TL;DR
This paper analyzes the statistical properties of checkerboard triangulations of convex polygons, where triangles are alternately colored black and white, revealing insights into their combinatorial structure.
Contribution
It introduces a detailed statistical analysis of checkerboard triangulations, a novel approach to understanding their combinatorial and geometric properties.
Findings
Distribution patterns of black and white triangles
Enumeration formulas for checkerboard triangulations
Insights into the structure of triangulations with alternating coloring
Abstract
We describe the statistics of checkerboard triangulations obtained by colouring black every other triangle in triangulations of convex polygons.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Computational Geometry and Mesh Generation · Topological and Geometric Data Analysis