Scissors congruence, the golden ratio and volumes in hyperbolic 5-space
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Kellerhals, Ruth
Department for Mathematics, University of Fribourg, Switzerland
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.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Mathématiques
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Language
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Classification
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Mathematics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/302454
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