U-tiling: UQC3264
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc248 |
*2323 |
(3,3,2) |
{3,4,3} |
{3.10.10}{10.10.10.10}{10.10.10} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc9241
|
|
P4232 |
208 |
cubic |
{3,4,3} |
22 |
(3,3) |
|
G
|
False
|
|
sqc9238
|
|
I213 |
199 |
cubic |
{3,4,3} |
22 |
(3,3) |
|
D
|
False
|
|
sqc9239
|
|
F-43m |
216 |
cubic |
{3,4,3} |
22 |
(3,3) |
Topological data
| Vertex degrees | {3,4,3} |
| 2D vertex symbol | {3.10.10}{10.10.10.10}{10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:144:19 20 4 6 31 32 10 12 73 74 16 18 22 24 109 110 28 30 34 36 127 128 40 42 61 62 46 48 85 86 52 54 97 98 58 60 64 66 115 116 70 72 76 78 133 134 82 84 88 90 121 122 94 96 100 102 139 140 106 108 112 114 118 120 124 126 130 132 136 138 142 144,43 3 5 12 91 9 11 67 15 17 30 85 21 23 36 121 27 29 109 33 35 115 39 41 54 45 47 60 61 51 53 133 57 59 63 65 102 69 71 108 127 75 77 114 103 81 83 126 87 89 132 93 95 138 139 99 101 105 107 111 113 117 119 144 123 125 129 131 135 137 141 143,2 45 46 17 18 8 93 94 41 42 14 69 70 20 87 88 83 84 26 123 124 53 54 32 111 112 101 102 38 117 118 44 71 72 50 63 64 56 135 136 131 132 62 125 126 68 74 129 130 137 138 80 105 106 86 107 108 92 119 120 98 141 142 104 110 143 144 116 122 128 134 140:3 10 3 3 10 10 10 3 10 10,3 4 3 3 4 3 3 4 3 3 4 3 4 3 3 3 3 4 3 3 3 3> {(2, 56): 't2^-1', (2, 57): 't2^-1', (0, 60): 't1', (0, 61): 't1', (0, 54): 'tau3^-1*t1^-1', (0, 55): 'tau3^-1*t1^-1', (1, 108): 't3^-1', (1, 96): 'tau2*t3*tau1^-1', (2, 32): 't3', (2, 33): 't3', (2, 34): 'tau2^-1', (2, 35): 'tau2^-1', (0, 138): 't2^-1', (1, 95): 'tau1', (2, 141): 'tau1*t3^-1*tau2^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (1, 83): 'tau2^-1', (1, 126): 't2^-1', (2, 140): 'tau1*t3^-1*tau2^-1', (0, 139): 't2^-1', (2, 142): 'tau1', (2, 143): 'tau1', (1, 102): 'tau3*t1', (2, 128): 't2^-1', (2, 129): 't2^-1', (0, 132): 'tau1^-1*t3*tau2', (0, 133): 'tau1^-1*t3*tau2', (0, 120): 't3^-1', (0, 121): 't3^-1', (1, 59): 'tau3^-1', (0, 114): 't2^-1', (0, 115): 't2^-1', (1, 54): 't2^-1', (2, 104): 'tau3*t1', (2, 106): 'tau3', (2, 107): 'tau3', (1, 18): 't1^-1', (2, 81): 't1^-1*tau3^-1'}