Geometric Models-Regular-Faced Convex Polyhedra -- Archimedean Solids, Prisms, and Antiprisms
Archimedean Solids, Prisms, and Antiprisms
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.
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Polyhedron Model by Martin Berman, Cuboctahedron
- Description
- The faces of the model are eight equilateral triangles and six squares.
- For information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.006
- accession number
- 1978.1065
- catalog number
- 1978.1065.006
- Data Source
- National Museum of American History
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Polyhedron Model by Martin Berman, Icosododecahedron
- Description
- The faces of the model are twenty equilateral triangles and twelve regular pentagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.007
- accession number
- 1978.1065
- catalog number
- 1978.1065.007
- Data Source
- National Museum of American History
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Polyhedron Model by Martin Berman, Truncated Tetrahedron
- Description
- The faces of the model are four equilateral triangles and four regular hexagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.008
- accession number
- 1978.1065
- catalog number
- 1978.1065.008
- Data Source
- National Museum of American History
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Polyhedron Model by Martin Berman,Truncated Octahedron
- Description
- The faces of the model are six squares and eight regular hexagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.009
- accession number
- 1978.1065
- catalog number
- 1978.1065.009
- Data Source
- National Museum of American History
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Polyhedron Model by Martin Berman,Truncated Cube
- Description
- The faces of the model are eight equilateral triangles and six regular octagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.010
- accession number
- 1978.1065
- catalog number
- 1978.1065.010
- Data Source
- National Museum of American History
-
Polyhedron Model by Michael Berman, Truncated Icosahedron
- Description
- The faces of the model are twelve regular pentagons and twenty regular hexagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.011
- accession number
- 1978.1065
- catalog number
- 1978.1065.011
- Data Source
- National Museum of American History
-
Polyhedron Model by Michael Berman,Truncated Dodecahedron
- Description
- The faces of the model are twenty equilateral triangles and twelve regular decagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.012
- accession number
- 1978.1065
- catalog number
- 1978.1065.012
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Rhombicuboctahedron
- Description
- The faces of the model are eight equilateral triangles andeighteen squares.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.013
- accession number
- 1978.1065
- catalog number
- 1978.1065.013
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Rhombicosidodecahedron
- Description
- The faces of the model are twenty equilateral triangles, thirty squares, and twelve regular pentagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.014
- accession number
- 1978.1065
- catalog number
- 1978.1065.014
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Truncated Cuboctahedron
- Description
- The faces of the model are twelve squares, eight regular hexagons, and six regular octagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.015
- accession number
- 1978.1065
- catalog number
- 1978.1065.015
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Truncated Icosidodecahedron
- Description
- The faces of the model are thirty squares, twenty regular pentagons, and twelve regular decagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.016
- accession number
- 1978.1065
- catalog number
- 1978.1065.016
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Snub Cuboctahedron
- Description
- The faces of the model are thirty-two equilateral triangles and six squares.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.017
- accession number
- 1978.1065
- catalog number
- 1978.1065.017
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Snub Icosidodecahedron
- Description
- The faces of the model are eighty equilateral triangles and twelve regular pentagons.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.018
- accession number
- 1978.1065
- catalog number
- 1978.1065.018
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Trigonal Prism
- Description
- Two faces of this model are equlateral triangles and three are squares. It is one of an infinite family of regular-faced prisms.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.019
- accession number
- 1978.1065
- catalog number
- 1978.1065.019
- Data Source
- National Museum of American History
-
Polyhedron Model by Martin Berman, Quadragonal Antiprism
- Description
- The faces of the model are squares on top and bottom and eight equilateral triangles around the sides. It is one of an infinite family of regular-faced antiprisms.
- For further information about Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
- Location
- Currently not on view
- date made
- 1970
- maker
- Berman, Martin
- ID Number
- 1978.1065.020
- accession number
- 1978.1065
- catalog number
- 1978.1065.020
- Data Source
- National Museum of American History
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