Hexagonal prism
In geometry, the hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices.
| Uniform hexagonal prism | |
|---|---|
| Type | Prismatic uniform polyhedron |
| Elements | F = 8, E = 18, V = 12 (χ = 2) |
| Faces by sides | 6{4}+2{6} |
| Schläfli symbol | t{2,6} or {6}×{} |
| Wythoff symbol | 2 6 | 2 2 2 3 | |
| Coxeter diagrams | |
| Symmetry | D6h, [6,2], (*622), order 24 |
| Rotation group | D6, [6,2]+, (622), order 12 |
| References | U76(d) |
| Dual | Hexagonal dipyramid |
| Properties | convex, zonohedron |
Vertex figure 4.4.6 | |
Since it has 8 faces, it is an octahedron. However, the term octahedron is primarily used to refer to the regular octahedron, which has eight triangular faces. Because of the ambiguity of the term octahedron and tilarity of the various eight-sided figures, the term is rarely used without clarification.
Before sharpening, many pencils take the shape of a long hexagonal prism.
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