25.2 "The 25 great circles of the spherical equilibrium provide all the spherical edges for five spherical polyhedra: the tetrahedron, the octahedron, cube, rhombic dodecahedron, and vector equilibrium, whose corresponding planar- faceted polyhedra are all volumetrically rational, even multiples of the tetrahedron. "(I, 454.01)
31.1 "We have now described altogether the 10 great circles generated by the 10 axes of symmetry occurring between the centers of area of the triangular faces; plus 15 axes from the mid-points of the edges; plus six axes from the vertexes....The:31 great circles of the spherical icosahedron provide spherical edges for three other polyhedra in addition to the icosahedron: the rhombic triacontahedron, the octahedron, and the pentagonal dodecahedron."(I, 457.30-40)
48.5 "The isosceles dodecahedron is composed of 48 blue A (Quanta) Modules, 24 of which are introverted....An additional 24 extroverted A (Quanta) nodules ...form the outermost shell..." (I, 942.21)
144.1 The rhombic dodecahedron is composed of 144 energy quanta modules....its two blue layers of 48 A (Quanta) Modules each on the outside enclosing its one nuclear layer of 48 red B (Quanta) Modules." (I. 942.50)
720.3 "What is the significance of the spherical excess of exactly 6 degrees ? In the transformation from the spherical rhombic triacontahedron to the planar triacontahedron each of the 120 triangles releases 6 degrees. 6 x 120 - 720....The difference between a high-frequency polyhedron and its spherical counterpart is always 720 degrees, which is one unit of quantum -- ergo, it is evidenced that spinning a polyhedron into its spherical state captures one quantum of energy -- and releases it when subsiding into its pre-time-size primitive polyhedral state." (II, 986.461)
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