Template:Families of Boolean functions/sharpness/sharp to diploid blunt

sharp to diploid blunt

These images show the 32 diploid families for arity 3 within their super-families. On the left are the 16 (diploid) sharp families. On the right are the 16 diploid blunt families truth tables 0 255 3, 12, 48, 192 63, 207, 243, 252 5, 10, 80, 160 95, 175, 245, 250 6, 9, 96, 144 111, 159, 246, 249 17, 34, 68, 136 119, 187, 221, 238 18, 33, 72, 132 123, 183, 222, 237 20, 40, 65, 130 125, 190, 215, 235 24, 36, 66, 129 126, 189, 219, 231 Zhegalkin indices The families on the left belong to two villages, which correspond to the rows of the 2×8 grid. Those on the right belong to four villages, which correspond to the columns. 128 130 132 134 144 146 148 150 0 1 64, 68, 80, 85 65, 69, 81, 84 32, 34, 48, 51 33, 35, 49, 50 96, 102, 112, 119 97, 103, 113, 118 8, 10, 12, 15 9, 11, 13, 14 72, 76, 90, 95 73, 77, 91, 94 40, 42, 60, 63 41, 43, 61, 62 106, 108, 120, 127 107, 109, 121, 126

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compare: {{Families of Boolean functions/sharpness/possible bijections}}, {{Families of Boolean functions/sharpness/introverted}}