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June 17, 2016

another geometry 2

Filed under: the mathematics of position — Rob @ 5:12 pm

The two overlapping shadows can be modeling two planes. In this case, the two different planes can be 1. the plane of locations( a plane of points with locations as subsets) 2. the plane of locations of locations or placements. Let Placements be fixed relative to each other so that they do not move with the usual plane as background. (for this reason they are given the outside positions)

Since locations can move relative to each other (we have another background since we have another plane) we can have something called a joining. It is two or more locations at the same placement.

We can have a geometry where selected pairs of locations switch by moving through the already existing locations to form joinings.

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