Mathematical Figures

Mathematical Figures

Byrne's Euclid
Mathematics is beautiful, and I love when mathematical drawings reflect this beauty in carefully chosen aesthetics. If you haven’t seen it, Oliver Byrne’s 1847 edition of Euclid is a particularly stunning achievement in visual communication of abstract ideas and mathematical drawing (see the image to the right, or better yet, get yourself a copy). Many of my contemporary mathematicians also produce beautiful works of mathematical art in their papers and books. Check out just about any paper by Satyan Devadoss, or those by Jeff Erickson, or Joseph O’Rourke, or Erik Demaine, to name just a few.

My Drawings

I am by no means an artist, but I do take care with my own mathematical drawings. Below are a few of my own scribbles from past talks and papers as well as current work in no particular order:

A rigid folding of an origami universal molecule.
A rigid folding of an origami universal molecule.
A circle packing.
A circle packing.
A circle packing of Virginia.
A circle packing of Virginia.
Another circle packing.
Another circle packing.
A hyperbolic green-black polygon.
A hyperbolic green-black polygon.
Construction of a geodesic origami universal molecule with high boundary curvature.
Construction of a geodesic origami universal molecule with high boundary curvature.
Another circle packing.
A figure made for our upcoming Monthly paper that we did not end up including (we kept the figures in the paper to 2D).
A non-unique c-octahedron.
A non-unique c-octahedron.
A canonical Möbius transformation for a parabolic flow from our c-octahedra paper.
A canonical Möbius transformation for a parabolic flow from our c-octahedra paper.