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Scientific American, Vol. 101, No. 1 (July 1909) (1909)

leaf 4

An illustration from Scientific American, Vol. 101, No. 1 (July 1909), 1909, leaf 4
g, re- Just as portions of our space are bounded by sur- an Infinite number of curved 3-spaces or hypersurfaces ~-Sort- must be had to analogy with dimensions of a faces, plane or curved, so portions o,f hyperspace are of different types. A hypersphere, for instance, is a lower order. bounded by… … which that 3-space forms a boundary of an infinitely (1, 2, 3, 4, 5, 6, 7, 8), (5, 6, 7, 8, 9, 10, 11, 12), (9, 10, small thickness in the fourth dimension. 11, 12, 13, 14, 15, 16), (13, 14, 15, 16, 1, 2, 3, 4), (1, Two plane figures (say triangles) if in the same 5, 9, 13, 2, 6, 10, 14), (2; 6,…

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