Math Visualization Projects
Viscek Model
Viscek Model

August 2022

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.

Desmos, simulation

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The "Square Wave"
The "Square Wave"

August 2022

Inspired by a geometric toy called the "Square Wave" made by Kinetrika. (Look it up, it's pretty cool!) I recreated it in GeoGebra.

GeoGebra, geometry

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String Art
String Art

June 2021

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.

GeoGebra, geometry

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Trippy Nonsense
Trippy Nonsense

May 2021

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.

GeoGebra, color

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Parametrized Surfaces
Parametrized Surfaces

January 2020

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.

GeoGebra, education

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Mandelbrot Set
Mandelbrot Set

August 2022

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!

Desmos, mathy

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Spiral Triangles
Spiral Triangles

June 2021

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

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Torus Knots
Torus Knots

June 2021

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).

GeoGebra, geometry

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Envelopes
Envelopes

April 2021

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

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