Ptolemy constant and uniformity
Eero Harmaala, Riku Kl\'en
TL;DR
This paper investigates the Ptolemy constant and uniformity constant across different plane domains such as triangles, quadrilaterals, and ellipses, to understand their geometric properties.
Contribution
It provides a comparative analysis of Ptolemy and uniformity constants in various geometric domains, highlighting their relationships and differences.
Findings
Calculated Ptolemy constants for multiple domain types
Analyzed uniformity constants in different shapes
Identified geometric properties influencing these constants
Abstract
We study Ptolemy constant and uniformity constant in various plane domains including triangles, quadrilaterals and ellipses.
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