Ball, W. W. Rouse (Walter William Rouse), 1850-1925 · London, Macmillan · leaf 186
on. To prevent confusion in the figure I have not in-serted the numbers, but it will be seen that the method ofconstruction ensures that the sum of the 8 numbers whichdesignate the lines in each of these 18 pencils is the same. CH. VIl] MAGIC SQUARES 165 We can proceed a step further, if the… … Figure xxiv. axis of the original pencil or on lines perpendicular to it. Thewhole figure will now give 8^ lines, arranged in 244 pencilseach of 8 rays, and will be the reciprocal of a magic cube ofthe 8th order. If we reciprocate back again we obtain arepresentation in a plane of a magic cube. 166…
Geometry · Cryptography · Ciphers
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