Here is the growing list of my translation of toratopic notation, into a more common method of description in vector bundles over a surface.
Bn - n-Ball, solid n-sphere
Rn - n-Ring , solid n-torus structure , Rn = B2 x T(n-1) , T1 = S1
Sn - n-Sphere, D-1 surface of hollow n-ball
Tn - n-Torus, D-1 surface of hollow n-ring
Cn - n-Clifford manifold, edge of (B2^n) prism as [S1^n] margin
[(Sn/Tn x Cn x Sn)*Sn] - n-Clifford manifold, edge of (B(n+1)/R(n+1) x Cn x Sn)*B(n+1) open toratope prism
Q x R - 'Q' bundle over the 'R'
The one 1-manifold that curves into 2D:
(II) - S1 , the circle
All 2 distinct 2-Manifolds that curve into 3D:
(III) - S2 , sphere
((II)I) -T2 = S1xS1 , torus
All 5 distinct 3-Manifolds that curve into 4D:
(IIII) - S3
((III)I) - S1xS2
((II)II) - S2xS1
(((II)I)I) - T3 = S1xS1xS1
((II)(II)) - S1xC2 = S1x[S1*S1]
All 12 distinct 4-Manifolds that curve into 5D:
(IIIII) - S4
((II)III) - S3xS1
((II)(II)I) - S2xC2 = S2x[S1*S1]
((III)II) - S2xS2
(((II)I)II) - S2xT2 = S2xS1xS1
((III)(II)) - S1x[S2*S1]
(((II)I)(II)) - S1xC2xS1 = S1x[T2*S1] = S1x[(S1xS1)*S1] = S1x[S1*S1]xS1 , the final S1 from T2 commutes to the outside right
((IIII)I) - S1xS3
(((II)II)I) - S1xS2xS1
(((II)(II))I) - T2xC2 = S1xS1x[S1*S1]
(((III)I)I) - T2xS2 = S1xS1xS2
((((II)I)I)I) - T4 = S1xS1xS1xS1
All 33 distinct 5-manifolds that curve into 6D:
(IIIIII) - S5
((II)IIII) - S4xS1
((II)(II)II) - S3xC2 = S3x[S1*S1]
((II)(II)(II)) - S2xC3 = S2x[S1*S1*S1]
((III)III) - S3xS2
(((II)I)III) - S3xT2 = S3xS1xS1
((III)(II)I) - S2x[S2*S1]
(((II)I)(II)I) - S2xS1xC2 = S2x[T2*S1] = S2x[(S1xS1)*S1] = S2x[S1*S1]xS1 = S2xS1x[S1*S1]
((III)(III)) - S1x[S2*S2]
(((II)I)(III)) - S1x[T2*S2] = S1x[(S1xS1)*S2] = S1x[S2*S1]xS1
(((II)I)((II)I)) - S1xC2xC2 = S1x[T2*T2] = S1x[(S1xS1)*(S1xS1)]
((IIII)II) - S2xS3
(((II)II)II) - S2xS2xS1
(((II)(II))II) - S2xS1xC2 = S2xS1x[S1*S1]
(((III)I)II) - S2xS1sS2
((((II)I)I)II) - S2xT3 = S2xS1xS1xS1
((IIII)(II)) - S1x[S3*S1]
(((II)II)(II)) - S1xS2xC2 = S1xS2x[S1*S1] = S1x[(S2xS1)*S1] = S1x[S2*S1]xS1
(((II)(II))(II)) - T2xC3 = S1xS1x[S1*S1*S1]
(((III)I)(II)) - S1xC2xS2 = S1x[(S1xS2)*S1] = S1x[S1*S1]xS2
((((II)I)I)(II)) - S1xC2xT2 = S1x[T3*S1] = S1x[S1*S1]xT2 = S1x[(S1xS1xS1)*S1] = S1x[S1*S1]xS1xS1
((IIIII)I) - S1xS4
(((II)III)I) - S1xS3xS1
(((II)(II)I)I) - S1xS2xC2 = S1xS2x[S1*S1]
(((III)II)I) - S1xS2xS2
((((II)I)II)I) - S1xS2xT2 = S1xS2xS1xS1
(((III)(II))I) - T2x[S2*S1] = S1xS1x[S2*S1]
((((II)I)(II))I) - T2xC2xS1 = S1xS1x[(S1xS1)*S1] = S1xS1x[S1*S1]xS1
(((IIII)I)I) - T2xS3 = S1xS1xS3
((((II)II)I)I) - T2xS2xS1 = S1xS1xS2xS1
((((II)(II))I)I) - T3xC2 = S1xS1xS1x[S1*S1]
((((III)I)I)I) - T3xS2 = S1xS1xS1xS2
(((((II)I)I)I)I) - T5 = S1xS1xS1xS1xS1
All 90 distinct 6-manifolds that curve into 7D
1. Heptasphere (IIIIIII) - S6
2. 61-torus ((IIIIII)I) - S1xS5
3. 511-ditorus (((IIIII)I)I) - T2xS4
4. 4111-tritorus ((((IIII)I)I)I) - T3xS3
5. 31111-tetratorus (((((III)I)I)I)I) - T4xS2
6. Pentatorus ((((((II)I)I)I)I)I) - T6
7. Tiger tritorus (((((II)(II))I)I)I) - T4xC2
8. 22111-tetratorus (((((II)II)I)I)I) - T3xS2xS1
9. 320-tiger 11-ditorus ((((III)(II))I)I) - T3x[S2*S1]
10. Torus tiger ditorus (((((II)I)(II))I)I) - T3xC2xS1
11. 3211-tritorus ((((III)II)I)I) - T2xS2xS2
12. 21211-tetratorus (((((II)I)II)I)I) - T2xS2xT2
13. 221-tiger 11-ditorus ((((II)(II)I)I)I) - T2xS2xC2
14. 2311-tritorus ((((II)III)I)I) - T2xS3xS1
15. 420-tiger 1-torus (((IIII)(II))I) - T2x[S3*S1]
16. 31-torus 20-tiger 1-torus ((((III)I)(II))I) - T2xC2xS2 = T2x[S1*S1]xS2 = T2x[(S1xS2)*S1]
17. Ditorus tiger torus (((((II)I)I)(II))I) - T2xC2xT2 = T2x[T3*S1] = T2x[S1*S1]xT2
18. Double tiger torus ((((II)(II))(II))I) - T3xC3 = T2xC2xC2 = T2x[(S1xC2)*S1]
19. 22-torus 20-tiger 1-torus ((((II)II)(II))I) - T2x[(S2xS1)*S1] = T2x[S2*S1]xS1
20. 421-ditorus (((IIII)II)I) - S1xS2xS3
21. 3121-tritorus ((((III)I)II)I) - S1xS2xS1xS2
22. 21121-tetratorus (((((II)I)I)II)I) - S1xS2xT3
23. 220-tiger 21-ditorus ((((II)(II))II)I) - S1xS2xS1xC2
24. 2221-tritorus ((((II)II)II)I) - S1xS2xS2xS1
25. 330-tiger 1-torus (((III)(III))I) - T2x[S2*S2]
26. 21-torus 30-tiger 1-torus ((((II)I)(III))I) - T2x[S2*S1]xS1 = T2x[T2*S2]
27. Duotorus tiger torus ((((II)I)((II)I))I) - T2xC2xC2
28. 321-tiger 1-torus (((III)(II)I)I) - S1xS2x[S2*S1]
29. 21-torus 21-tiger 1-torus ((((II)I)(II)I)I) - S1xS2xC2xS1 = S1xS2x[T2*S1]
30. 331-ditorus (((III)III)I) = S1xS3xS2
31. 2131-tritorus ((((II)I)III)I) = S1xS3xT2
32. Triger torus (((II)(II)(II))I) = S1xS2xC3
33. 222-tiger 1-torus (((II)(II)II)I) - S1xS3xC2
34. 241-ditorus (((II)IIII)I) - S1xS4xS1
35. 520-tiger ((IIIII)(II)) - S1x[S4*S1]
36. 41-torus 20-tiger (((IIII)I)(II)) - S1xC2xS3 = S1x[(S1xS3)*S1]
37. 311-ditorus 20-tiger ((((III)I)I)(II)) - S1xC2xS1xS2 = S1x[(T2xS2)*S1] = S1x[T2*S1]xS2
38. Tritorus tiger (((((II)I)I)I)(II)) - S1xC2xT3 = S1x[T4*S1]
39. Tiger torus tiger ((((II)(II))I)(II)) - S1xC2xS1xC2
40. 221-ditorus 20-tiger ((((II)II)I)(II)) - S1xC2xS2xS1 = S1x[(S1xS2xS1)*S1] = S1x[(S1xS2)*S1]xS1
41. 320-tiger 20-tiger (((III)(II))(II)) - S1xC2x[S2*S1]
43. 32-torus 20-tiger (((III)II)(II)) - S1x[S2*S1]xS2 = S1x[(S2xS2)*S1]
44. 212-ditorus 20-tiger ((((II)I)II)(II)) - S1x[S2*S1]xT2 = S1x[(S2xT2)*S1]
45. 221-tiger 20-tiger (((II)(II)I)(II)) - S1x[S2*S1]xC2 = S1x[(S2xC2)*S1]
46. 23-torus 20-tiger (((II)III)(II)) - S1x[S3*S1]xS1 = S1x[(S3xS1)*S1]
47. 52-torus ((IIIII)II) - S2xS4
48. 412-ditorus (((IIII)I)II) - S2xS1xS3
49. 3112-tritorus ((((III)I)I)II) - S2xT2xS2
50. 21112-tetratorus (((((II)I)I)I)II) - S2xT3xS1
51. 220-tiger 12-ditorus ((((II)(II))I)II) - S2xT2xC2
52. 2212-tritorus ((((II)II)I)II) - S2xS1xS2xS1
53. 320-tiger 2-torus (((III)(II))II) - S2xS1x[S2*S1]
54. 21-torus 20-tiger 2-torus ((((II)I)(II))II) - S2xS1xC2xS1 = S2xS1x[T2*S1]
55. 322-ditorus (((III)II)II) - S2xS2xS2
56. 2122-tritorus ((((II)I)II)II) - S2xS2xT2
57. 221-tiger 2-torus (((II)(II)I)II) - S2xS2xC2
58. 232-ditorus (((II)III)II) - S2xS3xS1
59. 430-tiger ((IIII)(III)) - S1x[S3*S2]
60. 21-torus 40-tiger (((II)I)(IIII)) - S1x[T2*S3] = S1x[S3*S1]xS1
61. 31-torus 30-tiger (((III)I)(III)) - S1x[(S1xS2)*S2] = S1x[S2*S1]xS2 = S1x[S2*S2]xS1
62. 31-torus 21-torus 0-tiger (((III)I)((II)I)) - S1xC2x[S2*S1] = S1x[(S1xS2)*T2] = S1x[T2*S1]xS2
63. 211-ditorus 30-tiger ((((II)I)I)(III)) - S1x[T3*S2] = S1x[S2*S1]xT2
64. Ditorus/torus tiger ((((II)I)I)((II)I)) - S1xC2xC2xS1 = S1x[T3*T2]
65. 220-tiger 30-tiger (((II)(II))(III)) - S1x[(S1xC2)*S2] = S1x[S2*S1]xC2
66. Tiger/torus tiger (((II)(II))((II)I)) - S1x[(S1xC2)*T2] = S1x[T2*S1]xC2
67. 22-torus 30-tiger (((II)II)(III)) - S1x[(S2xS1)*S2] = S1x[S2*S2]xS1
68. 22-torus 21-torus 0-tiger (((II)II)((II)I)) - S1x[(S2xS1)*T2] = S1x[S2*S1]xC2 = S1x[T2*S2]xS1
69. 421-tiger ((IIII)(II)I) - S2x[S3*S1]
70. 31-torus 21-tiger (((III)I)(II)I) - S2xC2xS2 = S2x[(S1xS2)*S1]
71. 211-ditorus 21-tiger ((((II)I)I)(II)I) - S2xC2xT2 = S2x[T3*S1]
72. 220-tiger 21-tiger (((II)(II))(II)I) - S2xS1xC3 = S2xC2xC2 = S2x[(S1xC2)*S1]
73. 22-torus 21-tiger (((II)II)(II)I) - S2x[(S2xS1)*S1] = S2x[S2*S1]xS1
74. 43-torus ((IIII)III) - S3xS3
75. 313-ditorus (((III)I)III) - S3xS1xS2
76. 2113-tritorus ((((II)I)I)III) - S3xT3
77. 220-tiger 3-torus (((II)(II))III) - S3xS1xC2
78. 223-ditorus (((II)II)III) - S3xS2xS1
79. 331-tiger ((III)(III)I) - S2x[S2*S2]
80. 21-torus 31-tiger (((II)I)(III)I) - S2x[T2*S2] = S2x[S2*S1]xS1
81. 21-torus 21-torus 1-tiger (((II)I)((II)I)I) = S2xC2xC2 = S2x[T2*T2]
82. 3220-triger ((III)(II)(II)) - S2x[S2*S1*S1]
83. Torus triger (((II)I)(II)(II)) - S2xC3xS1 = S2x[T2*S1*S1]
84. 322-tiger ((III)(II)II) - S3x[S2*S1]
85. 21-torus 22-tiger (((II)I)(II)II) - S3xC2xS1 = S3x[T2*S1]
86. 34-torus ((III)IIII) - S4xS2
87. 214-ditorus (((II)I)IIII) - S4xT2
88. 2221-triger ((II)(II)(II)I) - S3xC3
89. 223-tiger ((II)(II)III) - S4xC2
90. 25-torus ((II)IIIII) - S5xS1
All 261 distinct 7-manifolds that curve into 8D:
1. Octasphere (IIIIIIII) - S7
2. 71-torus ((IIIIIII)I) - S1xS6
3. 611-ditorus (((IIIIII)I)I) - T2xS5
4. 5111-tritorus ((((IIIII)I)I)I) - T3xS4
5. 41111-tetratorus (((((IIII)I)I)I)I) - T4xS3
6. 311111-pentatorus ((((((III)I)I)I)I)I) - T5xS2
7. Hexatorus (((((((II)I)I)I)I)I)I) - T7
8. Tiger tetratorus ((((((II)(II))I)I)I)I) - T5xC2
9. 221111-pentatorus ((((((II)II)I)I)I)I) - T4xS2xS1
10. 320-tiger 111-tritorus ((((((III)(II))I)I)I) - T4x[S2*S1]
11. Torus tiger tritorus ((((((II)I)(II))I)I)I) - T4xC2xS1 = T4x[T2*S1]
12. 32111-tetratorus (((((III)II)I)I)I) - T3xS2xS2
13. 212111-pentatorus ((((((II)I)II)I)I)I) - T3xS2xT2
14. 221-tiger 111-tritorus (((((II)(II)I)I)I)I) - T3xS2xC2
15. 23111-tetratorus (((((II)III)I)I)I) - T3xS4xS1
16. 420-tiger 11-ditorus ((((IIII)(II))I)I) - T3x[S3*S1]
17. 31-torus 20-tiger 11-ditorus ((((III)I)(II))I)I) - T3xC2xS2 = T3x[(S1xS2)*S1]
18. Ditorus tiger ditorus (((((II)I)I)(II))I)I) - T3xC2xT2 = T3x[T3*S1]
19. Double tiger ditorus ((((II)(II))(II))I)I) - T4xC3 = T3xC2xC2 = T3x[(S1xC2)*S1]
20. 22-torus 20-tiger 11-ditorus ((((II)II)(II))I)I) - T3x[S2*S1]xS1 = T3x[(S2xS1)*S1]
21. 4211-tritorus (((IIII)II)I)I) - T2xS2xS3
22. 31211-tetratorus ((((III)I)II)I)I) - T2xS2xS1xS2
23. 211211-pentatorus (((((II)I)I)II)I)I) - T2xS2xT3
24. 220-tiger 211-tritorus ((((II)(II))II)I)I) - T2xS2xS1xC2
25. 22211-tetratorus ((((II)II)II)I)I) - T2xS2xS2xS1
26. 330-tiger 11-ditorus ((((III)(III))I)I) - T3x[S2*S2]
27. 21-torus 30-tiger 11-ditorus (((((II)I)(III))I)I) - T3x[T2*S2] = T3x[S2*S1]xS1
28. Duotorus tiger ditorus (((((II)I)((II)I))I)I) - T3xC2xC2 = T3x[T2*T2]
29. 321-tiger 11-ditorus ((((III)(II)I)I)I) - T2xS2x[S2*S1]
30. 21-torus 21-tiger 11-ditorus (((((II)I)(II)I)I)I) - T2xS2xC2xS1 = T2xS2x[T2*S1]
31. 3311-tritorus ((((III)III)I)I) - T2xS3xS2
32. 21311-tetratorus (((((II)I)III)I)I) - T2xS3xT2
33. Triger ditorus ((((II)(II)(II))I)I) - T2xS2xC3
34. 222-tiger 11-ditorus ((((II)(II)II)I)I) - T2xS4xC2
35. 2411-tritorus ((((II)IIII)I)I) - T2xS4xS2
36. 520-tiger 1-torus (((IIIII)(II))I) - T2x[S4*S2]
37. 41-torus 20-tiger 1-torus ((((IIII)I)(II))I) - T2xC2xS3 = T2x[(S1xS3)*S1]
38. 311-ditorus 20-tiger 1-torus (((((III)I)I)(II))I) - T2xC2xS1xS2 = T2x[(T2xS2)*S1]
39. Tritorus tiger torus ((((((II)I)I)I)(II))I) - T2xC2xT3 = T2x[T4*S1]
40. Tiger torus tiger torus (((((II)(II))I)(II))I) - T2xC2xS1xC2 = T2x[(T2xC2)*S1]
41. 221-ditorus 20-tiger 1-torus (((((II)II)I)(II))I) - T2xC2xS2xS1 = T2x[(S1xS2xS1)*S1]
42. 320-tiger 20-tiger 1-torus ((((III)(II))(II))I) - T2xC2x[S2*S1] = T2x[(S1x[S2*S1])*S1]
43. Torus double tiger torus (((((II)I)(II))(II))I) - T2xC2xC2xS1 = T2x[(S1xC2xS1)*S1] = T2x[(S1x[T2*S1])*S1]
44. 32-torus 20-tiger 1-torus ((((III)II)(II))I) - T2x[S2*S1]xS2 = T2x[(S2xS2)*S1]
45. 212-ditorus 20-tiger 1-torus (((((II)I)II)(II))I) - T2x[S2*S1]xT2 = T2x[(S2xT2)*S1]
46. 221-tiger 20-tiger 1-torus ((((II)(II)I)(II))I) - T2x[S2*S1]xC2 = T2x[(S2xC2)*S1]
47. 23-torus 20-tiger 1-torus ((((II)III)(II))I) - T2x[S3*S1]xS1 = T2x[(S3xS1)*S1]
48. 521-ditorus (((IIIII)II)I) - S1xS2xS4
49. 4121-tritorus ((((IIII)I)II)I) - S1xS2xS1xS3
50. 31121-tetratorus (((((III)I)I)II)I) - S1xS2xT2xS2
51. 211121-pentatorus ((((((II)I)I)I)II)I) - S1xS2xT4
52. 220-tiger 121-tritorus (((((II)(II))I)II)I) - S1xS2xT2xC2
53. 22121-tetratorus (((((II)II)I)II)I) - S1xS2xS1xS2xS1
54. 320-tiger 21-ditorus ((((III)(II))II)I) - S1xS2xS1x[S2*S1]
55. 21-torus 20-tiger 21-ditorus (((((II)I)(II))II)I) - S1xS2xS1xC2xS1 = S1xS2xS1x[T2*S1]
56. 3221-tritorus ((((III)II)II)I) - S1xS2xS2xS2
57. 21221-tetratorus (((((II)I)II)II)I) - S1xS2xS2xT2
58. 221-tiger 21-ditorus ((((II)(II)I)II)I) - S1xS2xS2xC2
59. 2321-tritorus ((((II)III)II)I) - S1xS2xS3xS1
60. 430-tiger 1-torus (((IIII)(III))I) - T2x[S3*S2]
61. 21-torus 40-tiger 1-torus ((((II)I)(IIII))I) - T2x[S3*S1]xS1 = T2x[T2xS3]
62. 31-torus 30-tiger 1-torus ((((III)I)(III))I) - T2x[S2*S1]xS2 = T2x[(S1xS2)*S2]
63. 31-torus 21-torus 0-tiger 1-torus ((((III)I)((II)I))I) - T2xC2x[S2*S1] = T2x[(S1xS2)*T2]
64. 211-ditorus 30-tiger 1-torus (((((II)I)I)(III))I) - T2x[S2*S1]xT2 = T2x[T3*S2]
65. Ditorus/torus tiger torus (((((II)I)I)((II)I))I) - T2xC2xC2xS1 = T2x[T3*T2]
66. 220-tiger 30-tiger 1-torus ((((II)(II))(III))I) - T2x[S2*S1]xC2 = T2x[(S1xC2)*S2]
67. Tiger/torus tiger torus ((((II)(II))((II)I))I) - T2xC2xC2xS1 = T2x[(S1xC2)*T2]
68. 22-torus 30-tiger 1-torus ((((II)II)(III))I) - T2x[S2*S2]xS1 = T2x[(S2xS1)*S2]
69. 22-torus 21-torus 0-tiger 1-torus ((((II)II)((II)I))I) - T2x[S2*S1]xC2 = T2x[(S2xS1)*T2]
70. 421-tiger 1-torus (((IIII)(II)I)I) - S1xS2x[S3*S1]
71. 31-torus 21-tiger 1-torus ((((III)I)(II)I)I) - S1xS2xC2xS2 = S1xS2x[(S1xS2)*S1]
72. 211-ditorus 21-tiger 1-torus (((((II)I)I)(II)I)I) - S1xS2xC2xT2 = S1xS2x[T3*S1]
73. 220-tiger 21-tiger 1-torus ((((II)(II))(II)I)I) - S1xS2xC2xC2 = S1xS2x[(S1xC2)*S1]
74. 22-torus 21-tiger 1-torus ((((II)II)(II)I)I) - S1xS2x[S2*S1]xS1 = S1xS2x[(S2xS1)*S1]
75. 431-ditorus (((IIII)III)I) - S1xS3xS3
76. 3131-tritorus ((((III)I)III)I) - S1xS3xS1xS2
77. 21131-tetratorus (((((II)I)I)III)I) - S1xS3xT3
78. 220-tiger 31-ditorus ((((II)(II))III)I) - S1xS3xS1xC2
79. 2231-tritorus ((((II)II)III)I) - S1xS3xS2xS1
80. 331-tiger 1-torus (((III)(III)I)I) - S1xS2x[S2*S2]
81. 21-torus 31-tiger 1-torus ((((II)I)(III)I)I) - S1xS2x[S2*S1]xS1 = S1xS2x[T2*S2]
82. 21-torus 21-torus 1-tiger 1-torus ((((II)I)((II)I)I)I) - S1xS2xC2xC2 = S1xS2x[T2*T2]
83. 3220-triger 1-torus (((III)(II)(II))I) - S1xS2xC2xS2 = S1xS2xS2xC2 = T2x[S2*S1*S1] = S1xS2x[S2*S1*S1]
84. Torus triger torus ((((II)I)(II)(II))I) - S1xS2xC3xS1 = T2x[T2*S1*S1]
85. 322-tiger 1-torus (((III)(II)II)I) - S1xS3x[S2*S1]
86. 21-torus 22-tiger 1-torus ((((II)I)(II)II)I) - S1xS3xC2xS1 = S1xS3x[T2*S1]
87. 341-ditorus (((III)IIII)I) - S1xS4xS2
88. 2141-tritorus ((((II)I)IIII)I) - S1xS4xT2
89. 2221-triger 1-torus (((II)(II)(II)I)I) - S1xS3xC3
90. 223-tiger 1-torus (((II)(II)III)I) - S1xS4xC2
91. 251-ditorus (((II)IIIII)I) - S1xS5xS1
92. 620-tiger ((IIIIII)(II)) - S1x[S5*S1]
93. 51-torus 20-tiger (((IIIII)I)(II)) - S1xC2xS4 = S1x[(S1xS4]*S1]
94. 411-ditorus 20-tiger ((((IIII)I)I)(II)) - S1xC2xS1xS3 = S1x[(T2xS3)*S1]
95. 3111-tritorus 20-tiger (((((III)I)I)I)(II)) - S1xC2xT2xS2 = S1x[(T3xS2)*S1]
96. Tetratorus tiger ((((((II)I)I)I)I)(II)) - S1xC2xT4 = S1x[T5*S1]
97. Tiger ditorus tiger (((((II)(II))I)I)(II)) - S1xC2xT2xC2 = S1x[(T3xC2)*S1]
98. 2211-tritorus 20-tiger (((((II)II)I)I)(II)) - S1xC2xS1xS2xS1 = S1x[(T2xS2xS1)*S1]
99. 320-tiger 1-torus 20-tiger ((((III)(II))I)(II)) - S1xC2xS1x[S2*S1] = S1x[T2*S1]x[S2*S1] = S1x[(T2x[S2*S1])*S1]
100. Torus tiger torus tiger (((((II)I)(II))I)(II)) - S1xC2xC2xS1 = S1x[(T2xC2xS1)*S1] = S1x[(T2x[T2*S1])*S1]
101. 321-ditorus 20-tiger ((((III)II)I)(II)) - S1xC2xS2xS2 = S1x[(S1xS2xS2)*S1]
102. 2121-tritorus 20-tiger (((((II)I)II)I)(II)) - S1xC2xS2xT2 = S1x[(S1xS2xT2)*S1]
103. 221-tiger 1-torus 20-tiger ((((II)(II)I)I)(II)) - S1xC2xS2xC2 = S1x[(S1xS2xC2)*S1]
104. 231-ditorus 20-tiger ((((II)III)I)(II)) - S1xC2xS3xS1 = S1x[(S1xS3xS1)*S1]
105. 420-tiger 20-tiger (((IIII)(II))(II)) - T2x[S3*S1*S1] = S1xC2x[S3*S1] - S1x[(S1x[S3*S1])*S1]
106. 31-torus20-tiger20-tiger ((((III)I)(II))(II)) - T2xC3xS2 = S1xC2xC2xS3 = S1x[(S1xC2xS2)*S1] = S1x[(S1x[(S1xS2)*S1])*S1]
107. Ditorus double tiger (((((II)I)I)(II))(II)) - T2xC3xT2 = S1x[(S1xC2xT2)*S1] = S1x[(S1x[T3*S1])*S1]
108. Triple tiger ((((II)(II))(II))(II)) - T3xC4 = S1x[(T2xC3)*S1] = S1x[(S1xC2xC2)*S1]
109. 22-torus 20-tiger 20-tiger ((((II)II)(II))(II)) - S1xC2x[S2*S1]xS1 = S1x[((S2xS1)*S1)*S1] = S1x[(S1x[S2*S1]xS1)*S1]
110. 42-torus 20-tiger (((IIII)II)(II)) - S1x[S2*S1]xS3 = S1x[(S2xS3)*S1]
111. 312-ditorus 20-tiger ((((III)I)II)(II)) - S1x[S2*S1]xS1xS2 = S1x[(S2xS1xS2)*S1]
112. 2112-tritorus 20-tiger (((((II)I)I)II)(II)) - S1x[S2*S1]xT3 = S1x[(S2xT3)*S1]
113. 220-tiger 2-torus 20-tiger ((((II)(II))II)(II)) - S1x[S2*S1]xS1xC2 = S1x[(S2xS1xC2)*S1]
114. 222-ditorus 20-tiger ((((II)II)II)(II)) - S1x[S2*S1]xS2xS1 = S1x[(S2xS2xS1)*S1]
115. 330-tiger 20-tiger (((III)(III))(II)) - S1xC2x[S2*S2] = S1x[(S1x[S2*S2])*S1]
116. 21-torus 30-tiger 20-tiger ((((II)I)(III))(II)) - S1xC2x[S2*S1]xS1 = S1x[(S1x[T2*S2])*S1]
117. Duotorus double tiger ((((II)I)((II)I))(II)) - T2xC3xC2 = T2xC2xC3 = S1x[(S1xC2xC2)*S1] = S1x[(S1x[T2*T2])*S1]
118. 321-tiger 20-tiger (((III)(II)I)(II)) - S1xS2xS3xC2 = S1x[S2*S1]x[S2*S1] = S1x[(S2x[S2*S1])*S1]
119. 21-torus21-tiger20-tiger ((((II)I)(II)I)(II)) - S1xS2xS2xC3 = S1x[S2*S1]xC2xS1 = S1x[(S2xC2xS1)*S1] = S1x[(S2x[T2*S1])*S1]
120. 33-torus 20-tiger (((III)III)(II)) - S1x[S3*S1]xS2 = S1x[(S3xS2)*S1]
121. 213-ditorus 20-tiger ((((II)I)III)(II)) - S1x[S3*S1]xT2 = S1x[(S3xT2)*S1]
122. Triger tiger (((II)(II)(II))(II)) - S1xS2xC4 = S1x[(S2xC3)*S1]
123. 222-tiger 20-tiger (((II)(II)II)(II)) - S1xS3xC3 = S1x[S3*S1]xC2 = S1x[(S3xC2)*S1]
124. 24-torus 20-tiger (((II)IIII)(II)) - S1x[S4*S1]xS1 = S1x[(S4xS1)*S1]
125. 62-torus ((IIIIII)II) - S2xS5
126. 512-ditorus (((IIIII)I)II) - S2xS1xS4
127. 4112-tritorus ((((IIII)I)I)II) - S2xT2xS3
128. 31112-tetratorus (((((III)I)I)I)II) - S2xT3xS2
129. 211112-pentatorus ((((((II)I)I)I)I)II) - S2xT5
130. 220-tiger 112-tritorus (((((II)(II))I)I)II) - S2xT3xC2 = S2xT2x[S1xC2]
131. 22112-tetratorus (((((II)II)I)I)II) - S2xT2xS2xS1
132. 320-tiger 12-ditorus ((((III)(II))I)II) - S2xT2x[S2*S1]
133. 21-torus 20-tiger 12-ditorus (((((II)I)(II))I)II) - S2xS1x[S1xC2xS1] = S2xT2x[T2*S1]
134. 3212-tritorus ((((III)II)I)II) - S2xS1xS2xS2
135. 21212-tetratorus (((((II)I)II)I)II) - S2xS1xS2xT2
136. 221-tiger 12-ditorus ((((II)(II)I)I)II) - S2xS1xS2xC2
137. 2312-tritorus ((((II)III)I)II) - S2xS1xS3xS1
138. 420-tiger 2-torus (((IIII)(II))II) - S2xS1x[S3*S1]
139. 31-torus 20-tiger 2-torus ((((III)I)(II))II) - S2xS1xC2xS2 = S2xS1x[(S1xS2)*S1]
140. 211-ditorus 20-tiger 2-torus (((((II)I)I)(II))II) - S2xS1xC2xT2 = S2xS1x[T3*S1]
141. 220-tiger 20-tiger 2-torus ((((II)(II))(II))II) - S2xT2xC3 = S2xS1x[(S1xC2)*S1]
142. 22-torus 20-tiger 2-torus ((((II)II)(II))II) - S2xS1x[S2*S1]xS1 = S2xS1x[(S2xS1)*S1]
143. 422-ditorus (((IIII)II)II) - S2xS2xS3
144. 3122-tritorus ((((III)I)II)II) - S2xS2xS1xS2
145. 21122-tetratorus (((((II)I)I)II)II) - S2xS2xT3
146. 220-tiger 22-ditorus ((((II)(II))II)II) - S2xS2xS1xC2
147. 2222-tritorus ((((II)II)II)II) - S2xS2xS2xS1
148. 330-tiger 2-torus (((III)(III))II) - S2xS1x[S2*S2]
149. 21-torus 30-tiger 2-torus ((((II)I)(III))II) - S2xS1x[S2*S1]xS1 = S2xS1x[T2*S2]
150. 21-torus 21-torus 0-tiger 2-torus ((((II)I)((II)I))II) - S2xS1xC2xC2 = S2xS1x[T2xT2]
151. 321-tiger 2-torus (((III)(II)I)II) - S2xS2x[S2*S1]
152. 21-torus 21-tiger 2-torus ((((II)I)(II)I)II) - S2xS2xC2xS1 = S2xS2x[T2*S1]
153. 332-ditorus (((III)III)II) - S2xS3xS2
154. 2132-tritorus ((((II)I)III)II) - S2xS3xT2
155. 2220-triger 2-torus (((II)(II)(II))II) - S2xS2xC3
156. 222-tiger 2-torus (((II)(II)II)II) - S2xS3xC2
157. 242-ditorus (((II)IIII)II) - S2xS4xS1
158. 530-tiger ((IIIII)(III)) - S1x[S4*S2]
159. 21-torus 50-tiger (((II)I)(IIIII)) - S1x[S4*S1]xS1 = S1x[S4*T2]
160. 41-torus 30-tiger (((IIII)I)(III)) - S1x[S2*S1]xS3 = S1x[(S1xS3)*S2]
161. 41-torus 21-torus 0-tiger (((IIII)I)((II)I)) - S1xC2x[S3*S1] = S1x[(S1xS3)*T2]
162. 311-ditorus 30-tiger ((((III)I)I)(III)) - S1x[S2*S1]xS1xS2 = S1x[S2*T2]xS2 = S1x[(T2xS2)*S2]
163. 311-ditorus 21-torus 0-tiger ((((III)I)I)((II)I)) - S1xC2xC2xS2 = S1x[T2*T2]xS2 = S1x[(T2xS2)*T2]
164. 2111-tritorus 30-tiger (((((II)I)I)I)(III)) - S1x[S2*S1]xT3 = S1x[T4*S2]
165. Tritorus/torus tiger (((((II)I)I)I)((II)I)) - S1xC2xC2xT2 = S1x[T4*T2]
166. 220-tiger 1-torus 30-tiger ((((II)(II))I)(III)) - T3x[S2*S1*S1] = S1x[S2*S1]xS1xC2 = S1x[(T2xC2)*S2]
167. (Tiger torus)/torus tiger ((((II)(II))I)((II)I)) - T3xC3xS1 = S1x[(T2xC2)*T2]
168. 221-ditorus 30-tiger ((((II)II)I)(III)) - S1x[S2*S1]xS2xS1 = S1x[(S1xS2xS1)*S2]
169. 221-ditorus 21-torus 0-tiger ((((II)II)I)((II)I)) - S1xC2x[S2*S1]xS1 = S1x[(S1xS2xS1)*T2]
170. 320-tiger 30-tiger (((III)(II))(III)) - T2x[S2*S2*S1] = T2x[S2*S2]xS1 = S1x[S2*S1]x[S2*S1] = S1x[(S1x[S2*S1])*S2]
171. 320-tiger 21-torus 0-tiger (((III)(II))((II)I)) - T2x[T2*S2*S1] = T2xC2x[S2*S1] = S1x[(S1x[S2*S1])*T2]
172. 21-torus 20-tiger 30-tiger ((((II)I)(II))(III)) - S1x[(S1xC2xS1)*S2] = S1x[(S1x[T2*S1])*S2]
173. (Torus tiger)/torus tiger ((((II)I)(II))((II)I)) - T2xC3xC2 = S1x[(S1x[T2*S1])*T2]
174. 32-torus 30-tiger (((III)II)(III)) - S1x[S2*S2]xS2 = S1x[(S2xS2)*S2]
175. 32-torus 21-torus 0-tiger (((III)II)((II)I)) - S1x[(S2xS2)*T2] = S1x[S2*S1]x[S2*S1]
176. 212-ditorus 30-tiger ((((II)I)II)(III)) - S1x[S2*S2]xT2 = S1x[(S2xT2)*S2]
177. 212-ditorus 21-torus 0-tiger ((((II)I)II)((II)I)) = S1x[S2*S1]xC2xS1 = S1x[(S2xT2)*T2]
178. 221-tiger 30-tiger (((II)(II)I)(III)) - S1xS2xC2xS2 = S1x[S2*S2]xC2 = S1x[(S2xC2)*S2]
179. 221-tiger 21-torus 0-tiger (((II)(II)I)((II)I)) - S1xS2xC3xS1 = S1x[(S2xC2)*T2]
180. 23-torus 30-tiger (((II)III)(III)) - S1x[S3*S2]xS1 = S1x[(S3xS1)*S2]
181. 23-torus 21-torus 0-tiger (((II)III)((II)I)) - S1x[S3*S1]xC2 = S1x[(S3xS1)*T2]
182. 521-tiger ((IIIII)(II)I) - S2x[S4*S1]
183. 41-torus 21-tiger (((IIII)I)(II)I) - S2xC2xS3 = S2x[(S1xS3)*S1]
184. 311-ditorus 21-tiger ((((III)I)I)(II)I) - S1xC2xS1xS2 = S2x[(T2xS2)*S1]
185. 2111-tritorus 21-tiger (((((II)I)I)I)(II)I) - S2xC2xT3 = S2x[T4*S1]
186. 220-tiger 1-torus 21-tiger ((((II)(II))I)(II)I) - S2xT2xC3 = S2x[(T2xC2)*S1]
187. 221-ditorus 21-tiger ((((II)II)I)(II)I) - S2xC2xS2xS1 = S2x[(S1xS2xS1)*S1]
188. 320-tiger 21-tiger (((III)(II))(II)I) - S2xS1xC2xS2 = S2x[(S1x[S2*S1])*S1]
189. 21-torus 20-tiger 21-tiger ((((II)I)(II))(II)I) - S2xT2xC3 = S2x[(S1xC2xS1)*S1] = S2x[(S1x[T2*S1])*S1]
190. 32-torus 21-tiger (((III)II)(II)I) - S2x[S2*S1]xS2 = S2x[(S2xS2)*S1]
191. 212-ditorus 21-tiger ((((II)I)II)(II)I) - S2x[S2*S1]xT2 = S2x[(S2xT2)*S1]
192. 221-tiger 21-tiger (((II)(II)I)(II)I) - S2xS2xC3 = S2x[(S2xC2)*S1]
193. 23-torus 21-tiger (((II)III)(II)I) - S2xS3xC2 = S2x[S3*S1]xS1 = S2x[(S3xS1)*S1]
194. 53-torus ((IIIII)III) - S3xS4
195. 413-ditorus (((IIII)I)III) - S3xS1xS3
196. 3113-tritorus ((((III)I)I)III) - S3xT2xS2
197. 21113-tetratorus (((((II)I)I)I)III) - S3xT4
198. 220-tiger 13-ditorus ((((II)(II))I)III) - S3xT2xC2
199. 2213-tritorus ((((II)II)I)III) - S3xS1xS2xS1
200. 320-tiger 3-torus (((III)(II))III) - S3xS1x[S2*S1]
201. 21-torus 20-tiger 3-torus ((((II)I)(II))III) - S3xT2xC2 = S3xS1xC2xS1 = S3xS1x[T2*S1]
202. 323-ditorus (((III)II)III) - S3xS2xS2
203. 2123-tritorus ((((II)I)II)III) - S3xS2xT2
204. 221-tiger 3-torus (((II)(II)I)III) - S3xS2xC2
205. 233-ditorus (((II)III)III) - S3xS3xS1
206. 440-tiger ((IIII)(IIII)) - S1x[S3*S3]
207. 31-torus 40-tiger (((III)I)(IIII)) - S1x[S3*S1]xS3 = S1x[(S1xS2)*S3]
208. 31-torus 31-torus 0-tiger (((III)I)((III)I)) - S1xC2x[S2*S2] = S1x[(S1xS2)*(S1xS2)]
209. 211-ditorus 40-tiger ((((II)I)I)(IIII)) - S1x[S3*S1]xT2 = S1x[T3*S3]
210. 211-ditorus 31-torus 0-tiger ((((II)I)I)((III)I)) - S1xC2x[T2*S2] = S1x[(S1xS2)*T3]
211. Duoditorus tiger ((((II)I)I)(((II)I)I)) - S1xC2xC2xC2 = S1x[T3*T3]
212. 220-tiger 40-tiger (((II)(II))(IIII)) - T2x[S3*C2] = S1x[(S1xC2)*S3]
213. 220-tiger 31-torus 0-tiger (((II)(II))((III)I)) - T2xC3xS2 = S1x[(S1xC2)*(S1xS2)]
214. Tiger/ditorus tiger (((II)(II))(((II)I)I)) - T2xC3xT2 = S1x[(S1xC2)*T3]
215. Duotiger tiger (((II)(II))((II)(II))) - S1x[(S1xC2)*(S1xC2)]
216. 22-torus 40-tiger (((II)II)(IIII)) - S1x[S3*S2]xS1 = S1x[(S2xS1)*S3]
217. 22-torus 31-torus 0-tiger (((II)II)((III)I)) - S1x[(S2xS1)*(S1xS2)] = S1x[S2*S1]x[S2*S1]
218. 211-ditorus 22-torus 0-tiger ((((II)I)I)((II)II)) - S1x[S2*S1]xC2xS1 = S1x[(S2xS1)*T3]
219. 220-tiger 22-torus 0-tiger (((II)(II))((II)II)) - S1x[S2*S1]xC3 = S1x[(S1xC2)*(S2xS1)]
220. 22-torus 22-torus 0-tiger (((II)II)((II)II)) - S1x[S2*S2]xC2 = S1x[(S2xS1)*(S2xS1)]
221. 431-tiger ((IIII)(III)I) - S2x[S3*S2]
222. 21-torus 41-tiger (((II)I)(IIII)I) - S2x[T2*S3] = S2x[S3*S1]xS1
223. 31-torus 31-tiger (((III)I)(III)I) - S2x[(S1xS2)*S2] = S2x[S2*S1]xS2
224. 31-torus 21-torus 1-tiger (((III)I)((II)I)I) - S2xC2x[S2*S1] = S2x[(S1xS2)*T2]
225. 211-ditorus 31-tiger ((((II)I)I)(III)I) - S2x[T3*S2] = S2x[S2*S1]xT2
226. 211-ditorus 21-torus 1-tiger ((((II)I)I)((II)I)I) - S2xC2xC2xS1 = S2x[T3*T2]
227. 220-tiger 31-tiger (((II)(II))(III)I) - S2x[(S1xC2)*S2] = S2x[S2*S1]xC2
228. 220-tiger 21-torus 1-tiger (((II)(II))((II)I)I) - S2xC2xC2xS1 = S2x[(S1xC2)*T2]
229. 22-torus 31-tiger (((II)II)(III)I) - S2x[S2*S2]xS1 = S2x[(S2xS1)*S2]
230. 22-torus 21-torus 1-tiger (((II)II)((II)I)I) - S2x[S2*S1]xC2 = S2x[(S2xS1)*T2]
231. 4220-triger ((IIII)(II)(II)) - S2x[S3*C2]
232. 31-torus 220-triger (((III)I)(II)(II)) - S2xC3xS2 = S2x[(S1xS2)*C2]
233. Ditorus triger ((((II)I)I)(II)(II)) - S2xC3xT2 = S2x[T3*C2]
234. Tiger triger (((II)(II))(II)(II)) - S2xS1xC4 = S2x[(S1xC2)*C2]
235. 22-torus 220-triger (((II)II)(II)(II)) - S2x[(S2xS1)*C2] = S2x[S2*C2]xS1
236. 422-tiger ((IIII)(II)II) - S3x[S3*S1]
237. 31-torus 22-tiger (((III)I)(II)II) - S3xC2xS2 = S3x[(S1xS2)*S1]
238. 211-ditorus 22-tiger ((((II)I)I)(II)II) - S3xC2xT2 = S3x[T3*S1]
239. 220-tiger 22-tiger (((II)(II))(II)II) - S3xS1xC3 = S3x[(S1xC2)*S1]
240. 22-torus 22-tiger (((II)II)(II)II) - S3xS2xC2 = S3x[(S2xS1)*S1]
241. 44-torus ((IIII)IIII) - S4xS3
242. 314-ditorus (((III)I)IIII) - S4xS1xS2
243. 2114-tritorus ((((II)I)I)IIII) - S4xT3
244. 220-tiger 4-torus (((II)(II))IIII) - S4xS1xC2
245. 224-ditorus (((II)II)IIII) - S4xS2xS1
246. 3320-triger ((III)(III)(II)) - S2x[S2*S2*S1]
247. 21-torus 320-triger (((II)I)(III)(II)) - S2x[S2*C2]xS1 = S2x[T2*S2*S1]
248. Duotorus triger (((II)I)((II)I)(II)) - S2xC3xC2 = S2x[T2*T2xS1]
249. 332-tiger ((III)(III)II) - S3x[S2*S2]
250. 21-torus 32-tiger (((II)I)(III)II) - S3x[S2*S1]xS1 = S3x[T2*S2]
251. 21-torus 21-torus 2-tiger (((II)I)((II)I)II) - S3xC2xC2 = S3x[T2*T2]
252. 3221-triger ((III)(II)(II)I) - S3x[S2*C2]
253. 21-torus 221-triger (((II)I)(II)(II)I) - S3xC3xS1 = S3x[T2*C2]
254. 323-tiger ((III)(II)III) - S4x[S2*S1]
255. 21-torus 23-tiger (((II)I)(II)III) - S4xC2xS1 = S4x[T2*S1]
256. 35-torus ((III)IIIII) - S5xS2
257. 215-ditorus (((II)I)IIIII) - S5xT2
258. Tetriger ((II)(II)(II)(II)) - S3xC4
259. 2222-triger ((II)(II)(II)II) - S4xC3
260. 224-tiger ((II)(II)IIII) - S5xC2
261. 26-torus ((II)IIIIII) - S6xS1