Platonic & Archimedean SolidsBloomsbury Publishing USA, 1 abr 2002 - 58 páginas Whereas Sacred Geometry introduced readers to two-dimensional forms, Platonic & Archimedean Solids presents the world of three dimensions, which was understood as early as neolithic time. Daud Sutton elegantly explores the eighteen forms-from the cube to the octahedron and icosidodecahedron-that are the universal building blocks of three-dimensional space, and shows the fascinating relationships between them. For anyone interested in design, architecture, and mathematics, this will be a delight. |
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12 edges 2-fold face 3-fold axes 3-fold from vertex 30 edges ARCHIMEDEAN DUALS Archimedean solids axes passing axial diagonals bottom left bottom right circumradius circumsphere compound of five compound polyhedra Cube Oct cube truncated cube's cuboctahedron define dodecahedron has twelve Dodecahedron Icos Dual pairs edge length edge midpoints equal equilateral triangles face centers five cubes five Platonic solids FIVE TRUNCATIONS four give the compound golden ratio half turn hedron hexagons icosahedral symmetry Icosahedron Icos icosidodecahedron identical vertices illustrated opposite inradius insphere interior diagonals ISBN Joining known laevo lesser circles midradius midsphere mirror planes octagonal octahedra octahedral symmetry Platonic solids POINSOT POLYHEDRA polyhedra shown polyhedron Polytopes radial projection rectangle regular polygon rhombic dodecahedron rhombic triacontahedron rhombicosidodecahedron rhombicuboctahedron semiregular snub cube snub dodecahedron solid angle space sphere spherical tesseract tetrahedron octahedron thirteen Archimedean solids triangular faces truncated cube truncated icosahedron truncated octahedron truncated solids truncated tetrahedron twelve pentagonal