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Re: Tuesday, March 4, 2003
> "...the idea of describing the end-to-endedness of the Net as a 3-D zero ? a hollow sphere ... I explained how Craig Burton says a hollow sphere is the the only geometry that describes a world of nothing but ends." The geometry of high dimensional spaces (hypersphere) seems an even closer fit: "...the startlingly unfamiliar fact that in a high dimensional space, with respect to any given point in the space, the vast majority of the rest of the points in the space lie on the surface of a hyper sphere. Further, Lawrence's Fundamental Theorem shows clearly that in real, bounded spaces, most points are essentially equidistant!" [ http://www.lt.com/Penz_Paper1.pdf ]
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