The Inradius of a Hyperbolic Truncated $$n$$-Simplex
- Jacquemet, Matthieu Département de Mathématiques, Université de Fribourg, Switzerland
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01.06.2014
Published in:
- Discrete & Computational Geometry. - 2014, vol. 51, no. 4, p. 997-1016
English
Hyperbolic truncated simplices are polyhedra bounded by at most $$2n+2$$hyperplanes in hyperbolic $$n$$-space. They provide important models in the context of hyperbolic space forms of small volume. In this work, we derive an explicit formula for their inradius by algebraic means and by using the concept of reduced Gram matrix. As an illustration, we discuss implications for some polyhedra related to small volume arithmetic orientable hyperbolic orbifolds.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 211438
- DOI 10.1007/s00454-014-9600-y
- Persistent URL
- https://folia.unifr.ch/unifr/documents/303763
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