Prismatoid: Difference between revisions
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*[[antiprism]]s, where the two planes contain the same polygon, with each vertex of the polygon connected to two adjacent vertices on the opposite polygon, creating twice as many triangular faces as there are edges of the polygon end face | *[[antiprism]]s, where the two planes contain the same polygon, with each vertex of the polygon connected to two adjacent vertices on the opposite polygon, creating twice as many triangular faces as there are edges of the polygon end face | ||
*[[cupola (geometry)|cupolas]], where one plane contains a polygon with twice as many vertices as the other plane, and the faces connecting the two planes alternate between triangles and rectangles | *[[cupola (geometry)|cupolas]], where one plane contains a polygon with twice as many vertices as the other plane, and the faces connecting the two planes alternate between triangles and rectangles | ||
*[[frustum|frusta]], truncated pyramids | *[[frustum|frusta]], truncated pyramids[[Category:Suggestion Bot Tag]] | ||
Latest revision as of 06:01, 7 October 2024
A prismatoid is a polyhedron where all the vertices lie in two parallel planes.
The family of prismatoids includes:
- pyramids, where one plane contains only one vertex
- wedges, where one plane contains two vertices
- prisms, where the two planes contain the same polygon oriented in the same direction, and connected with parallelograms
- antiprisms, where the two planes contain the same polygon, with each vertex of the polygon connected to two adjacent vertices on the opposite polygon, creating twice as many triangular faces as there are edges of the polygon end face
- cupolas, where one plane contains a polygon with twice as many vertices as the other plane, and the faces connecting the two planes alternate between triangles and rectangles
- frusta, truncated pyramids