FACTOID # 48: Many Americans live alone - the United States leads the world in one person households.
 
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Encyclopedia > Prismatoid


A prismatoid is a polyhedron where all vertices lie in two parallel planes. Under some circumstances 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;
  • Frustums, 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.

  Results from FactBites:
 
Earliest Known Uses of Some of the Words of Mathematics (P) (13956 words)
PRISMATOID (as a geometric figure) occurs in the title Das Prismatoid, by Th.
Prismatoid is found in English in 1881 in Metrical geometry.
A prismatoid is a polyhedron whose bases are any two polygons in parallel planes, and whose lateral faces are determined by so joining the vertices of these bases that each line in order forms a triangle with the preceding line and one side of either base.
  More results at FactBites »


 

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