U-tiling: UQC1003
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc739 |
*2224 |
(2,4,3) |
{10,3} |
{4.4.3.3.4.4.4.3.3.4}{4.4.3} |
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
|
|
sqc7545
|
|
I4/mmm |
139 |
tetragonal |
{10,3} |
12 |
(2,4) |
|
G
|
False
|
|
sqc12310
|
|
I41/acd |
142 |
tetragonal |
{10,3} |
24 |
(2,5) |
|
D
|
False
|
|
sqc7899
|
|
P42/nnm |
134 |
tetragonal |
{10,3} |
12 |
(2,4) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.4.3.3.4.4.4.3.3.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.1:256:17 4 5 38 39 40 25 12 13 46 47 48 20 21 54 55 56 28 29 70 71 72 49 36 37 65 44 45 52 53 81 60 61 190 191 192 68 69 97 76 77 222 223 224 84 85 238 239 240 113 92 93 134 135 136 100 101 254 255 256 137 108 109 158 159 160 116 117 174 175 176 161 124 125 182 183 184 169 132 133 140 141 206 207 208 193 148 149 214 215 216 201 156 157 164 165 230 231 232 172 173 225 180 181 233 188 189 196 197 246 247 248 204 205 241 212 213 249 220 221 228 229 236 237 244 245 252 253,2 7 20 6 96 10 15 28 14 112 18 23 22 120 26 31 30 144 34 39 52 38 128 42 47 68 46 152 50 55 54 168 58 63 84 62 160 66 71 70 200 74 79 100 78 136 82 87 86 208 90 95 116 94 98 103 102 176 106 111 140 110 114 119 118 122 127 164 126 130 135 172 134 138 143 142 146 151 196 150 154 159 204 158 162 167 166 170 175 174 178 183 228 182 224 186 191 236 190 216 194 199 198 202 207 206 210 215 244 214 218 223 252 222 226 231 230 256 234 239 238 248 242 247 246 250 255 254,9 3 5 22 8 11 13 30 16 25 19 21 24 27 29 32 57 35 37 54 40 73 43 45 70 48 81 51 53 56 59 61 86 64 97 67 69 72 75 77 102 80 83 85 88 105 91 93 118 96 99 101 104 107 109 142 112 137 115 117 120 153 123 125 166 128 145 131 133 174 136 139 141 144 147 149 198 152 155 157 206 160 201 163 165 168 193 171 173 176 209 179 181 230 184 217 187 189 238 192 195 197 200 203 205 208 211 213 246 216 219 221 254 224 241 227 229 232 249 235 237 240 243 245 248 251 253 256:3 4 4 3 4 4 4 4 4 4 3 3 3 4 3 4 4 3 4 4 3 4 4 3 4 3 4 3 4 3 4 3 3 4 3 3,10 3 3 10 10 3 10 3 10 3 10 3 3 3 3 3 3 3 10 3 3 3 3 10> {(1, 103): 'tau3', (0, 144): 't2', (1, 187): 't3^-1', (2, 56): 't3^-1', (2, 181): 't3', (1, 87): 'tau2^-1', (1, 123): 't3', (2, 248): 'tau1*t3^-1', (2, 101): 't2', (2, 144): 't2', (1, 119): 't1', (1, 99): 't2', (0, 120): 't3', (0, 184): 't3^-1', (0, 197): 't2^-1', (2, 61): 't3^-1', (1, 31): 't1^-1', (0, 176): 't3', (0, 253): 't2^-1', (1, 227): 't3^-1', (2, 149): 't2', (0, 246): 't2', (1, 247): 't2*tau3^-1*t1^-1*tau2', (0, 255): 't2^-1', (2, 189): 't3^-1', (2, 184): 'tau1^-1', (2, 152): 't3^-1', (0, 96): 't2', (2, 224): 't3^-1*tau1', (0, 247): 't2', (1, 59): 't3^-1', (2, 176): 'tau1', (2, 165): 't3^-1', (1, 55): 'tau2^-1', (0, 102): 't2', (1, 71): 'tau3', (0, 56): 't3^-1', (2, 40): 't2', (1, 195): 't2^-1', (1, 255): 't2^-1*tau3*t1*tau2^-1', }