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Gem--Where more that 4 dots exist there can not be an equal relation.
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Couldn't finish my reply earlier so now I'm back. So yes, previously I agreed that, regular tetrahedron is unique, in that its design does not allow for volumetrically diametric lines-of-relationship, because of only having 4 vertices.
I.e. we do not consider volumetric diameters, as you showed within the cube, and all other polyhedra of Universe, except the tetrahedron.
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Not exactly, the inside and outside is an act of distinction (see George Spencer Brown) - the equal relation is not.
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Yeah, any 2D polygon or polyhedron divides the "U"niverse or Universe into two;
...inside the polyhedron,
...outside the polyhedron.
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The shapes I used only represent the equal relation concept. The 4 dot relation just shows that space is an inevitable facet of equal relation.
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Your A dot is beginning and is not exactly equal to B dot ending, because A is beginning and the the B is ending. In actuality/reality that would be two differrent times and two different locations.
An irregular tetrahedron does not follow your "equal relation" concept. Not that your saying it does.
Same goes for irregular triangle not having your meeting your equal relation" criteria.
r6