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Prismatoid

*** Shopping-Tip: Prismatoid
A '''prismatoid''' is a polyhedron where all vertices lie in two parallel planes. Under some circumstances it is called a ''prismoid'' (if both planes have the same number of elements.) Image:Pentagonal pyramid.png 100px Image:Pentagonal prism.png 100px Image:Pentagonal_antiprism.png 100px Image:Pentagrammic crossed-antiprism.png 100px Image:Pentagonal cupola.png 100px Image:Pentagonal frustum.png 100px Families of prismatoids include: * Pyramid (geometry) Pyramids, where one plane contains only a single point; * Wedge (geometry) Wedges, where one plane contains only two points; * Prism (geometry) Prisms, where the polygons in each plane are congruent and joined by rectangles or parallelograms; * Antiprisms, where the polygons in each plane are congruent and joined by an alternating strip of triangles; * crossed-Antiprisms; * cupola (geometry) Cupolas, where the polygon in one plane contains twice as many points as the other and is joined to it by alternating triangles and rectangles; * Frustum obtained by truncation of a pyramid; * Quadrilateral-faced Hexahedron hexahedral prismatoids: *# Parallelepiped - six parallelogram faces *# Rhombohedron - six rhombus rhombi faces *# Trapezohedron Hexahedral trapezohedron - six congruent rhombus rhombi faces *# Cuboid - six rectangular faces *# frustum Quadrilateral frustum - an apex-truncated square pyramid *# Cube - six square faces

External links

- http://mathworld.wolfram.com/Prismatoid.html {{geometry-stub}} category:polyhedra Category:Prismatoid polyhedra de:Prismatoid pl:Pryzmatoid