It is known that the 4-dimensional cube can be triangulated by a set of 16 simplices. This note demonstrates that the 4-dimensional cube cannot be triangulated with fewer than 16 simpiices.
Triangulations for the cube
β Scribed by Patrick Scott Mara
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 384 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
We give a triangulation of the 6-cube into 308 simplices; this is the smallest number in any triangulation of I6 presented so far.
## Abstract Three recursive constructions are presented; two deal with embeddings of complete graphs and one with embeddings of complete tripartite graphs. All three facilitate the construction of 2) nonβisomorphic face 2βcolourable triangulations of __K__~n~ and __K__~__n,n,n__~ in orientable and
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