Work

On knot complements that decompose into regular ideal dodecahedra

Year: 2012

Type: article

Abstract: Aitchison and Rubinstein constructed two knot complements that can be decomposed into two regular ideal dodecahedra. This paper shows that these knot complements are the only knot complements that decompose into n regular ideal dodecahedra, providing a partial solution to a conjecture of Neumann and Reid.

Source: SHAREOK (University of Oklahoma; Oklahoma State University; Central Oklahoma University)

DOI: 10.48550/arxiv.1209.1004

Author: Hoffman, Neil

Institution: The University of Melbourne

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950005182

FWCI:

Cites: 5

Cited by:

Related to: 20