An Introduction to Hyperbolic Barycentric Coordinates and their Applications

Abraham Albert Ungar ()
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Abraham Albert Ungar: North Dakota State University, Department of Mathematics

A chapter in Mathematics Without Boundaries, 2014, pp 577-648 from Springer

Abstract: 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 chapter is to present the road from Einstein’s velocity addition law of relativistically admissible velocities to hyperbolic barycentric coordinates, along with applications.

Keywords: Hyperbolic geometry; Hyperbolic barycentric coordinates; Einstein addition; Lorentz transformation; Relativistic mass; Gyrogroups; Gyrovector spaces; Euclidean isometries; Hyperbolic isometries (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1124-0_18

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DOI: 10.1007/978-1-4939-1124-0_18

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