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PreprintCC BY 4.0arXiv

A note on right-angled, ideal hyperbolic polyhedra

Abstract

We prove a necessary and sufficient condition for an abstract polyhedron Π to be realized as a right-angled, ideal polyhedron in hyperbolic space.

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BibTeX
@misc{whitehead2026note,
  title = {{A note on right-angled, ideal hyperbolic polyhedra}},
  author = {Ian Whitehead},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05389},
  eprint = {2609.05389},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05389},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A note on right-angled, ideal hyperbolic polyhedra
AU  - Ian Whitehead
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05389
UR  - https://arxiv.org/abs/2609.05389
AB  - We prove a necessary and sufficient condition for an abstract polyhedron Π to be realized as a right-angled, ideal polyhedron in hyperbolic space.
ER  -