Why hypercube computer technology will become obsolete Consider an n-dimensional hypercube of edge length 4 which contains hyperspheres of unit radius which are tightly-packed so that two adjacent hyperspheres touch each other. A 32-node binary hypercube network. The distance from the centers of the hyperspheres to the center of the bounding n-dimensional hypercube is . Consequently, for dimensional hypercubes, the hypersphere tightly-packed into the hole at the center of the sphere-packed hypercube will not touch the bounding hypercube. For n=9, the hypersphere will touch the bounding hypercube. For , the hypersphere tightly-packed into the huge hole at the center of the sphere-packed hypercube will protrude outside the bounding hypercube. The 2048 processing nodes of the Connection Machine are interconnected in a hypercube topology with each node containing 32 processing elements. Click on photograph. The latter results demonstrate that the packing density of sphere-packed hypercubes continuously decreases as the dimensionality increases. Philip Emeagwali discovered that sphere packing and hypercube technology are related fields. Click on emeagwali.com for more information. ©1997. EMEAGWALI.com. All rights reserved.