24 patterns
23: 3 3 3 3    1 rotations
22: 2 3 3 3  - 3 2 3 3  - 3 3 2 3  - 3 3 3 2    4 rotations
21: 2 3 2 3  - 3 2 3 2    2 rotations
20: 2 2 3 3  - 3 2 2 3  - 3 3 2 2  - 2 3 3 2    4 rotations
19: 2 2 2 3  - 3 2 2 2  - 2 3 2 2  - 2 2 3 2    4 rotations
18: 2 2 2 2    1 rotations
17: 1 3 3 3  - 3 1 3 3  - 3 3 1 3  - 3 3 3 1    4 rotations
16: 1 3 3 2  - 2 1 3 3  - 3 2 1 3  - 3 3 2 1    4 rotations
15: 1 3 2 3  - 3 1 3 2  - 2 3 1 3  - 3 2 3 1    4 rotations
14: 1 3 2 2  - 2 1 3 2  - 2 2 1 3  - 3 2 2 1    4 rotations
13: 1 3 1 3  - 3 1 3 1    2 rotations
12: 1 2 3 3  - 3 1 2 3  - 3 3 1 2  - 2 3 3 1    4 rotations
11: 1 2 3 2  - 2 1 2 3  - 3 2 1 2  - 2 3 2 1    4 rotations
10: 1 2 2 3  - 3 1 2 2  - 2 3 1 2  - 2 2 3 1    4 rotations
9: 1 2 2 2  - 2 1 2 2  - 2 2 1 2  - 2 2 2 1    4 rotations
8: 1 2 1 3  - 3 1 2 1  - 1 3 1 2  - 2 1 3 1    4 rotations
7: 1 2 1 2  - 2 1 2 1    2 rotations
6: 1 1 3 3  - 3 1 1 3  - 3 3 1 1  - 1 3 3 1    4 rotations
5: 1 1 3 2  - 2 1 1 3  - 3 2 1 1  - 1 3 2 1    4 rotations
4: 1 1 2 3  - 3 1 1 2  - 2 3 1 1  - 1 2 3 1    4 rotations
3: 1 1 2 2  - 2 1 1 2  - 2 2 1 1  - 1 2 2 1    4 rotations
2: 1 1 1 3  - 3 1 1 1  - 1 3 1 1  - 1 1 3 1    4 rotations
1: 1 1 1 2  - 2 1 1 1  - 1 2 1 1  - 1 1 2 1    4 rotations
0: 1 1 1 1    1 rotations
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 2 2 
15: 2 2 3 1 
16: 1 3 1 3 
17: 3 1 2 1 
18: 1 2 1 2 
19: 1 2 3 1 
20: 1 3 3 1 
21: 1 3 1 1 
22: 1 1 1 1 
23: 1 1 1 2 
24: 2 1 2 2 
1 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 2 2 
15: 2 2 3 1 
16: 1 3 1 3 
17: 3 1 2 1 
18: 1 2 1 2 
19: 1 2 1 1 
20: 1 1 1 1 
21: 1 1 1 3 
22: 3 1 1 3 
23: 3 1 1 2 
24: 2 1 2 2 
2 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 2 2 
15: 2 2 3 1 
16: 1 3 1 3 
17: 3 1 1 3 
18: 3 1 2 1 
19: 2 1 2 1 
20: 1 2 1 1 
21: 1 1 1 1 
22: 1 1 1 3 
23: 3 1 1 2 
24: 2 1 2 2 
4 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 2 2 
15: 2 2 3 1 
16: 1 3 1 3 
17: 3 1 1 2 
18: 2 1 2 2 
19: 2 1 2 1 
20: 1 2 1 3 
21: 3 1 1 3 
22: 3 1 1 1 
23: 1 1 1 1 
24: 1 1 2 1 
8 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 2 2 
15: 2 2 3 1 
16: 1 3 1 3 
17: 3 1 1 1 
18: 1 1 1 1 
19: 1 1 1 2 
20: 2 1 2 1 
21: 1 2 3 1 
22: 1 3 3 1 
23: 1 3 1 2 
24: 2 1 2 2 
16 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 2 2 
15: 2 2 2 1 
16: 1 2 1 3 
17: 3 1 1 1 
18: 1 1 1 1 
19: 1 1 1 2 
20: 2 1 2 1 
21: 1 2 3 1 
22: 1 3 1 3 
23: 3 1 1 3 
24: 3 1 2 2 
32 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 2 2 
15: 2 2 1 2 
16: 2 1 2 1 
17: 1 2 1 1 
18: 1 1 1 1 
19: 1 1 1 3 
20: 3 1 2 1 
21: 1 2 3 1 
22: 1 3 1 3 
23: 3 1 1 3 
24: 3 1 2 2 
64 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 3 1 
15: 1 3 3 1 
16: 1 3 1 3 
17: 3 1 1 2 
18: 2 1 1 2 
19: 1 1 1 1 
20: 1 1 1 2 
21: 2 1 2 2 
22: 2 2 3 1 
23: 1 3 1 2 
24: 2 1 2 1 
128 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 3 1 
13: 3 2 1 1 
14: 1 1 1 2 
15: 2 1 2 1 
16: 1 2 1 3 
17: 3 1 1 3 
18: 3 1 3 1 
19: 3 1 2 2 
20: 2 2 1 1 
21: 1 1 1 1 
22: 1 1 1 3 
23: 3 1 1 2 
24: 2 1 2 2 
256 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 1 1 
13: 1 2 2 3 
14: 3 2 3 1 
15: 1 3 1 3 
16: 3 1 1 3 
17: 3 1 2 1 
18: 1 2 1 2 
19: 1 2 3 1 
20: 1 3 1 1 
21: 1 1 1 1 
22: 1 1 1 2 
23: 2 1 1 2 
24: 2 1 2 2 
512 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 3 
12: 3 2 1 1 
13: 1 2 1 2 
14: 2 1 3 1 
15: 1 3 1 3 
16: 3 1 3 2 
17: 2 3 1 1 
18: 1 1 3 1 
19: 3 1 1 3 
20: 3 1 2 2 
21: 2 2 1 1 
22: 1 1 1 1 
23: 1 1 1 2 
24: 2 1 2 2 
1024 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 2 
12: 2 2 3 1 
13: 3 2 1 2 
14: 2 1 3 1 
15: 1 3 2 3 
16: 3 2 1 1 
17: 1 1 1 1 
18: 1 1 1 2 
19: 1 1 3 1 
20: 1 3 3 1 
21: 1 3 1 3 
22: 3 1 1 2 
23: 2 1 1 2 
24: 2 1 2 1 
2048 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 2 
12: 2 2 1 1 
13: 1 2 3 1 
14: 1 3 3 1 
15: 1 3 2 1 
16: 1 2 2 3 
17: 3 2 3 1 
18: 1 3 1 2 
19: 1 3 1 3 
20: 3 1 1 1 
21: 1 1 1 1 
22: 1 1 2 1 
23: 1 2 1 2 
24: 2 1 2 3 
4096 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 2 1 
12: 1 2 2 3 
13: 2 2 2 1 
14: 1 2 3 2 
15: 2 3 1 3 
16: 3 1 3 1 
17: 1 3 3 1 
18: 1 3 2 1 
19: 2 3 1 1 
20: 1 1 1 1 
21: 1 1 2 1 
22: 1 2 1 3 
23: 3 1 1 1 
24: 1 1 2 2 
8192 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 1 3 
12: 3 1 3 2 
13: 3 1 3 1 
14: 1 3 1 1 
15: 1 1 1 1 
16: 1 1 1 2 
17: 2 1 2 1 
18: 1 2 2 3 
19: 2 2 2 1 
20: 1 2 2 1 
21: 1 2 3 1 
22: 1 3 3 1 
23: 1 3 1 2 
24: 2 1 2 3 
16384 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 3 
10: 3 3 1 2 
11: 2 1 1 1 
12: 1 1 1 1 
13: 1 1 3 1 
14: 1 3 1 3 
15: 3 1 2 1 
16: 1 2 3 1 
17: 1 3 3 1 
18: 1 3 2 3 
19: 2 3 2 1 
20: 1 2 2 3 
21: 3 2 1 1 
22: 1 1 2 2 
23: 2 2 1 2 
24: 2 1 2 1 
32768 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 2 
10: 2 3 3 1 
11: 1 3 3 3 
12: 3 3 1 1 
13: 1 3 2 1 
14: 1 2 2 3 
15: 3 2 1 2 
16: 2 1 2 1 
17: 1 2 1 3 
18: 3 1 3 1 
19: 3 1 1 1 
20: 1 1 1 1 
21: 1 1 2 1 
22: 1 2 2 2 
23: 2 2 1 1 
24: 1 1 2 3 
65536 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 3 2 
10: 2 3 1 2 
11: 2 1 1 2 
12: 2 1 1 1 
13: 1 1 3 1 
14: 1 3 1 3 
15: 3 1 3 3 
16: 3 3 1 1 
17: 1 1 1 1 
18: 1 1 3 2 
19: 3 1 2 3 
20: 3 2 1 2 
21: 2 1 2 1 
22: 1 2 3 1 
23: 1 3 1 2 
24: 2 1 2 2 
131072 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 2 3 
10: 3 2 3 1 
11: 1 3 1 3 
12: 3 1 2 1 
13: 2 1 1 3 
14: 3 1 1 1 
15: 1 1 2 2 
16: 2 2 2 1 
17: 1 2 2 3 
18: 3 2 1 2 
19: 1 2 1 1 
20: 1 1 1 1 
21: 1 1 3 3 
22: 3 3 1 3 
23: 3 1 1 2 
24: 2 1 2 1 
262144 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 1 3 
9: 3 1 1 3 
10: 3 1 1 2 
11: 2 1 1 2 
12: 2 1 2 2 
13: 2 1 2 1 
14: 1 2 3 3 
15: 3 3 3 1 
16: 1 3 1 2 
17: 2 1 1 3 
18: 3 1 2 2 
19: 2 1 2 3 
20: 3 2 3 1 
21: 1 3 1 3 
22: 3 1 1 1 
23: 1 1 1 1 
24: 1 1 2 1 
524288 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 3 1 
9: 1 3 1 3 
10: 3 1 1 1 
11: 1 1 1 1 
12: 1 1 2 1 
13: 2 1 3 2 
14: 2 3 2 1 
15: 1 2 1 2 
16: 2 1 1 2 
17: 2 1 1 3 
18: 3 1 3 2 
19: 3 1 1 3 
20: 3 1 2 1 
21: 1 2 3 3 
22: 3 3 1 3 
23: 3 1 1 2 
24: 2 1 2 2 
1048576 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 2 2 
8: 2 2 2 1 
9: 1 2 2 1 
10: 1 2 1 2 
11: 2 1 3 1 
12: 1 3 1 3 
13: 1 3 3 1 
14: 1 3 2 1 
15: 1 2 3 3 
16: 3 3 1 3 
17: 3 1 1 1 
18: 1 1 1 2 
19: 1 1 1 1 
20: 1 1 2 3 
21: 3 2 1 2 
22: 2 1 3 2 
23: 2 3 1 3 
24: 3 1 2 2 
2097152 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 2 2 
7: 2 2 3 1 
8: 1 3 3 3 
9: 3 3 1 1 
10: 1 1 2 3 
11: 3 2 2 1 
12: 1 2 2 2 
13: 2 2 2 2 
14: 2 2 1 1 
15: 1 1 1 1 
16: 1 1 1 2 
17: 2 1 2 1 
18: 1 2 3 2 
19: 3 2 3 1 
20: 1 3 1 1 
21: 1 1 3 2 
22: 2 3 3 1 
23: 1 3 1 3 
24: 3 1 2 1 
4194304 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 3 1 
7: 3 2 1 2 
8: 2 1 1 2 
9: 2 1 2 1 
10: 1 2 1 3 
11: 3 1 1 2 
12: 2 1 2 2 
13: 2 1 3 2 
14: 2 3 3 1 
15: 1 3 1 3 
16: 3 1 3 3 
17: 3 3 1 1 
18: 1 1 1 1 
19: 1 1 3 2 
20: 2 3 2 2 
21: 2 2 2 2 
22: 2 2 3 1 
23: 1 3 1 1 
24: 1 1 2 1 
8388608 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 3 
6: 3 2 1 2 
7: 1 2 3 1 
8: 1 3 1 2 
9: 2 1 2 2 
10: 2 2 2 2 
11: 2 2 1 3 
12: 3 1 3 1 
13: 3 1 1 3 
14: 3 1 3 3 
15: 3 3 1 2 
16: 2 1 1 3 
17: 3 1 2 2 
18: 2 2 3 2 
19: 3 2 3 1 
20: 1 3 1 1 
21: 1 1 1 1 
22: 1 1 1 2 
23: 2 1 1 2 
24: 2 1 2 1 
16777216 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 2 2 
6: 2 2 2 2 
7: 2 2 3 1 
8: 1 3 2 1 
9: 1 2 1 3 
10: 3 1 3 2 
11: 2 3 3 1 
12: 1 3 1 3 
13: 1 3 3 1 
14: 1 3 2 2 
15: 2 2 1 2 
16: 2 1 2 1 
17: 1 2 1 1 
18: 1 1 1 3 
19: 1 1 1 1 
20: 1 1 2 2 
21: 2 2 3 3 
22: 3 3 1 3 
23: 3 1 1 2 
24: 2 1 2 3 
33554432 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 3 1 
6: 1 3 1 3 
7: 1 3 2 2 
8: 2 2 2 2 
9: 2 2 3 2 
10: 2 3 1 2 
11: 2 1 3 1 
12: 1 3 3 3 
13: 3 3 2 2 
14: 2 2 1 2 
15: 2 1 1 3 
16: 3 1 1 1 
17: 1 1 2 3 
18: 3 2 1 2 
19: 1 2 2 1 
20: 1 2 1 1 
21: 1 1 1 1 
22: 1 1 3 3 
23: 3 3 1 2 
24: 2 1 2 1 
67108864 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 3 
5: 3 2 1 2 
6: 2 1 1 2 
7: 1 1 1 3 
8: 3 1 2 2 
9: 2 2 1 3 
10: 3 1 1 3 
11: 3 1 3 2 
12: 2 3 2 2 
13: 2 3 1 1 
14: 1 1 1 1 
15: 1 1 2 1 
16: 1 2 1 2 
17: 2 1 3 1 
18: 1 3 1 3 
19: 1 3 2 1 
20: 1 2 2 2 
21: 2 2 2 2 
22: 2 2 3 3 
23: 3 3 1 3 
24: 3 1 2 3 
134217728 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 2 2 
5: 2 2 2 2 
6: 2 2 2 1 
7: 2 2 1 3 
8: 3 1 2 2 
9: 2 2 1 1 
10: 1 1 1 1 
11: 1 1 3 3 
12: 3 3 2 2 
13: 2 3 2 3 
14: 3 2 3 1 
15: 1 3 1 3 
16: 3 1 1 2 
17: 2 1 1 3 
18: 3 1 2 1 
19: 2 1 2 1 
20: 1 2 3 3 
21: 3 3 3 1 
22: 1 3 1 1 
23: 1 1 1 2 
24: 2 1 2 3 
268435456 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 3 2 
4: 2 3 1 2 
5: 2 1 3 1 
6: 1 3 3 3 
7: 3 3 1 1 
8: 1 1 1 1 
9: 1 1 1 3 
10: 3 1 3 2 
11: 2 3 2 3 
12: 3 2 2 2 
13: 2 2 2 2 
14: 2 2 3 3 
15: 3 3 1 2 
16: 2 1 1 2 
17: 2 1 1 1 
18: 1 1 2 3 
19: 2 1 1 3 
20: 3 1 3 1 
21: 1 3 2 2 
22: 2 2 2 1 
23: 1 2 1 2 
24: 2 1 2 3 
536870912 solutions so far
1: 2 1 3 3 
2: 3 3 3 3 
3: 3 3 2 3 
4: 3 2 2 1 
5: 1 2 1 3 
6: 3 1 1 3 
7: 1 1 2 2 
8: 2 2 2 2 
9: 2 2 1 2 
10: 2 1 2 1 
11: 1 2 3 2 
12: 2 3 1 1 
13: 1 3 1 3 
14: 3 1 2 2 
15: 2 2 2 3 
16: 3 2 3 2 
17: 2 3 3 2 
18: 2 3 1 3 
19: 1 3 3 3 
20: 3 3 1 2 
21: 2 1 1 3 
22: 3 1 1 1 
23: 1 1 1 1 
24: 1 1 2 1 
1073741824 solutions so far