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Rhombi Archimedean Solids The Rhombicuboctahedron and the Rhombicosidodecahedron There are two archimedeans call the rhombicuboctahedron and the rhombicosidodecahedron. These two are sometimes called the small rhombi-cuboctahedron and the small rhombi-icosidodecahedron so as to distinguish them from two others in the fourth group, the great rhombicuboctahedron and the great rhombicosidodecahedron (truncated quasi-regulars).
The Rhombicuboctahedron
4,4,4,3 The name of this polyhedron indicates its nature and its origin. The four squares surrounded by other squares lie in the facial planes of a cube and the triangle lies on the facial planes of an octahedron. The term rhombi indicates that some of the faces (twelve in this case) are in the planes of the rhombidodecahedron (a much more complex polyhedron).
The Rhombicosidodecahedron
4,3,4,5 Some believe that this polyhedron is the most attractive of the archimedeans solids. I suppose, this attractiveness stems from the fact that the formation of the vertices entails faces from a pentagon, cube, triangle and a cube again coming together at these points. The variety of faces adds to the attractiveness of the solid. If you look at it another way each pentagonal face is surrounded by a square at its edges with a triangle filling the space between each square. |
Table of Contents
Polyhedra & Spherical Geometry Spherical Projection of the Cube
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