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A chiral 5-polytope of full rank
- Source :
- Discrete Mathematics. 344:112370
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- The first chiral polytope of full rank known was Roli’s cube, a rank 4 polytope discovered in 2014. Since then, other chiral polytopes of rank 4 have been studied. Here we present the first known chiral 5-polytope of full rank. Its 2-skeleton is the same as that of the Euclidean tessellation { 3 , 4 , 3 , 3 } with 24-cells.
- Subjects :
- Discrete mathematics
Mathematics::Combinatorics
Tessellation
Rank (linear algebra)
High Energy Physics::Lattice
5-polytope
020206 networking & telecommunications
Polytope
0102 computer and information sciences
02 engineering and technology
01 natural sciences
Theoretical Computer Science
Combinatorics
010201 computation theory & mathematics
Euclidean geometry
0202 electrical engineering, electronic engineering, information engineering
Mathematics::Metric Geometry
Discrete Mathematics and Combinatorics
Cube
Mathematics
Subjects
Details
- ISSN :
- 0012365X
- Volume :
- 344
- Database :
- OpenAIRE
- Journal :
- Discrete Mathematics
- Accession number :
- edsair.doi...........522293d402f264fa5f16540f16e4067a
- Full Text :
- https://doi.org/10.1016/j.disc.2021.112370