The butterfly counts not months but moments, and has time enough. Rabindranath Tagore
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Just for Fun vectorization
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proc iml; /* rows of B contain all 8-digit combinations of 0s and 2s */ B = expandgrid({0 2}, {0 2}, {0 2}, {0 2}, {0 2}, {0 2}, {0 2}, {0 2}); B = B[2:nrow(B),]; /* remove first row of zeros */ k = ncol(B); /* k = 8 */ v = 3##(-(1:k)); /* vector of powers 3^{-i} */ t = B * v`; /* x values: right-hand endpts of middle-third intervals */ u = 2##(-(1:k)); /* vector of powers 2^{-i} */ f = B/2 * u`; /* y values: Cantor function on Cantor set */ call series(t, f); /* graph the Cantor function */
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