U-tiling: UQC3081
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2327 |
*2244 |
(2,6,6) |
{8,3} |
{4.4.4.4.4.4.4.4}{4.4.4} |
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
|
|
sqc11778
|
|
P4/nmm |
129 |
tetragonal |
{8,3} |
24 |
(2,6) |
|
G
|
False
|
|
sqc11771
|
|
I41/a |
88 |
tetragonal |
{8,3,3} |
24 |
(3,7) |
|
D
|
False
|
|
sqc11770
|
|
I41/amd |
141 |
tetragonal |
{8,3} |
24 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<68.1:224:85 86 17 18 7 8 23 24 95 96 97 98 99 100 21 22 109 110 111 112 113 114 59 60 35 36 65 66 123 124 125 126 141 142 73 74 49 50 79 80 151 152 153 154 155 156 63 64 165 166 167 168 127 128 77 78 137 138 139 140 101 102 91 92 107 108 105 106 157 158 119 120 163 164 143 144 133 134 149 150 147 148 161 162 211 212 199 200 175 176 205 206 221 222 223 224 197 198 213 214 189 190 219 220 207 208 209 210 203 204 217 218,29 3 5 13 9 12 11 42 43 17 19 27 23 26 25 56 31 33 41 37 40 39 45 47 55 51 54 53 183 59 61 69 65 68 67 196 211 73 75 83 79 82 81 224 127 87 89 97 93 96 95 140 155 101 103 111 107 110 109 168 169 115 117 125 121 124 123 182 129 131 139 135 138 137 197 143 145 153 149 152 151 210 157 159 167 163 166 165 171 173 181 177 180 179 185 187 195 191 194 193 199 201 209 205 208 207 213 215 223 219 222 221,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,8 3 8 3 3 3 8 3 8 3 8 3 8 3 8 3 3 8 3 3 3 3 3 3> {(0, 29): 'tau2^-1*t3^-1', (0, 126): 'tau3^-1*t2', (0, 51): 't2', (0, 185): 'tau1^-1', (0, 169): 't3*tau2*t1^-1*tau3^-1*t2', (0, 171): 'tau1', (0, 190): 'tau1^-1', (0, 43): 'tau3*t2^-1', (0, 148): 't2', (0, 1): 't1^-1', (0, 183): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 45): 't2', (0, 129): 't2^-1', (0, 57): 't3^-1*tau2^-1', (0, 162): 't3^-1', (0, 157): 't3^-1', (0, 170): 'tau1', (0, 59): 't3^-1', (0, 36): 't3', (0, 156): 't3^-1', (0, 127): 'tau3^-1*t2', (0, 176): 'tau1', (0, 14): 't1^-1', (0, 28): 'tau2^-1*t3^-1', (0, 50): 't2', (0, 191): 'tau1^-1', (0, 168): 't3*tau2*t1^-1*tau3^-1*t2', (0, 149): 't2', (0, 42): 'tau3*t2^-1', (0, 0): 't1^-1', (0, 184): 'tau1^-1', (0, 182): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 163): 't3^-1', (0, 44): 't2', (0, 142): 't2', (0, 15): 't1^-1', (0, 56): 't3^-1*tau2^-1', (0, 37): 't3', (0, 177): 'tau1', (0, 58): 't3^-1', }