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An Introduction to Hyperbolic Barycentric Coordinates and their Applications

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Mathematics Without Boundaries

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, North Dakota State University, Fargo, ND, 58108, USA

    Abraham Albert Ungar

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  1. Abraham Albert Ungar
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Correspondence to Abraham Albert Ungar .

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Editors and Affiliations

  1. Dept. Industrial & Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Ungar, A.A. (2014). An Introduction to Hyperbolic Barycentric Coordinates and their Applications. In: Pardalos, P., Rassias, T. (eds) Mathematics Without Boundaries. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-1124-0_18

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