Hexagonal prism

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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}
Wythoff symbol	2 6 \| 2 2 2 3 \|
Coxeter-Dynkin
Symmetry	D_6h
References	U_76(d)
Dual	Hexagonal dipyramid
Properties	convex, zonohedron
Vertex figure 4.4.6

In geometry, the hexagonal prism is a prism with hexagonal base.

It is an octahedron. However, the term octahedron is mainly used with "regular" in front or implied, hence not meaning a hexagonal prism; in the general meaning the term octahedron it is not much used because there are different types which have not much in common except having the same number of faces.

If faces are all regular, the hexagonal prism is a semiregular polyhedron. This is the fourth in an infinite set of prisms formed by square sides and two regular polygon caps. The shape has eight faces, 18 edges, and 12 vertices. It can also be formed by truncating a hexagonal hosohedron.

As in most prisms, the volume is found by taking the area of the base, with a side length of $a$ , and multiplying it by the height $h$ .

$V = \frac{3 \sqrt{3}}{2}a^2 \times h$