¶ Prime Structural Systems (1)
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Index Entry
Prime Structural Systems:
“A structure divides Universe into two main parts-- al the Universe that is inside and all the rest of the Universe which is outside of the structural system. We find that there are only three types of fundamental omnitriangular, symmetrical structural systems. We can have three triangles around each vertex of a symmetrical structure; this makes a regular tetrahedron. Or we can have four triangles around each vertex; this makes the regular octahedron. Finally we can have five triangles around each vertex which makes the icosahedron. The tetrahedron, octahedron, and icosahedron, are made up respectively of one, two, and five pairs of positively and negatively functioning open triangles. We cannot have six symmetrical or equilateral triangles around each vertex because the angles add up to 360⁰ – thus forming an infinite edgeless plane. The structural system with six equilaterals around each vertex never comes back upon itself. It can have no withinness and withoutness. It cannot be constructed with pairs of positive-negative function open triangles. In order to have a structural system it must return upon itself in all directions. If the system’s openings are all triangulated it is structured with minimum effort.”
¶ Citations
- Mexico '63, p. 27. 10 Oct’63
