Sets of tetrahedra, defined by maxima of distance functions
Jo\"el Rouyer, Costin V\^ilcu
TL;DR
This paper investigates the properties of tetrahedra by analyzing their local and global maxima of intrinsic distance functions, providing new insights into their geometric structure.
Contribution
It introduces a novel approach to studying tetrahedra through the lens of maxima of intrinsic distance functions, revealing new geometric characteristics.
Findings
Characterization of maxima of intrinsic distance functions on tetrahedra
Insights into the geometric structure of tetrahedra
Potential applications in geometric analysis and modeling
Abstract
We study tetrahedra and the space of tetrahedra from the viewpoint of local and global maxima for intrinsic distance functions.
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Taxonomy
TopicsComputational Geometry and Mesh Generation · Robotic Path Planning Algorithms · Advanced Numerical Analysis Techniques