A generalization of Andreev's Theorem
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- Díaz Raquel
- Dpto. Geometría y Topología, Fac. CC. Matemáticas, Universidad Complutense
Bibliographic Information
- Other Title
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- generalization of Andreev s Theorem
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Abstract
Andreev's Theorem studies the existence of compact hyperbolic polyhedra of a given combinatorial type and given dihedral angles, all of them acute. In this paper we consider the same problem but without any restriction on the dihedral angles. We solve it for the descendants of the tetrahedron, i.e. those polyhedra that can be obtained from the tetrahedron by successively truncating vertices; for instance, the first of them is the triangular prism.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 58 (2), 333-349, 2006
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390001205116533632
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- NII Article ID
- 10018381226
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 2228562
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- NDL BIB ID
- 7892076
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed