# Boolf prop/3-ary/twist xors

The indices are 1, 2, 3. (The entry for weight 0 would always be 0.)
This vector defines a set of four BF. Together with the quadrant it defines a unique BF. (Also together with the twist vector, because that implies the quadrant.)
This property is similar to the seminar. It also assigns two pairs of complements to each other, and both properties have the same chunky pattern. But here the underlying rule is surprisingly trivial: Two BF with the same parity have the same twist XORs, iff their XOR is (Ж 104).
Anyway, these are peculiarities specific to arity 3. For arity 2 there are always two BF with the same twist XORs (so 8 different vectors). For arity 4 there are always 16 (so 4096 different vectors).
Number of blocks: 64 Integer partition: 64⋅4
| # | twist xors | block |
| 4 | (0, 0, 0) | [0, 23, 232, 255] |
| 4 | (7, 0, 7) | [1, 22, 233, 254] |
| 4 | (1, 6, 7) | [2, 21, 234, 253] |
| 4 | (6, 6, 0) | [3, 20, 235, 252] |
| 4 | (2, 5, 7) | [4, 19, 236, 251] |
| 4 | (5, 5, 0) | [5, 18, 237, 250] |
| 4 | (3, 3, 0) | [6, 17, 238, 249] |
| 4 | (4, 3, 7) | [7, 16, 239, 248] |
| 4 | (0, 3, 7) | [8, 31, 224, 247] |
| 4 | (7, 3, 0) | [9, 30, 225, 246] |
| 4 | (1, 5, 0) | [10, 29, 226, 245] |
| 4 | (6, 5, 7) | [11, 28, 227, 244] |
| 4 | (2, 6, 0) | [12, 27, 228, 243] |
| 4 | (5, 6, 7) | [13, 26, 229, 242] |
| 4 | (3, 0, 7) | [14, 25, 230, 241] |
| 4 | (4, 0, 0) | [15, 24, 231, 240] |
| 4 | (0, 5, 7) | [32, 55, 200, 223] |
| 4 | (7, 5, 0) | [33, 54, 201, 222] |
| 4 | (1, 3, 0) | [34, 53, 202, 221] |
| 4 | (6, 3, 7) | [35, 52, 203, 220] |
| 4 | (2, 0, 0) | [36, 51, 204, 219] |
| 4 | (5, 0, 7) | [37, 50, 205, 218] |
| 4 | (3, 6, 7) | [38, 49, 206, 217] |
| 4 | (4, 6, 0) | [39, 48, 207, 216] |
| 4 | (0, 6, 0) | [40, 63, 192, 215] |
| 4 | (7, 6, 7) | [41, 62, 193, 214] |
| 4 | (1, 0, 7) | [42, 61, 194, 213] |
| 4 | (6, 0, 0) | [43, 60, 195, 212] |
| 4 | (2, 3, 7) | [44, 59, 196, 211] |
| 4 | (5, 3, 0) | [45, 58, 197, 210] |
| 4 | (3, 5, 0) | [46, 57, 198, 209] |
| 4 | (4, 5, 7) | [47, 56, 199, 208] |
| 4 | (0, 6, 7) | [64, 87, 168, 191] |
| 4 | (7, 6, 0) | [65, 86, 169, 190] |
| 4 | (1, 0, 0) | [66, 85, 170, 189] |
| 4 | (6, 0, 7) | [67, 84, 171, 188] |
| 4 | (2, 3, 0) | [68, 83, 172, 187] |
| 4 | (5, 3, 7) | [69, 82, 173, 186] |
| 4 | (3, 5, 7) | [70, 81, 174, 185] |
| 4 | (4, 5, 0) | [71, 80, 175, 184] |
| 4 | (0, 5, 0) | [72, 95, 160, 183] |
| 4 | (7, 5, 7) | [73, 94, 161, 182] |
| 4 | (1, 3, 7) | [74, 93, 162, 181] |
| 4 | (6, 3, 0) | [75, 92, 163, 180] |
| 4 | (2, 0, 7) | [76, 91, 164, 179] |
| 4 | (5, 0, 0) | [77, 90, 165, 178] |
| 4 | (3, 6, 0) | [78, 89, 166, 177] |
| 4 | (4, 6, 7) | [79, 88, 167, 176] |
| 4 | (0, 3, 0) | [96, 119, 136, 159] |
| 4 | (7, 3, 7) | [97, 118, 137, 158] |
| 4 | (1, 5, 7) | [98, 117, 138, 157] |
| 4 | (6, 5, 0) | [99, 116, 139, 156] |
| 4 | (2, 6, 7) | [100, 115, 140, 155] |
| 4 | (5, 6, 0) | [101, 114, 141, 154] |
| 4 | (3, 0, 0) | [102, 113, 142, 153] |
| 4 | (4, 0, 7) | [103, 112, 143, 152] |
| 4 | (0, 0, 7) | [104, 127, 128, 151] |
| 4 | (7, 0, 0) | [105, 126, 129, 150] |
| 4 | (1, 6, 0) | [106, 125, 130, 149] |
| 4 | (6, 6, 7) | [107, 124, 131, 148] |
| 4 | (2, 5, 0) | [108, 123, 132, 147] |
| 4 | (5, 5, 7) | [109, 122, 133, 146] |
| 4 | (3, 3, 7) | [110, 121, 134, 145] |
| 4 | (4, 3, 0) | [111, 120, 135, 144] |