¶ Vector Equilibrium: Great Circles Of (3)
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Vector Equilibrium: Great Circles Of:
"It is a characteristic of all these great circles of the vector equilibrium that every one of them go through at least two of the 12 vertexes.
"When spheres are closely packed, what do we mean by that? Let us take four billiard balls on a billiard table. We get them as close together as we can, and they could make a square; but they are unstable as a square. Let them rotate a little as ball bearings and they become a diamond; and then they are stable because they consist of two triangles and triangles are stable. I can get three together stably or I can get six-around-one stably, or four as a diamond. They pack in omnitriangulation and that is called closest packing.
“I can get 12 spheres around one omnidirectionally-- six around it in a plane and 12 omnidirectionally. The 12 balls then are in the position of the 12 vertexes of the vector equilibrium where we say all the radii are identical in length. This would be the radii of the spheres. We would have a sphere the same size as the center of the system and its radius would use up half of the radius of the vector equilibrium’s radials. They”
