations even work well for these images.
The core of the approach is tying back the relationships between fractals and parameter spaces. Given the mapping from a subset of 3 dimensional space to simple geometric objects on the plane, we can use that to map distributions of points on that subset to distributions on the simple geometric objects of the plane. I’m trying to figure out if I can make anything pretty with that, and can I exploit it to make anything meaningful out of those images. So here is a random walk through these spaces.
This is another shot from the quantum superposition viewer. Â It’s neat as op art, but I’m still trying to fully grasp the realization I made that this represents an unchanging distribution of a unit of rotational motion. Â The state is fixed, but it contains within it an orbiting particle.
This is my first experiment with canvas. I was trying to build a better understanding of the geometric uses of Clifford algebras. This little snip-it shows some features of the Clifford triple product in 2 dimensional Euclidean space.
I’m pleased with the motion on this one. It’s still just experimentation, but the results are promising.
I was going back through some of my old posts and making sure the javascript still works, and I loaded up the three.js particle system test code I put up a while back. Instead of being broken, it was even faster in chrome than when i wrote it. I was surprised at how much of a difference the boost in performance made.
Ooooh, this is getting interesting now. Â This shows a grid as the spacing changes from wide to small spacing.
I’ve added a bunch of gyrations onto the circle of circles and set it rotating as well.
In the continuing saga of the stereographic projections is infinite flow. Â This rotates the circle around the y axis creating the illusion of continuous flow in one direction.
