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In geometry, the hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices. [ 1] 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 ...
Prism (geometry) In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
Hexagonal crystal family. In the hexagonal family, the crystal is conventionally described by a right rhombic prism unit cell with two equal axes ( a by a ), an included angle of 120° ( γ) and a height ( c, which can be different from a) perpendicular to the two base axes. The hexagonal unit cell for the rhombohedral Bravais lattice is the R ...
a polyhedron with six faces ( hexahedron ), each of which is a parallelogram, and. a prism of which the base is a parallelogram. The rectangular cuboid (six rectangular faces), cube (six square faces), and the rhombohedron (six rhombus faces) are all specific cases of parallelepiped. "Parallelepiped" is now usually pronounced ...
In crystallography, the monoclinic crystal system is one of the seven crystal systems. A crystal system is described by three vectors. In the monoclinic system, the crystal is described by vectors of unequal lengths, as in the orthorhombic system. They form a parallelogram prism. Hence two pairs of vectors are perpendicular (meet at right ...
In geometry, an n-gonal antiprism or n-antiprism is a polyhedron composed of two parallel direct copies (not mirror images) of an n-sided polygon, connected by an alternating band of 2n triangles. They are represented by the Conway notation An . Antiprisms are a subclass of prismatoids, and are a (degenerate) type of snub polyhedron.
The Wigner–Seitz cell of the primitive hexagonal lattice is the hexagonal prism. In mathematics, it is known as the hexagonal prismatic honeycomb . The shape of the Wigner–Seitz cell for any Bravais lattice takes the form of one of the 24 Voronoi polyhedra.
The rhombic dodecahedron is a zonohedron. [ 1] Its polyhedral dual is the cuboctahedron. The long face-diagonal length is exactly √ 2 times the short face-diagonal length; thus, the acute angles on each face measure arccos ( 1 3 ), or approximately 70.53°. Being the dual of an Archimedean polyhedron, the rhombic dodecahedron is face ...