Desmos Graphs: A Celebration of Mathematical Art

For those active in the Desmos community online, Bernard is a familiar name. But what exactly is Bernard? And why has he become the unofficial mascot of Desmos?

The shape of a rope hanging between two points may not be a parabola, despite its resemblance. Similarly, constructing a tesseract using Bernard as the base shape instead of a square results in a unique 4D manifestation.

As an enthusiast of Desmos graphs, I have created numerous artistic renditions of Bernard. One of my favorite creations is Desmos Graphs Art, which showcases the beauty of complex functions and their visual representation through domain coloring on the Riemann sphere.

Domain coloring is a method for visualizing complex functions by assigning colors to each number in the complex plane, moving each input to its output. This technique allows us to see the effect of the function over the entire input space, making it an essential tool for understanding complex mathematical concepts.

My fascination with Desmos graphs began when I discovered the quadtree descent algorithm for drawing implicit equations, which gives birth to Bernard. Since then, I have explored various artistic animations and coordinate projections, creating a diverse range of graphs that showcase my creativity and passion for mathematical art.

In this article, I will share eight of my favorite Desmos graphs in chronological order from oldest to newest. From harmonographs to obscure coordinate projections, these creations represent the diversity and beauty of mathematical art in Desmos.

Whether you're an expert on Bernard or just starting your journey in the world of Desmos graphs, I invite you to join me in celebrating the intersection of mathematics and art.

Desmos graphs art