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3D model of a uniform 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. [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
The smallest polyhedron is the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices. Named polyhedra primarily come from the families of platonic solids , Archimedean solids , Catalan solids , and Johnson solids , as well as dihedral symmetry families including the pyramids , bipyramids , prisms , antiprisms , and trapezohedrons .
This is left blank for non-orientable polyhedra and hemipolyhedra (polyhedra with faces passing through their centers), for which the density is not well-defined. Note on Vertex figure images: The white polygon lines represent the "vertex figure" polygon. The colored faces are included on the vertex figure images help see their relations.
An oblique prism is a prism in which the joining edges and faces are not perpendicular to the base faces. Example: a parallelepiped is an oblique prism whose base is a parallelogram, or equivalently a polyhedron with six parallelogram faces. Right Prism. A right prism is a prism in which the joining edges and faces are perpendicular to the base ...
A hexahedron with three pairs of parallel faces; A prism of which the base is a parallelogram; Rhombohedron: A parallelepiped where all edges are the same length; A cube, except that its faces are not squares but rhombi; Cuboid: A convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube [4]
Tetradecahedra having all regular polygonal faces (all exist in irregular-faced forms as well): Archimedean solids: Cuboctahedron (8 triangles, 6 squares) Truncated cube (8 triangles, 6 octagons) Truncated octahedron (6 squares, 8 hexagons) Prisms and antiprisms: Dodecagonal prism (12 squares, 2 dodecagons) Hexagonal antiprism (12 triangles, 2 ...
The remaining hexagonal prisms are projected to 12 non-regular hexagonal prism images, lying where a cube's edges would be. Each image corresponds to two cells. Finally, the 8 volumes between the hexagonal faces of the projection envelope and the hexagonal faces of the central truncated cuboctahedron are the images of the 16 truncated octahedra ...
Some of the polyhedrons do have eight faces aside from being square bipyramids in the following: Hexagonal prism: Two faces are parallel regular hexagons; six squares link corresponding pairs of hexagon edges. Heptagonal pyramid: One face is a heptagon (usually regular), and the remaining seven faces are triangles (usually isosceles). All ...