Octagonal prism (EntityTopic, 16)
From Hi.gher. Space
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| dim=3 | | dim=3 | ||
| elements=10, 24, 16 | | elements=10, 24, 16 | ||
| + | | sym=[[Bistauroprismatic symmetry|D<sub>8h</sub>]] | ||
| genus=0 | | genus=0 | ||
| ssc=[G8x] | | ssc=[G8x] | ||
Latest revision as of 22:13, 2 March 2014
Equations
- The hypervolumes of an octagonal prism with side length l are given by:
total edge length = 24l
surface area = l2 · 2(5 + √2)
volume = l3 · 2(1 + √2)
Incidence matrix
Dual: octagonal bipyramid
| # | TXID | Va | Ea | Eb | 4a | 8a | Type | Name |
|---|---|---|---|---|---|---|---|---|
| 0 | Va | = point | ; | |||||
| 1 | Ea | 2 | = digon | ; | ||||
| 2 | Eb | 2 | = digon | ; | ||||
| 3 | 4a | 4 | 2 | 2 | = square | ; | ||
| 4 | 8a | 8 | 0 | 8 | = base of prism: octagon | ; | ||
| 5 | C1a | 16 | 8 | 16 | 8 | 2 | = octagonal prism | ; |
Usage as facets
This polytope does not currently appear as facets in any higher-dimensional polytopes in the database.
| 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 |
