English

An Introduction to Hyperbolic Barycentric Coordinates and their Applications

Mathematical Physics 2013-04-02 v1 math.MP

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.

Cite

@article{arxiv.1304.0205,
  title  = {An Introduction to Hyperbolic Barycentric Coordinates and their Applications},
  author = {Abraham Albert Ungar},
  journal= {arXiv preprint arXiv:1304.0205},
  year   = {2013}
}

Comments

66 pages, 3 figures

R2 v1 2026-06-21T23:51:09.318Z