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An Introduction to Hyperbolic Barycentric Coordinates and their Applications

In: Mathematics Without Boundaries

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  • Abraham Albert Ungar

    (North Dakota State University, Department of Mathematics)

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.

Suggested Citation

  • Abraham Albert Ungar, 2014. "An Introduction to Hyperbolic Barycentric Coordinates and their Applications," Springer Books, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Mathematics Without Boundaries, edition 127, pages 577-648, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-1124-0_18
    DOI: 10.1007/978-1-4939-1124-0_18
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