Table of expanded rotatopes (Meta, 8)
From Hi.gher. Space
Rotatope |
Min-frame HS |
Expanded rotatopes for other frames |
Number of homeomorphic toratopes |
0f |
1f |
2f |
3f |
4f |
5f |
6f |
7f |
8f |
9f |
10f |
11f |
12f |
2D |
3D |
4D |
5D |
6D |
7D |
11 |
[4] |
11 |
2 |
0 |
|
|
|
|
|
|
|
|
|
|
1 |
0 |
0 |
0 |
0 |
0 |
111 |
[8] |
111 |
2^5 |
3 |
0 |
|
|
|
|
|
|
|
|
|
0 |
1 |
0 |
0 |
0 |
0 |
1111 |
[16] |
1111 |
2^17 |
3^7 |
4 |
0 |
|
|
|
|
|
|
|
|
0 |
0 |
1 |
0 |
0 |
0 |
11111 |
[32] |
11111 |
2^49 |
3^31 |
4^9 |
5 |
0 |
|
|
|
|
|
|
|
0 |
0 |
0 |
1 |
0 |
0 |
111111 |
[64] |
111111 |
? |
? |
? |
5^11 |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
0 |
1111111 |
[128] |
1111111 |
? |
? |
? |
? |
6^13 |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
2 |
[1, 1] |
|
2 |
0 |
|
|
|
|
|
|
|
|
|
|
1 |
0 |
0 |
0 |
0 |
0 |
21 |
[2, 2] |
|
21 |
3 |
0 |
|
|
|
|
|
|
|
|
|
0 |
1 |
0 |
0 |
0 |
0 |
211 |
[4, 4] |
|
211 |
? |
4 |
0 |
|
|
|
|
|
|
|
|
0 |
0 |
1 |
0 |
0 |
0 |
2111 |
[8, 8] |
|
2111 |
? |
? |
5 |
0 |
|
|
|
|
|
|
|
0 |
0 |
0 |
1 |
0 |
0 |
21111 |
[16, 16] |
|
21111 |
? |
? |
? |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
0 |
211111 |
[32, 32] |
|
211111 |
? |
? |
? |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
3 |
[1, 0, 1] |
|
|
3 |
0 |
|
|
|
|
|
|
|
|
|
0 |
1 |
0 |
0 |
0 |
0 |
22 |
[1, 2, 1] |
|
|
22 |
4 |
0 |
|
|
|
|
|
|
|
|
0 |
1 |
1 |
0 |
0 |
0 |
31 |
[2, 0, 2] |
|
|
31 |
4 |
0 |
|
|
|
|
|
|
|
|
0 |
0 |
1 |
0 |
0 |
0 |
221 |
[2, 4, 2] |
|
|
221 |
? |
5 |
0 |
|
|
|
|
|
|
|
0 |
0 |
1 |
1 |
0 |
0 |
311 |
[4, 0, 4] |
|
|
311 |
? |
5 |
0 |
|
|
|
|
|
|
|
0 |
0 |
0 |
1 |
0 |
0 |
2211 |
[4, 8, 4] |
|
|
2211 |
? |
? |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
1 |
1 |
0 |
3111 |
[8, 0, 8] |
|
|
3111 |
? |
? |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
0 |
22111 |
[8, 16, 8] |
|
|
22111 |
? |
? |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
1 |
31111 |
[16, 0, 16] |
|
|
31111 |
? |
? |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
221111 |
[16, 32, 16] |
|
|
221111 |
? |
? |
? |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
4 |
[1, 0, 0, 1] |
|
|
|
4 |
0 |
|
|
|
|
|
|
|
|
0 |
0 |
1 |
0 |
0 |
0 |
32 |
[1, 1, 1, 1] |
|
|
|
32 |
5 |
0 |
|
|
|
|
|
|
|
0 |
0 |
2 |
1 |
0 |
0 |
41 |
[2, 0, 0, 2] |
|
|
|
41 |
5 |
0 |
|
|
|
|
|
|
|
0 |
0 |
0 |
1 |
0 |
0 |
222 |
[1, 3, 3, 1] |
|
|
|
222 |
? |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
2 |
1 |
1 |
0 |
321 |
[2, 2, 2, 2] |
|
|
|
321 |
? |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
2 |
1 |
0 |
411 |
[4, 0, 0, 4] |
|
|
|
411 |
? |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
0 |
2221 |
[2, 6, 6, 2] |
|
|
|
2221 |
? |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
2 |
1 |
1 |
3211 |
[4, 4, 4, 4] |
|
|
|
3211 |
? |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
2 |
1 |
4111 |
[8, 0, 0, 8] |
|
|
|
4111 |
? |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
22211 |
[4, 12, 12, 4] |
|
|
|
22211 |
? |
? |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
2 |
1 |
32111 |
[8, 8, 8, 8] |
|
|
|
32111 |
? |
? |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
222111 |
[8, 24, 24, 8] |
|
|
|
222111 |
? |
? |
? |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
5 |
[1, 0, 0, 0, 1] |
|
|
|
|
5 |
0 |
|
|
|
|
|
|
|
0 |
0 |
0 |
1 |
0 |
0 |
33 |
[1, 0, 2, 0, 1] |
|
|
|
|
33 |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
1 |
1 |
0 |
42 |
[1, 1, 0, 1, 1] |
|
|
|
|
42 |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
2 |
1 |
0 |
51 |
[2, 0, 0, 0, 2] |
|
|
|
|
51 |
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
0 |
322 |
[1, 2, 2, 2, 1] |
|
|
|
|
322 |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
5 |
2 |
1 |
331 |
[2, 0, 4, 0, 2] |
|
|
|
|
331 |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
1 |
421 |
[2, 2, 0, 2, 2] |
|
|
|
|
421 |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
2 |
1 |
511 |
[4, 0, 0, 0, 4] |
|
|
|
|
511 |
? |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
2222 |
[1, 4, 6, 4, 1] |
|
|
|
|
2222 |
? |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
3 |
2 |
1 |
3221 |
[2, 4, 4, 4, 2] |
|
|
|
|
3221 |
? |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
5 |
2 |
3311 |
[4, 0, 8, 0, 4] |
|
|
|
|
3311 |
? |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
4211 |
[4, 4, 0, 4, 4] |
|
|
|
|
4211 |
? |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
22221 |
[2, 8, 12, 8, 2] |
|
|
|
|
22221 |
? |
? |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
3 |
2 |
32211 |
[4, 8, 8, 8, 4] |
|
|
|
|
32211 |
? |
? |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
0 |
5 |
222211 |
[4, 16, 24, 16, 4] |
|
|
|
|
222211 |
? |
? |
? |
? |
10 |
0 |
|
|
0 |
0 |
0 |
0 |
0 |
3 |
6 |
[1, 0, 0, 0, 0, 1] |
|
|
|
|
|
6 |
0 |
|
|
|
|
|
|
0 |
0 |
0 |
0 |
1 |
0 |
43 |
[1, 0, 1, 1, 0, 1] |
|
|
|
|
|
43 |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
2 |
1 |
52 |
[1, 1, 0, 0, 1, 1] |
|
|
|
|
|
52 |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
2 |
1 |
61 |
[2, 0, 0, 0, 0, 2] |
|
|
|
|
|
61 |
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
332 |
[1, 1, 2, 2, 1, 1] |
|
|
|
|
|
332 |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
5 |
3 |
422 |
[1, 2, 1, 1, 2, 1] |
|
|
|
|
|
422 |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
5 |
3 |
431 |
[2, 0, 2, 2, 0, 2] |
|
|
|
|
|
431 |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
521 |
[2, 2, 0, 0, 2, 2] |
|
|
|
|
|
521 |
? |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
3222 |
[1, 3, 4, 4, 3, 1] |
|
|
|
|
|
3222 |
? |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
11 |
9 |
3321 |
[2, 2, 4, 4, 2, 2] |
|
|
|
|
|
3321 |
? |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
0 |
5 |
4221 |
[2, 4, 2, 2, 4, 2] |
|
|
|
|
|
4221 |
? |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
0 |
5 |
22222 |
[1, 5, 10, 10, 5, 1] |
|
|
|
|
|
22222 |
? |
? |
? |
10 |
0 |
|
|
0 |
0 |
0 |
0 |
5 |
5 |
32221 |
[2, 6, 8, 8, 6, 2] |
|
|
|
|
|
32221 |
? |
? |
? |
10 |
0 |
|
|
0 |
0 |
0 |
0 |
0 |
11 |
222221 |
[2, 10, 20, 20, 10, 2] |
|
|
|
|
|
222221 |
? |
? |
? |
? |
11 |
0 |
|
0 |
0 |
0 |
0 |
0 |
5 |
7 |
[1, 0, 0, 0, 0, 0, 1] |
|
|
|
|
|
|
7 |
0 |
|
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
44 |
[1, 0, 0, 2, 0, 0, 1] |
|
|
|
|
|
|
44 |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
1 |
53 |
[1, 0, 1, 0, 1, 0, 1] |
|
|
|
|
|
|
53 |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
62 |
[1, 1, 0, 0, 0, 1, 1] |
|
|
|
|
|
|
62 |
8 |
0 |
|
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
333 |
[1, 0, 3, 0, 3, 0, 1] |
|
|
|
|
|
|
333 |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
0 |
2 |
432 |
[1, 1, 1, 2, 1, 1, 1] |
|
|
|
|
|
|
432 |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
0 |
9 |
522 |
[1, 2, 1, 0, 1, 2, 1] |
|
|
|
|
|
|
522 |
? |
9 |
0 |
|
|
|
0 |
0 |
0 |
0 |
0 |
5 |
3322 |
[1, 2, 3, 4, 3, 2, 1] |
|
|
|
|
|
|
3322 |
? |
? |
10 |
0 |
|
|
0 |
0 |
0 |
0 |
0 |
16 |
4222 |
[1, 3, 3, 2, 3, 3, 1] |
|
|
|
|
|
|
4222 |
? |
? |
10 |
0 |
|
|
0 |
0 |
0 |
0 |
0 |
12 |
32222 |
[1, 4, 7, 8, 7, 4, 1] |
|
|
|
|
|
|
32222 |
? |
? |
? |
11 |
0 |
|
0 |
0 |
0 |
0 |
0 |
26 |
222222 |
[1, 6, 15, 20, 15, 6, 1] |
|
|
|
|
|
|
222222 |
? |
? |
? |
? |
12 |
0 |
0 |
0 |
0 |
0 |
0 |
10 |