Journal article

Scissors congruence, the golden ratio and volumes in hyperbolic 5-space

  • Kellerhals, Ruth Department for Mathematics, University of Fribourg, Switzerland
    08.02.2012
Published in:
  • Discrete & Computational Geometry. - 2012, vol. 47, no. 3, p. 629-658
English By different scissors congruence techniques a number of dissection identities are presented between certain quasi-Coxeter polytopes, whose parameters are related to the golden section, and an ideal regular simplex in hyperbolic 5-space. As a consequence, several hyperbolic polyhedral 5-volumes can be computed explicitly in terms of Apéry’s constant ζ(3) and the trilogarithmic value.
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/302454
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