532.40 Three Basic Omnisymmetrical Systems

532.41 There are only three possible cases of fundamental omnisymmetrical, omnitriangulated, least-effort structural systems in nature: the tetrahedron, with three triangles at each vertex; the octahedron, with four triangles at each vertex; and the icosahedron, with five triangles at each vertex. (See Synergetics illus. 610.20. See Sec. 222.21, Systematic Symmetrical Omnidirectional Closest Packing; see Sec. 623, Coordinate Symmetry; see Sec. 632, Dynamic Symmetry of Tetrahedron; see Sec. 1031, Dynamic Symmetry in Omnitopology Change: add refs ).