Demitesseractic tetracomb
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| Demitesseractic tetracomb | |
|---|---|
 Perspective projection: the first layer of adjacent 16-cell facets. |
|
| Type | Regular tetracomb |
| Family | Alternated hypercube honeycomb |
| Schläfli symbol | {3,3,4,3} h{4,3,3,4} {31,1,3,4} {31,1,1,1} |
| Coxeter-Dynkin diagram |     
|
| 4-face type | {3,3,4} |
| Cell type | {3,3} |
| Face type | {3} |
| Edge figure | cube |
| Vertex figure | 24-cell |
| Coxeter group | [3,4,3,3] [4,3,31,1] [31,1,1,1] |
| Dual | {3,4,3,3} |
| Properties | vertex-transitive, edge-transitive, face-transitive, cell-transitive |
The demitesseractic tetracomb or hexadecachoric tetracomb is the one of three regular space-filling tessellation (or honeycomb) in Euclidean 4-space. The other two are the tesseractic tetracomb and the icositetrachoronic tetracomb. It is constructed from 16-cell polychoron facets, three around every edge. It has a 24-cell vertex figure.
As a regular honeycomb, {3,3,4,3}, it has no lower dimensional analogues, but as an alternated form, the (demitesseractic tetracomb), h{4,3,3,4}, it is related to the alternated cubic honeycomb.
It is also called a F4 lattice.
[edit] See also
[edit] References
- Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8
- pp. 154-156: Partial truncation or alternation, represented by h prefix: h{4,4}={4,4}; h{4,3,4}={31,1,4}, h{4,3,3,4}={3,3,4,3}, ...
- George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)
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