Prismatoid
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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.)
Families of prismatoids include:
- Pyramids, where one plane contains only a single point;
- Wedges, where one plane contains only two points;
- 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;
- 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;
- Frusta obtained by truncation of a pyramid;
- Quadrilateral-faced hexahedral prismatoids:
- Parallelepipeds - six parallelogram faces
- Rhombohedrons - six rhombi faces
- Hexahedral trapezohedra - six congruent rhombi faces
- Cuboids - six rectangular faces
- Quadrilateral frusta - an apex-truncated square pyramid
- Cubes - six square faces