These renderings never really went anywhere. They show chaotic orbits around 3 fixed attractive potentials while varying a uniform magnetic field. There are some lovely sweeps and folds as the chaos unfolds. I also like the glowing effect as the orbits get tightly wrapped around the centers of attraction. There wasn’t much to this other than some pretty curves, however, I did realize how essential drag is in making interesting forms. I suppose adding flocking and some higher order terms would help in adding further visual interest.
These are all simple images where I’m testing out a very simple set of rules. I’m using a modified lorentzian function to generate the colors near each line. The position and intensity of each line is determined by a tree like algorithm. I got a lot of different effects from playing with the colors and the height of each line. Like many things in this learning process, I never thought some of these minor tweaks would have such a large impact on the resulting image. The parameters that I did expect to change things just ended up making things either too muddy, dense or too sparse. I’ve still got to give it some try with some real colors, but I’ve gotten sidetracked yet again!
More of theÂ stereographicÂ circle series. Â In this one, the circles are defined byÂ iterating over a circle in 3 dimensional space. Â That circle is bouncing up and down in the vertical direction.The changing shape and disappearance come from the circle leaving the interior of the sphere and returning bit by bit.
This is a basic rendering just connecting cells if they are in the same state.Â It turned out kinda neat.Â I started with a ball and stick model, but the balls just added visual noise.Â I think I’ll try rotating a shaded ball next, but the transitions require comparing two models instead of just blending the two images. Â
This page is just playing around with linear paths through the circle space. Â I’ve tried some more complicated shapes but they quickly get too complicated.