U-tiling: UQC5961
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2408 |
*22222 |
(6,7,2) |
{4,4,4,3,4,4} |
{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.... |
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
|
True
|
|
sqc12045
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,3,4,4} |
32 |
(6,7) |
G
|
False
|
|
sqc12076
|
|
I4122 |
98 |
tetragonal |
{4,4,4,3,4,4} |
32 |
(6,8) |
D
|
False
|
|
sqc7020
|
|
P4222 |
93 |
tetragonal |
{4,4,3,4,4,4} |
16 |
(6,7) |
Topological data
Vertex degrees | {4,4,4,3,4,4} |
2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.1:240:31 3 5 7 9 11 13 15 46 18 20 22 24 26 28 30 33 35 37 39 41 43 45 48 50 52 54 56 58 60 91 63 65 67 69 71 73 75 121 78 80 82 84 86 88 90 93 95 97 99 101 103 105 151 108 110 112 114 116 118 120 123 125 127 129 131 133 135 166 138 140 142 144 146 148 150 153 155 157 159 161 163 165 168 170 172 174 176 178 180 211 183 185 187 189 191 193 195 226 198 200 202 204 206 208 210 213 215 217 219 221 223 225 228 230 232 234 236 238 240,2 4 6 37 10 15 12 14 17 19 21 52 25 30 27 29 32 34 36 40 45 42 44 47 49 51 55 60 57 59 62 64 66 97 70 75 72 74 77 79 81 127 85 90 87 89 92 94 96 100 105 102 104 107 109 111 157 115 120 117 119 122 124 126 130 135 132 134 137 139 141 172 145 150 147 149 152 154 156 160 165 162 164 167 169 171 175 180 177 179 182 184 186 217 190 195 192 194 197 199 201 232 205 210 207 209 212 214 216 220 225 222 224 227 229 231 235 240 237 239,61 137 138 34 35 8 9 40 41 27 28 44 45 76 107 108 49 50 23 24 55 56 59 60 91 167 168 38 39 57 58 121 152 153 53 54 197 198 94 95 68 69 100 101 117 118 104 105 182 183 124 125 83 84 130 131 147 148 134 135 227 228 98 99 162 163 181 154 155 113 114 160 161 164 165 212 213 128 129 177 178 196 169 170 143 144 175 176 179 180 211 158 159 226 173 174 214 215 188 189 220 221 207 208 224 225 229 230 203 204 235 236 239 240 218 219 237 238 233 234:7 4 7 4 4 4 7 4 7 4 4 7 4 4 7 4 4 4 7 4 7 4 4 4,4 4 4 3 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 3 4 3 4 3 4 4 4 3> {(2, 33): 't1^-1', (2, 189): 't2*tau3^-1*t1^-1', (2, 190): 't2*tau3^-1*t1^-1', (2, 191): 'tau1^-1', (2, 184): 't2*tau3^-1*t1^-1', (2, 57): 't1', (2, 58): 't1', (2, 59): 't1', (2, 183): 't2*tau3^-1*t1^-1', (2, 176): 'tau3^-1', (2, 177): 'tau3^-1', (2, 178): 'tau3^-1*t2', (2, 179): 'tau3^-1*t2', (2, 45): 't1', (2, 56): 't1', (2, 63): 't3*tau2', (2, 40): 't1^-1', (1, 111): 't3^-1*tau2^-1', (0, 45): 't1', (2, 164): 'tau2*t3', (2, 165): 't1', (2, 166): 't1', (2, 167): 't1', (2, 161): 'tau2', (2, 162): 'tau2', (2, 163): 'tau2*t3', (2, 39): 't1^-1', (1, 171): 'tau3^-1*t2', (2, 146): 't2^-1', (2, 147): 't2^-1', (1, 231): 't1^-1*tau3^-1*t2', (2, 4): 't1', (0, 165): 'tau3^-1*t2', (2, 129): 'tau3*t2^-1', (2, 130): 'tau3*t2^-1', (2, 124): 'tau3*t2^-1', (1, 186): 't3^-1*tau2^-1', (2, 123): 'tau3*t2^-1', (2, 116): 't3^-1', (2, 117): 't3^-1', (1, 51): 't1', (2, 236): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 237): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 238): 't1^-1*tau3^-1*t2', (0, 105): 't3^-1*tau2^-1', (0, 180): 't3^-1*tau2^-1', (2, 234): 'tau2^-1*t3^-1', (2, 235): 'tau2^-1*t3^-1', (2, 228): 'tau2^-1*t3^-1', (2, 229): 'tau2^-1*t3^-1', (0, 225): 't1^-1*tau3^-1*t2', (2, 224): 'tau2*t3', (2, 99): 'tau2^-1*t3^-1', (2, 94): 'tau2^-1*t3^-1', (2, 223): 'tau2*t3', (2, 212): 't1', (2, 100): 'tau2^-1*t3^-1', (2, 209): 't2^-1*tau3*t1', (2, 211): 't1', (2, 207): 'tau1'}