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Prismatoid

A prismatoid is a polyhedron where all vertices lie in two parallel planes. Under some circumstances I forget it is called a prismoid. Some particular families of prismatoids:

  • 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;
  • Frustrums, where the polygons are similar and joined by trapezoids;
  • Pyramids, where one plane contains only a single point;
  • 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.

Referenced By

List of geometry topics | List of mathematical topics (P-R)

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Prismatoid".

 

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