¶ Vector Equilibrium: Zero Tetrahedron (1)
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Vector Equilibrium: Zero Tetrahedron:
"There is something I would like to speak about in regard to vector equilibrium and tetrahedron. I spoke yesterday about a rather extraordinary realization that in looking at a tetrahedron we say, I see there are three around any one vertex: there are three faces and three edges in beautiful synchronization and we say that all looks simple and logical. Then we find it rather surprising because we find that the inventory of three faces came out of an inventory of four total that are available in the tetrahedron. And the inventory of three edges came out of an inventory of six that are available. So that the sixness and fourness were very different inventories. Somehow around any one vertex nature had arranged to put them in neat balance of different inventories.
“Consider the case I spoke of one time of the cheese tetrahedron as pushing one of the faces towards the opposite vertex. I am not going to talk about it as a cheese now, but for a moment we will think of it just as a plane. As the top plane of this tetrahedron-- I am going to move it (the plane) towards this opposite vertex. Finally I move it until it is congruent with”
