The Geometrical Foundation of Natural Structure: A Source Book of Design

12-connected 3-connected network 4.3.2 symmetry family Angle Subtended Archimedean dual atoms axes B-tetrakaidecahedron BASIC EDGE LENGTHS bubbles capsomers Center of Face Center of Polyhedron circle packing Clathrate Hydrates close-packed close-packed spheres composed Crystal Structures crystallites cuboctahedron deltahedron density Dihedral Angle distorted form Dodecahedron dual polyhedra dual tessellation Edge at Center Edges F entities environment EQUIVALENT POLYHEDRA Euler's Law example Face Angles Faces Vertices Edges Form Language geometric hedra hexagonal interconnected to define interstices Jour lattice layers LENGTH VOLUME 3,3 LENGTHS OF POLYHEDRA Mid-Edge to Center octahedron PACKING COMPONENTS PACKING RATIO Pentagon planar plane poly Polyhedron to Center Polyhedron to Mid-Edge Polyhedron to Vertex prism regular polygons Rhombicuboctahedron Rhombohedron saddle solid shell shown in Figure Small Rhombicuboctahedron sphere centers interconnected sphere packings SUBDIVISIONS INTO EQUIVALENT Surface Area Tetrahedron topological triangles Truncated Cube Truncated Tetrahedron twelve unit cell vertex figures vertex motion Vertex to Center VOLUME FOR BASIC