Jade Mawn

Statement

As a math student, one thing that I frequently find intriguing is how we have come to visually express math concepts. For example I remember the awe of early algebra, seeing equations represent graphs and vice versa, and manipulating these elements. Or, when I first grasped derivatives through graphical visualization, rather than from rules and formulas. Throughout the past academic year I have had the pleasure of working alongside Dr. Heather Russell in her research on Webs. The visual nature of this work instantly appealed to me. My research book often reminds me of a sketchbook more so than a notebook, which is how I came to realize these webs are art as much as they are math and I do not think such a distinction needs to be made.

Artworks

This piece explores the utilization of webs, a specialized type of graph, to convey complex mathematical concepts. This piece considers the many layers of information veiled by a web, and the various ways of representing this information. By substituting numerical concepts with color, it enhances both the appeal and exploratory capacity of webs. Despite their visual distinction, both graphs share the same fundamental information. While these colorful encoding are simpler for certain operations, the binary labelings are optimal for others, showcasing the beauty of unique representations. This piece was created in collaboration with research being conducted by Dr. Heather Russell, focusing on Web Combinatorics.