Santa Fe, NM, USA
As a researcher in Visual Communication, I like exploring the iconographic aspect of mathematics in a flat two-dimensional context. I often find unexpected and rewarding connections I enjoy sharing with peers and the public at large. The two images I’m submitting illustrate this concept well. One has to do with Geometry and Nature and how compelling the common thread between the mathematical and organic world; the other combines recursive patterns and non-linear, differential equations to revisit Color theory principles and practices from a mathematical and stochastic perspective.
60 x 60 x 1 cm
Mixed-media print
The blending of a Cuprite crystal unit cell structure and a minimal surface. Cuprite is the only known mineral in nature that expends as a gyroid. Its crystal is built according to a Pn3m symmetry, four threefold axes, either by rotation or inversion, along four body diagonals of a cube. A strong and powerful visual statement in three- and two-dimensions as well.
Stochastic art #8
60 x 60 x 1 cm
Mixed-media print
Random & Fractal. The background of this image is a random blending and positioning of green and magenta hexagon tiles determined by an automated process based on the Lokta-Volterra equation —a pair of first-order, non-linear, differential equations, later studied by Russian mathematician A. Kolmogorov for a non-probabilistic approach to statistics and model selection.
The resulting pattern was converted into a recursive, fractal texture on the spheres and forefront frames. Blending Mathematics, elements of Graph theory and examples of Self-Similarity is an intriguing and dynamic alternative to Color theory best practices.