Platonic & Archimedean SolidsWhereas Sacred Geometry introduced readers to twodimensional 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 threedimensional 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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Review: Platonic & Archimedean Solids
User Review  Ellen Martens  GoodreadsI read this but cannot claim to have completely grasped the concepts. Read full review
Review: Platonic & Archimedean Solids
User Review  GoodreadsI read this but cannot claim to have completely grasped the concepts. Read full review
Contents
Introduction  1 
A Short Proof  14 
The Kepler Polyhedra  28 
Four Explosions  42 
Expansions and Formulas  55 
Common terms and phrases
12 edges 2fold face 3fold from vertex 30 edges ARCHIMEDEAN DUALS axes passing axial diagonals beautiful forms bottom left bottom right circumradius circumsphere compound of ﬁve compound polyhedra cube’s cuboctahedron dihedral dodecahedron has twelve Dual pairs edge length edge midpoints equal equilateral triangles face centers ﬁrst ﬁve cubes ﬁve Platonic solids geodesic give the compound golden ratio half turn hedron Icos icosahedral symmetry icosidodecahedron identical vertices illustrated opposite inradius insphere interior diagonals ISBN jitterbug Joining Kepler known laevo lesser circles midsphere mirror planes octagonal octahedra octahedral symmetry pentagram PLATONIC &ARCHIMEDEAN SOLIDS polyhedra shown polyhedron Polytopes radial projection rectangle regular polygon regular solids rhombic dodecahedron rhombicosidodecahedron rhombicuboctahedron snub cube snub dodecahedron solid angle sphere spherical square faces structure tesseract thirteen Archimedean solids top right triangular atom triangular faces truncated cube truncated dodecahedron truncated icosahedron truncated octahedron truncated solids truncated tetrahedron twelve pentagonal twenty type of face