Name: A Generalized Face Number for Regular Hyperbolic Honeycombs
Creator: Robert J. MacG. Dawson
Keywords: divergent series, formal summation, generalized face number, Polyhedra and polytopes; regular figures, division of spaces, hyperbolic honeycomb, 0101 mathematics, 01 natural sciences

A generalized face number for regular hyperbolic honeycombs

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2000 English Publisher:Springer Science and Business Media LLCJournal:Geometriae Dedicata, volume 80, pages 297-309 (issn: 0046-5755, eissn: 1572-9168,

Authors: Robert J. MacG. Dawson;

doi: 10.1023/a:1005219522827

A Generalized Face Number for Regular Hyperbolic Honeycombs

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Abstract

A generalized face number, typically taking negative rational values for a regular hyperbolic honeycomb, is constructed in three different ways -- via differential geometry, combinatorics, and divergent series.

Related Organizations

Saint Mary's University
Canada

Keywords

divergent series, formal summation, generalized face number, Polyhedra and polytopes; regular figures, division of spaces, hyperbolic honeycomb

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