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Explore

  • Geometric Models-Regular-Faced Convex Polyhedra
  • Platonic Solids
  • Archimedean Solids, Prisms, and Antiprisms
  • Johnson Solids
  • References

Geometric Models

Archimedean Solids, Prisms, and Antiprisms

American History Museum

The term semiregular is used to describe polyhedra that are uniform but not regular. The semiregular convex polyhedra include thirteen solids associated with another ancient mathematician, Archimedes. He lived after Euclid and worked in Syracuse on the Mediterranean island of Sicily. These objects are called Archimedean solids. There also are an infinite number of semiregular prisms. These have like regular polygons on the top and bottom and straight lines joining the vertices of these to form the square sides. A second infinite group of semiregular solids are called antiprisms. These also have like polygons for top and bottom, but twisted so that each vertex of one polygon is joined to two vertices of the other to form an equilateral triangle.


Polyhedron Model by Martin Berman, Cuboctahedron

Polyhedron Model by Martin Berman, Icosododecahedron

Polyhedron Model by Martin Berman, Truncated Tetrahedron

Polyhedron Model by Martin Berman,Truncated Octahedron

Polyhedron Model by Martin Berman,Truncated Cube

Polyhedron Model by Michael Berman, Truncated Icosahedron

Polyhedron Model by Michael Berman,Truncated Dodecahedron

Polyhedron Model by Martin Berman, Rhombicuboctahedron

Polyhedron Model by Martin Berman, Rhombicosidodecahedron

Polyhedron Model by Martin Berman, Truncated Cuboctahedron

Polyhedron Model by Martin Berman, Truncated Icosidodecahedron

Polyhedron Model by Martin Berman, Snub Cuboctahedron

Polyhedron Model by Martin Berman, Snub Icosidodecahedron

Polyhedron Model by Martin Berman, Trigonal Prism

Polyhedron Model by Martin Berman, Quadragonal Antiprism

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