Volume formulae for regular hyperbolic cubes

DOI10.1090/S1088-4173-98-00025-3zbMath0892.51016OpenAlexW1510365205MaRDI QIDQ4382914

Timothy H. Marshall

Publication date: 24 March 1998

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-98-00025-3

zbMATH Keywords

volumetriangulationsimplexhyperbolic \(n\)-spaceasymptotic volume formularegular cube

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Length, area and volume in real or complex geometry (51M25) Combinatorial aspects of tessellation and tiling problems (05B45) Helly-type theorems and geometric transversal theory (52A35)

Cites Work

• Simplices of maximal volume in hyperbolic n-space
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