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Project Description
Project Description
This work visualizes the multiplication table of the symmetry group of an equilateral triangle, realized as the general linear group GL(2, F₂) over the finite field of order 2. The elements of GL(2, F₂) are 2×2 matrices, displayed as 2×2 squares: entries equal to 1 are represented by colored squares with insects, while entries equal to 0 are represented by black beetles. Each group element is assigned a distinct color and an insect order. An insect order is a rank in biological taxonomy that classifies related types of insects. The elements in the subgroup of order 3 are represented using warm colors, while the remaining elements are represented with cool colors.
Medium: watercolor, watercolor and card stock paper, insect specimens
The figure to the right shows how each matrix is represented, with the arrangement of insects reflecting the matrix layout, where insects denote 1 and black beetles denote 0. Thus, the matrix represented by the figure would be [1,0;0,1].
This piece explores the intersection of mathematical structure and natural form. By visualizing a group through insect taxonomy and color, it highlights how abstract systems can find resonance in the natural world.
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