Math Visualization Projects
This model tries to emulate the movement of swarms or flocks of animals that tend to move together. Individual agents in the model continually adjust their heading based on their neighbors' headings, which makes for some organic-looking movement.
The GeoGebra version of a little doodle I used to make in my notebooks in school. I call it "string art" because you can make the same thing by tying string between pegs on a triangular frame.
An animation of some slightly offset rose curves with changing colors. "Trippy Nonsense" was most appropriate name I could think of when I saved this project.
One of the first GeoGebra applets I made. This one is meant as a teaching tool: it lets students simultaneously see how the grid curves in the parameter domain show up on the parametrized surface.
The Mandelbrot Set is formed by iterating a (relatively) simple operation on points on the plane. Open this Desmos applet and Zoom in to see the details!
I had some fun drawing sequences of colored polygons in GeoGebra. Open the app to see the colors animated -- it's even more fun that way!
GeoGebra, geometry, color
A "torus knot" is a curve that wraps around a torus (aka. a donut) in a certain way. I made an applet that can display any torus knot and will slowly color it (just for fun).
An "envelope" refers to the curve formed at the boundary of a collection of line segments. The envelope formed in this picture is a parabola!
GeoGebra, color, geometry