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Updated: May 26, 2025
America forms the longest and straightest bone in the earth's skeleton. The skeleton consists of six great bones, which may be said to form a spheroidal tetrahedron, or pyramid with a triangular base, for when a globe with a fairly rigid surface collapses because of shrinkage, it tends to assume this form. That is what has happened to the earth.
Right and left of us the spindle split into scores of fissures. Between these fissures the Metal Things that made up each now dissociate and shapeless mass geysered; block and sphere and tetrahedron spike spun and swirled. There was an instant of formlessness. Then right and left of us stood scores of giant, grotesque warriors. Their crests were fully fifty feet below our living platform.
Other sages adhered to the mathematical system of squares and triangles; the cube, the pyramid, and the sphere; the tetrahedron, the octahedron, the icosahedron, and the dodecahedron.
"The earth is the sphere, the measure of all; round it describe a dodecahedron; the sphere including this will be Mars. Round Mars describe a tetrahedron; the sphere including this will be Jupiter. Describe a cube round Jupiter; the sphere including this will be Saturn.
There sighed from behind a soft, sustained wailing; rapidly it neared us. A wanly glimmering shape drew by; halted. It was like a rigid serpent cut from a gigantic square bar of cold blue steel. Its head was a pyramid, a tetrahedron; its length vanished in the further darkness.
There were characters in Nansalese at each point of the tetrahedron, and other characters engraved in a circle around it. Arcot turned it in his hand. On the back was a representation of the Nansalian planetary system. The center was a pale yellow, highly-faceted stone which represented the sun.
The still more marked backwardness of Australia with its kangaroos and duck-billed platypuses shows how much greater is the retardation when a continent is also small and isolated. Today, no less than in the past, the tetrahedral form of the earth and the relation of the tetrahedron to the poles and to the equator preserve the conditions that favor rapid evolution.
The wildest streaks of marestail clouds in the sky, or the most irregular heavenly nebulae, have surely just as much form as a geometrical tetrahedron; and as for "void," how can that be void which is full of matter?
In the center of the open rectangle was another shaft, its top a two-foot square plate formed of a single cube. From the sides of the hollow square sprang long arms of spheres, each tipped by a tetrahedron.
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