Quote:
Originally Posted by whswhs
My geometric intuition is that as the number of sides of the polyhedron goes to aleph sub null, the area of each side goes to 0, and so does the length of the boundary of each side. So it seems as if all the sides would be geometrically identical. In effect, each would be a geometric point. That seems to be a sort of regular polyhedron; you would lose the irregularities in taking the sidedness to aleph sub null.
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The degenerate case of a point is not aleph-null -- the number of points on a surface is the same cardinality as the set of real numbers.