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Home > Art, Film & Photography > Archimedean Solids: Archimedean Solid, Cuboctahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Icosahedron, Truncated Octahedron
Archimedean Solids: Archimedean Solid, Cuboctahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Icosahedron, Truncated Octahedron

Archimedean Solids: Archimedean Solid, Cuboctahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Icosahedron, Truncated Octahedron


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About the Book

Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Archimedean Solid, Cuboctahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Icosahedron, Truncated Octahedron, Rhombicosidodecahedron, Truncated Icosidodecahedron, Snub Cube, Truncated Cuboctahedron, Snub Dodecahedron, Truncated Dodecahedron, Truncated Cube, Truncated Tetrahedron. Excerpt: Archimedean solid In geometry an Archimedean solid is a highly symmetric, semi-regular convex polyhedron composed of two or more types of regular polygons meeting in identical vertices . They are distinct from the Platonic solids, which are composed of only one type of polygon meeting in identical vertices, and from the Johnson solids, whose regular polygonal faces do not meet in identical vertices. The symmetry of the Archimedean solids excludes the members of the dihedral group, the prisms and antiprisms . The Archimedean solids can all be made via Wythoff constructions from the Platonic solids with tetrahedral, octahedral and icosahedral symmetry . Origin of name The Archimedean solids take their name from Archimedes, who discussed them in a now-lost work. During the Renaissance, artists and mathematicians valued pure forms and rediscovered all of these forms. This search was completed around 1620 by Johannes Kepler, who defined prisms, antiprisms, and the non-convex solids known as the Kepler-Poinsot polyhedra . Classification There are 13 Archimedean solids (15 if the mirror images of two enantiomorphs, see below, are counted separately). Here the vertex configuration refers to the type of regular polygons that meet at any given vertex. For example, a vertex configuration of (4,6,8) means that a square, hexagon, and octagon meet at a vertex (with the order taken to be clockwise around the vertex). Name (Vertex configuration ): Transparent: Solid: Net: Faces: Edges: V...


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Product Details
  • ISBN-13: 9781155612690
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Archimedean Solid, Cuboctahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Icosahedron, Truncated Octahedron
  • Width: 229 mm
  • ISBN-10: 1155612698
  • Publisher Date: 05 May 2010
  • Binding: Paperback
  • Spine Width: 4 mm
  • Weight: 113 gr


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