Stauromesohedron (EntityTopic, 11)
From Hi.gher. Space
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- | The '''stauromesohedron''' is also known as the '''cuboctahedron'''. Of the six uniform mesohedra, it is the only one whose [[ | + | The '''stauromesohedron''' is also known as the '''cuboctahedron'''. Of the six uniform mesohedra, it is the only one whose [[elemental name]] is longer (by one syllable) than its widely accepted name, however it was renamed for consistency. |
<div style='float: left; text-align: center;'><[#embed [hash EKE5JG6N1K5CW7FF9D83PN8Z5Z] [height 150]]><br/>[[Petrie polygon]]</div> | <div style='float: left; text-align: center;'><[#embed [hash EKE5JG6N1K5CW7FF9D83PN8Z5Z] [height 150]]><br/>[[Petrie polygon]]</div> |
Revision as of 14:07, 15 March 2014
The stauromesohedron is also known as the cuboctahedron. Of the six uniform mesohedra, it is the only one whose elemental name is longer (by one syllable) than its widely accepted name, however it was renamed for consistency.
Incidence matrix
Dual: rhombic dodecahedron
# | TXID | Va | Ea | 3a | 4a | Type | Name |
---|---|---|---|---|---|---|---|
0 | Va | = point | ; | ||||
1 | Ea | 2 | = digon | ; | |||
2 | 3a | 3 | 3 | = triangle | ; | ||
3 | 4a | 4 | 4 | = square | ; | ||
4 | C1a | 12 | 24 | 8 | 6 | = stauromesohedron | ; |
Usage as facets
- 8× 1-facets of a D4.11
- 1× 1-facets of a bitrigonal diminished pyrocantichoron
Notable Trishapes | |
Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
Snubs: | snub staurohedron • snub rhodohedron |
Curved: | sphere • torus • cylinder • cone • frustum • crind |