¶ Spherical Octahedron
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Index Entry
Spherical Octahedron:
“When two force vectors operating in great circle paths inside a sphere impinge on each other at any happenstance angle, that angle has no amplitude stability. But when a third force vector operating in a great circle path crosses the other two spherical great circles, a great-circle-edged triangle is formed with its inherent 180° mirror-image triangle. With successive inside surface caromings and angular intervectpr impingements, the dynamic symmetry imposed by a sphere tends to equalize the angular interrelationship of all those triangle-forming sets of three great circles which, shunting automatically, tend averagingly to reproduce spherically closed symmetrical systems of omnisimilar triangles exactly reproduced in their opposite hemisphere, quarter-spheres, and octa-spheres. This means that if there were only three great circles they would tend swiftly to interstabilize comprehensively as the spherical octahedron all of whose surface angles and arcs (central angles) average as 90°.”
¶ Citations
- SET X, p.12, Aug’72
