An Introduction to Hyperbolic Barycentric Coordinates and their Applications

2013/03/31 by Abraham A. Ungar, Abraham Albert Ungar, Ungar, Abraham Albert
Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Analysis Techniques #Aerospace Engineering and Control Systems #Mathematics and Applications #math-ph #math.MP #msc:51M10 #msc:83A05

paper · pdf · doi:10.48550/arxiv.1304.0205

66 pages, 3 figures

arxiv created 2013/03/31 · arxiv updated 2013/04/02

Abstract

Barycentric coordinates are commonly used in Euclidean geometry. The adaptation of barycentric coordinates for use in hyperbolic geometry gives rise to hyperbolic barycentric coordinates, known as gyrobarycentric coordinates. The aim of this article is to present the road from Einstein's velocity addition law of relativistically admissible velocities to hyperbolic barycentric coordinates along with applications.

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