U-tiling: UQC88
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc62 |
*344 |
(2,2,2) |
{12,4} |
{3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3} |
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
|
|
sqc10789
|
|
Pm-3n |
223 |
cubic |
{4,12} |
12 |
(2,2) |
|
G
|
False
|
|
sqc10871
|
|
I-43d |
220 |
cubic |
{4,12} |
12 |
(2,2) |
|
D
|
False
|
|
sqc4970
|
|
Pm-3m |
221 |
cubic |
{4,12} |
6 |
(2,2) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:192:21 22 4 33 34 8 49 50 12 73 74 16 77 78 20 24 113 114 28 105 106 32 36 69 70 40 85 86 44 141 142 48 52 97 98 56 121 122 60 133 134 64 129 130 68 72 76 80 109 110 84 88 165 166 92 161 162 96 100 169 170 104 108 112 116 145 146 120 124 153 154 128 132 136 185 186 140 144 148 181 182 152 156 177 178 160 164 168 172 189 190 176 180 184 188 192,9 3 24 13 7 36 11 52 15 76 29 19 80 41 23 45 27 116 31 108 57 35 61 39 72 43 88 47 144 85 51 89 55 100 59 124 63 136 105 67 132 109 71 121 75 129 79 133 83 112 87 91 168 141 95 164 145 99 149 103 172 107 111 161 115 165 119 148 123 169 127 156 131 135 173 139 188 143 147 151 184 181 155 185 159 180 163 167 171 175 192 189 179 183 187 191,2 7 8 6 10 19 20 14 27 28 18 22 39 40 26 30 47 48 34 55 56 38 42 67 68 46 50 83 84 54 58 95 96 62 103 104 66 70 99 100 74 119 120 78 127 128 82 86 123 124 90 139 140 94 98 102 106 151 152 110 155 156 114 159 160 118 122 126 130 163 164 134 167 168 138 142 175 176 146 179 180 150 154 158 162 166 170 187 188 174 178 182 191 192 186 190:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,12 4 4 4 12 4 12 4 12 4 12 12> {(0, 184): 't2', (0, 185): 't2', (1, 124): 'tau1', (0, 60): 't2', (0, 61): 't2', (1, 112): 'tau2^-1', (0, 176): 'tau3*t1', (0, 173): 'tau2*t3*tau1^-1', (1, 119): 'tau3^-1', (0, 181): 'tau1', (1, 107): 't3^-1', (1, 108): 't2^-1', (0, 44): 'tau2^-1', (0, 45): 'tau2^-1', (1, 88): 'tau3^-1', (0, 188): 'tau1*t3^-1*tau2^-1', (0, 28): 't3', (0, 29): 't3', (0, 144): 'tau3', (0, 145): 'tau3', (0, 148): 'tau1^-1', (1, 76): 't3', (0, 12): 't1^-1', (0, 13): 't1^-1', (1, 191): 'tau1*t3^-1*tau2^-1', (1, 184): 'tau1^-1*t3*tau2', (0, 177): 'tau3*t1', (1, 188): 't2^-1', (1, 63): 't2', (1, 179): 'tau3*t1', (1, 183): 'tau1', (1, 47): 'tau2^-1', (1, 32): 't1^-1', (1, 136): 'tau3^-1*t1^-1', (1, 139): 't2^-1', (1, 15): 't1^-1'}