On hyperbolic Coxeter n-cubes. (January 2017)
- Record Type:
- Journal Article
- Title:
- On hyperbolic Coxeter n-cubes. (January 2017)
- Main Title:
- On hyperbolic Coxeter n-cubes
- Authors:
- Jacquemet, Matthieu
- Abstract:
- Abstract: Besides simplices, n -cubes form an important class of simple polyhedra. Unlike hyperbolic Coxeter simplices, hyperbolic Coxeter n -cubes are not classified. In this work, we first show that there are no Coxeter n -cubes in H n for n ≥ 10 . Then, we show that the ideal ones exist only for n = 2 and 3, and provide a classification. The methods used are of combinatorial and algebraic nature, using properties of a Coxeter graph, its Schläfli matrix, and the Gram matrix of a polyhedron.
- Is Part Of:
- European journal of combinatorics. Volume 59(2017)
- Journal:
- European journal of combinatorics
- Issue:
- Volume 59(2017)
- Issue Display:
- Volume 59, Issue 2017 (2017)
- Year:
- 2017
- Volume:
- 59
- Issue:
- 2017
- Issue Sort Value:
- 2017-0059-2017-0000
- Page Start:
- 192
- Page End:
- 203
- Publication Date:
- 2017-01
- Subjects:
- Combinatorial analysis -- Periodicals
Analyse combinatoire -- Périodiques
Combinatorial analysis
Periodicals
Electronic journals
511.6 - Journal URLs:
- http://www.sciencedirect.com/science/journal/01956698 ↗
http://www.elsevier.com/journals ↗
http://www.idealibrary.com ↗
http://firstsearch.oclc.org ↗
http://firstsearch.oclc.org/journal=0195-6698;screen=info;ECOIP ↗ - DOI:
- 10.1016/j.ejc.2016.08.008 ↗
- Languages:
- English
- ISSNs:
- 0195-6698
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3829.728200
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British Library HMNTS - ELD Digital store - Ingest File:
- 634.xml