Bounds of sub-triangles
Amalia Adlerteg, Linus Carlsson
TL;DR
This paper establishes bounds on angles in iterative trisections of specific triangulations, providing insights into geometric properties and limitations of such subdivisions.
Contribution
It introduces new bounds for angles in triangulation iterations, advancing understanding of geometric constraints in subdivision processes.
Findings
Upper and lower bounds for angles established
Bounds apply to specific triangulation iterations
Provides theoretical limits for geometric configurations
Abstract
We show upper and lower bounds for angles in iterations of trisections of certain triangulations.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Polynomial and algebraic computation · Advanced Optimization Algorithms Research