Octagonal prism (EntityTopic, 16)
From Hi.gher. Space
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== Equations == | == Equations == | ||
*The [[hypervolume]]s of an octagonal prism with side length ''l'' are given by: | *The [[hypervolume]]s of an octagonal prism with side length ''l'' are given by: | ||
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surface area = ''l''<sup>2</sup> · 2(5 + √2)<br> | surface area = ''l''<sup>2</sup> · 2(5 + √2)<br> | ||
volume = ''l''<sup>3</sup> · 2(1 + √2)</blockquote> | volume = ''l''<sup>3</sup> · 2(1 + √2)</blockquote> | ||
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{{Polyhedra}} | {{Polyhedra}} | ||
Revision as of 22:34, 16 February 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 |
