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| View Original: | Nimber products of powers of two; tensor.png (2048x2048) | |||
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| Keywords: Nimber products of powers of two; tensor.png Binary tensor showing the same information like File Nimber products of powers of two svg Vertical and horizontal axes are like in the matrix the binary numbers are shown in the depth with the nearer places for the lower exponents Created with Persistence of Vision own Mate2code 2013 POV-Ray source <pre> include colors inc background color White camera angle 8 location <65 45 -150> look_at <7 6 7 5 8> up < 0 1 0> right < 1 0 0> union light_source <50 30 20> color White shadowless light_source <-1 20 -2> color Gray shadowless light_source <-40 -70 -20> color White shadowless translate<10 10 10> // black cube difference box < -0 1 -0 1 -0 1> < 16 1 16 1 16 1> pigment color Black union box < -8 -8 -8> < 8 8 8> pigment color Black scale <1 02 0 995 0 995> box < -8 -8 -8> < 8 8 8> pigment color Black scale <0 995 1 02 0 995> box < -8 -8 -8> < 8 8 8> pigment color Black scale <0 995 0 995 1 02> translate<8 8 8> no_reflection // red box declare a box <0 98 15 98 0 98> <0 02 15 02 0 02> pigment color Red ; // puts red boxes macro f m n d object a translate<n -m d> end f 0 0 0 f 0 1 1 f 0 2 2 f 0 3 3 f 0 4 4 f 0 5 5 f 0 6 6 f 0 7 7 f 0 8 8 f 0 9 9 f 0 10 10 f 0 11 11 f 0 12 12 f 0 13 13 f 0 14 14 f 0 15 15 f 1 0 1 f 1 1 0 f 1 1 1 f 1 2 3 f 1 3 2 f 1 3 3 f 1 4 5 f 1 5 4 f 1 5 5 f 1 6 7 f 1 7 6 f 1 7 7 f 1 8 9 f 1 9 8 f 1 9 9 f 1 10 11 f 1 11 10 f 1 11 11 f 1 12 13 f 1 13 12 f 1 13 13 f 1 14 15 f 1 15 14 f 1 15 15 f 2 0 2 f 2 1 3 f 2 2 1 f 2 2 2 f 2 3 0 f 2 3 1 f 2 3 3 f 2 4 6 f 2 5 7 f 2 6 5 f 2 6 6 f 2 7 4 f 2 7 5 f 2 7 7 f 2 8 10 f 2 9 11 f 2 10 9 f 2 10 10 f 2 11 8 f 2 11 9 f 2 11 11 f 2 12 14 f 2 13 15 f 2 14 13 f 2 14 14 f 2 15 12 f 2 15 13 f 2 15 15 f 3 0 3 f 3 1 2 f 3 1 3 f 3 2 0 f 3 2 1 f 3 2 3 f 3 3 0 f 3 3 2 f 3 3 3 f 3 4 7 f 3 5 6 f 3 5 7 f 3 6 4 f 3 6 5 f 3 6 7 f 3 7 4 f 3 7 6 f 3 7 7 f 3 8 11 f 3 9 10 f 3 9 11 f 3 10 8 f 3 10 9 f 3 10 11 f 3 11 8 f 3 11 10 f 3 11 11 f 3 12 15 f 3 13 14 f 3 13 15 f 3 14 12 f 3 14 13 f 3 14 15 f 3 15 12 f 3 15 14 f 3 15 15 f 4 0 4 f 4 1 5 f 4 2 6 f 4 3 7 f 4 4 3 f 4 4 4 f 4 5 2 f 4 5 3 f 4 5 5 f 4 6 0 f 4 6 1 f 4 6 3 f 4 6 6 f 4 7 0 f 4 7 2 f 4 7 3 f 4 7 7 f 4 8 12 f 4 9 13 f 4 10 14 f 4 11 15 f 4 12 11 f 4 12 12 f 4 13 10 f 4 13 11 f 4 13 13 f 4 14 8 f 4 14 9 f 4 14 11 f 4 14 14 f 4 15 8 f 4 15 10 f 4 15 11 f 4 15 15 f 5 0 5 f 5 1 4 f 5 1 5 f 5 2 7 f 5 3 6 f 5 3 7 f 5 4 2 f 5 4 3 f 5 4 5 f 5 5 2 f 5 5 4 f 5 5 5 f 5 6 0 f 5 6 2 f 5 6 3 f 5 6 7 f 5 7 1 f 5 7 2 f 5 7 6 f 5 7 7 f 5 8 13 f 5 9 12 f 5 9 13 f 5 10 15 f 5 11 14 f 5 11 15 f 5 12 10 f 5 12 11 f 5 12 13 f 5 13 10 f 5 13 12 f 5 13 13 f 5 14 8 f 5 14 10 f 5 14 11 f 5 14 15 f 5 15 9 f 5 15 10 f 5 15 14 f 5 15 15 f 6 0 6 f 6 1 7 f 6 2 5 f 6 2 6 f 6 3 4 f 6 3 5 f 6 3 7 f 6 4 0 f 6 4 1 f 6 4 3 f 6 4 6 f 6 5 0 f 6 5 2 f 6 5 3 f 6 5 7 f 6 6 0 f 6 6 1 f 6 6 2 f 6 6 5 f 6 6 6 f 6 7 0 f 6 7 3 f 6 7 4 f 6 7 5 f 6 7 7 f 6 8 14 f 6 9 15 f 6 10 13 f 6 10 14 f 6 11 12 f 6 11 13 f 6 11 15 f 6 12 8 f 6 12 9 f 6 12 11 f 6 12 14 f 6 13 8 f 6 13 10 f 6 13 11 f 6 13 15 f 6 14 8 f 6 14 9 f 6 14 10 f 6 14 13 f 6 14 14 f 6 15 8 f 6 15 11 f 6 15 12 f 6 15 13 f 6 15 15 f 7 0 7 f 7 1 6 f 7 1 7 f 7 2 4 f 7 2 5 f 7 2 7 f 7 3 4 f 7 3 6 f 7 3 7 f 7 4 0 f 7 4 2 f 7 4 3 f 7 4 7 f 7 5 1 f 7 5 2 f 7 5 6 f 7 5 7 f 7 6 0 f 7 6 3 f 7 6 4 f 7 6 5 f 7 6 7 f 7 7 1 f 7 7 2 f 7 7 3 f 7 7 4 f 7 7 6 f 7 7 7 f 7 8 15 f 7 9 14 f 7 9 15 f 7 10 12 f 7 10 13 f 7 10 15 f 7 11 12 f 7 11 14 f 7 11 15 f 7 12 8 f 7 12 10 f 7 12 11 f 7 12 15 f 7 13 9 f 7 13 10 f 7 13 14 f 7 13 15 f 7 14 8 f 7 14 11 f 7 14 12 f 7 14 13 f 7 14 15 f 7 15 9 f 7 15 10 f 7 15 11 f 7 15 12 f 7 15 14 f 7 15 15 f 8 0 8 f 8 1 9 f 8 2 10 f 8 3 11 f 8 4 12 f 8 5 13 f 8 6 14 f 8 7 15 f 8 8 7 f 8 8 8 f 8 9 6 f 8 9 7 f 8 9 9 f 8 10 4 f 8 10 5 f 8 10 7 f 8 10 10 f 8 11 4 f 8 11 6 f 8 11 7 f 8 11 11 f 8 12 0 f 8 12 2 f 8 12 3 f 8 12 7 f 8 12 12 f 8 13 1 f 8 13 2 f 8 13 6 f 8 13 7 f 8 13 13 f 8 14 0 f 8 14 3 f 8 14 4 f 8 14 5 f 8 14 7 f 8 14 14 f 8 15 1 f 8 15 2 f 8 15 3 f 8 15 4 f 8 15 6 f 8 15 7 f 8 15 15 f 9 0 9 f 9 1 8 f 9 1 9 f 9 2 11 f 9 3 10 f 9 3 11 f 9 4 13 f 9 5 12 f 9 5 13 f 9 6 15 f 9 7 14 f 9 7 15 f 9 8 6 f 9 8 7 f 9 8 9 f 9 9 6 f 9 9 8 f 9 9 9 f 9 10 4 f 9 10 6 f 9 10 7 f 9 10 11 f 9 11 5 f 9 11 6 f 9 11 10 f 9 11 11 f 9 12 1 f 9 12 2 f 9 12 6 f 9 12 7 f 9 12 13 f 9 13 0 f 9 13 1 f 9 13 3 f 9 13 6 f 9 13 12 f 9 13 13 f 9 14 1 f 9 14 2 f 9 14 3 f 9 14 4 f 9 14 6 f 9 14 7 f 9 14 15 f 9 15 0 f 9 15 1 f 9 15 2 f 9 15 5 f 9 15 6 f 9 15 14 f 9 15 15 f 10 0 10 f 10 1 11 f 10 2 9 f 10 2 10 f 10 3 8 f 10 3 9 f 10 3 11 f 10 4 14 f 10 5 15 f 10 6 13 f 10 6 14 f 10 7 12 f 10 7 13 f 10 7 15 f 10 8 4 f 10 8 5 f 10 8 7 f 10 8 10 f 10 9 4 f 10 9 6 f 10 9 7 f 10 9 11 f 10 10 4 f 10 10 5 f 10 10 6 f 10 10 9 f 10 10 10 f 10 11 4 f 10 11 7 f 10 11 8 f 10 11 9 f 10 11 11 f 10 12 0 f 10 12 3 f 10 12 4 f 10 12 5 f 10 12 7 f 10 12 14 f 10 13 1 f 10 13 2 f 10 13 3 f 10 13 4 f 10 13 6 f 10 13 7 f 10 13 15 f 10 14 0 f 10 14 1 f 10 14 2 f 10 14 3 f 10 14 4 f 10 14 5 f 10 14 6 f 10 14 13 f 10 14 14 f 10 15 0 f 10 15 2 f 10 15 4 f 10 15 7 f 10 15 12 f 10 15 13 f 10 15 15 f 11 0 11 f 11 1 10 f 11 1 11 f 11 2 8 f 11 2 9 f 11 2 11 f 11 3 8 f 11 3 10 f 11 3 11 f 11 4 15 f 11 5 14 f 11 5 15 f 11 6 12 f 11 6 13 f 11 6 15 f 11 7 12 f 11 7 14 f 11 7 15 f 11 8 4 f 11 8 6 f 11 8 7 f 11 8 11 f 11 9 5 f 11 9 6 f 11 9 10 f 11 9 11 f 11 10 4 f 11 10 7 f 11 10 8 f 11 10 9 f 11 10 11 f 11 11 5 f 11 11 6 f 11 11 7 f 11 11 8 f 11 11 10 f 11 11 11 f 11 12 1 f 11 12 2 f 11 12 3 f 11 12 4 f 11 12 6 f 11 12 7 f 11 12 15 f 11 13 0 f 11 13 1 f 11 13 2 f 11 13 5 f 11 13 6 f 11 13 14 f 11 13 15 f 11 14 0 f 11 14 2 f 11 14 4 f 11 14 7 f 11 14 12 f 11 14 13 f 11 14 15 f 11 15 1 f 11 15 3 f 11 15 5 f 11 15 6 f 11 15 7 f 11 15 12 f 11 15 14 f 11 15 15 f 12 0 12 f 12 1 13 f 12 2 14 f 12 3 15 f 12 4 11 f 12 4 12 f 12 5 10 f 12 5 11 f 12 5 13 f 12 6 8 f 12 6 9 f 12 6 11 f 12 6 14 f 12 7 8 f 12 7 10 f 12 7 11 f 12 7 15 f 12 8 0 f 12 8 2 f 12 8 3 f 12 8 7 f 12 8 12 f 12 9 1 f 12 9 2 f 12 9 6 f 12 9 7 f 12 9 13 f 12 10 0 f 12 10 3 f 12 10 4 f 12 10 5 f 12 10 7 f 12 10 14 f 12 11 1 f 12 11 2 f 12 11 3 f 12 11 4 f 12 11 6 f 12 11 7 f 12 11 15 f 12 12 0 f 12 12 2 f 12 12 3 f 12 12 4 f 12 12 6 f 12 12 11 f 12 12 12 f 12 13 1 f 12 13 2 f 12 13 5 f 12 13 7 f 12 13 10 f 12 13 11 f 12 13 13 f 12 14 0 f 12 14 3 f 12 14 5 f 12 14 8 f 12 14 9 f 12 14 11 f 12 14 14 f 12 15 1 f 12 15 2 f 12 15 3 f 12 15 4 f 12 15 5 f 12 15 8 f 12 15 10 f 12 15 11 f 12 15 15 f 13 0 13 f 13 1 12 f 13 1 13 f 13 2 15 f 13 3 14 f 13 3 15 f 13 4 10 f 13 4 11 f 13 4 13 f 13 5 10 f 13 5 12 f 13 5 13 f 13 6 8 f 13 6 10 f 13 6 11 f 13 6 15 f 13 7 9 f 13 7 10 f 13 7 14 f 13 7 15 f 13 8 1 f 13 8 2 f 13 8 6 f 13 8 7 f 13 8 13 f 13 9 0 f 13 9 1 f 13 9 3 f 13 9 6 f 13 9 12 f 13 9 13 f 13 10 1 f 13 10 2 f 13 10 3 f 13 10 4 f 13 10 6 f 13 10 7 f 13 10 15 f 13 11 0 f 13 11 1 f 13 11 2 f 13 11 5 f 13 11 6 f 13 11 14 f 13 11 15 f 13 12 1 f 13 12 2 f 13 12 5 f 13 12 7 f 13 12 10 f 13 12 11 f 13 12 13 f 13 13 0 f 13 13 1 f 13 13 3 f 13 13 4 f 13 13 5 f 13 13 6 f 13 13 7 f 13 13 10 f 13 13 12 f 13 13 13 f 13 14 1 f 13 14 2 f 13 14 3 f 13 14 4 f 13 14 5 f 13 14 8 f 13 14 10 f 13 14 11 f 13 14 15 f 13 15 0 f 13 15 1 f 13 15 2 f 13 15 4 f 13 15 9 f 13 15 10 f 13 15 14 f 13 15 15 f 14 0 14 f 14 1 15 f 14 2 13 f 14 2 14 f 14 3 12 f 14 3 13 f 14 3 15 f 14 4 8 f 14 4 9 f 14 4 11 f 14 4 14 f 14 5 8 f 14 5 10 f 14 5 11 f 14 5 15 f 14 6 8 f 14 6 9 f 14 6 10 f 14 6 13 f 14 6 14 f 14 7 8 f 14 7 11 f 14 7 12 f 14 7 13 f 14 7 15 f 14 8 0 f 14 8 3 f 14 8 4 f 14 8 5 f 14 8 7 f 14 8 14 f 14 9 1 f 14 9 2 f 14 9 3 f 14 9 4 f 14 9 6 f 14 9 7 f 14 9 15 f 14 10 0 f 14 10 1 f 14 10 2 f 14 10 3 f 14 10 4 f 14 10 5 f 14 10 6 f 14 10 13 f 14 10 14 f 14 11 0 f 14 11 2 f 14 11 4 f 14 11 7 f 14 11 12 f 14 11 13 f 14 11 15 f 14 12 0 f 14 12 3 f 14 12 5 f 14 12 8 f 14 12 9 f 14 12 11 f 14 12 14 f 14 13 1 f 14 13 2 f 14 13 3 f 14 13 4 f 14 13 5 f 14 13 8 f 14 13 10 f 14 13 11 f 14 13 15 f 14 14 0 f 14 14 1 f 14 14 2 f 14 14 3 f 14 14 7 f 14 14 8 f 14 14 9 f 14 14 10 f 14 14 13 f 14 14 14 f 14 15 0 f 14 15 2 f 14 15 6 f 14 15 7 f 14 15 8 f 14 15 11 f 14 15 12 f 14 15 13 f 14 15 15 f 15 0 15 f 15 1 14 f 15 1 15 f 15 2 12 f 15 2 13 f 15 2 15 f 15 3 12 f 15 3 14 f 15 3 15 f 15 4 8 f 15 4 10 f 15 4 11 f 15 4 15 f 15 5 9 f 15 5 10 f 15 5 14 f 15 5 15 f 15 6 8 f 15 6 11 f 15 6 12 f 15 6 13 f 15 6 15 f 15 7 9 f 15 7 10 f 15 7 11 f 15 7 12 f 15 7 14 f 15 7 15 f 15 8 1 f 15 8 2 f 15 8 3 f 15 8 4 f 15 8 6 f 15 8 7 f 15 8 15 f 15 9 0 f 15 9 1 f 15 9 2 f 15 9 5 f 15 9 6 f 15 9 14 f 15 9 15 f 15 10 0 f 15 10 2 f 15 10 4 f 15 10 7 f 15 10 12 f 15 10 13 f 15 10 15 f 15 11 1 f 15 11 3 f 15 11 5 f 15 11 6 f 15 11 7 f 15 11 12 f 15 11 14 f 15 11 15 f 15 12 1 f 15 12 2 f 15 12 3 f 15 12 4 f 15 12 5 f 15 12 8 f 15 12 10 f 15 12 11 f 15 12 15 f 15 13 0 f 15 13 1 f 15 13 2 f 15 13 4 f 15 13 9 f 15 13 10 f 15 13 14 f 15 13 15 f 15 14 0 f 15 14 2 f 15 14 6 f 15 14 7 f 15 14 8 f 15 14 11 f 15 14 12 f 15 14 13 f 15 14 15 f 15 15 1 f 15 15 3 f 15 15 6 f 15 15 9 f 15 15 10 f 15 15 11 f 15 15 12 f 15 15 14 f 15 15 15 </pre> Related to the compressed nim-multiplication table Binary cubic tensor; 16 3 Images with Povray source code Cc-zero | ||||
