Zhegalkin Zebra Motives Digital Recordings of Mirror Symmetry

Abstract

Zhegalkin zebra motives are tilings of the plane by black and white polygons representing certain ${\mathbb{F}}_2$-valued functions on ${\mathbb{R}}^2$. They exhibit a rich geometric structure and provide easy to draw insightful visualizations of many topics in the physics and mathematics literature. The present paper gives some pieces of a general theory and a few explicit examples. Many more examples will be shown in the forthcoming article "Zhegalkin zebra motives: algebra and geometry in black and white".

References in corpus (4)

• The Master Space of N=1 Gauge Theories
• Brane Tilings and Reflexive Polygons
• A Dimer ABC
• Composite Genus One Belyi Maps