U-tiling: UQC3589
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc778 |
*2224 |
(3,4,2) |
{3,4,4} |
{10.3.10}{10.10.3.3}{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
|
|
sqc2169
|
|
P4/mmm |
123 |
tetragonal |
{4,3,4} |
9 |
(3,4) |
|
G
|
False
|
|
sqc12466
|
|
I41/acd |
142 |
tetragonal |
{3,4,4} |
36 |
(3,5) |
|
D
|
False
|
|
sqc8155
|
|
P42/nnm |
134 |
tetragonal |
{3,4,4} |
18 |
(3,4) |
Topological data
| Vertex degrees | {3,4,4} |
| 2D vertex symbol | {10.3.10}{10.10.3.3}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.2:256:17 3 5 14 8 25 11 13 16 19 21 30 24 27 29 32 49 35 37 62 40 65 43 45 78 48 51 53 86 56 81 59 61 64 67 69 102 72 97 75 77 80 83 85 88 113 91 93 110 96 99 101 104 137 107 109 112 115 117 142 120 161 123 125 158 128 169 131 133 150 136 139 141 144 193 147 149 152 201 155 157 160 163 165 206 168 171 173 198 176 225 179 181 214 184 233 187 189 222 192 195 197 200 203 205 208 241 211 213 216 249 219 221 224 227 229 246 232 235 237 254 240 243 245 248 251 253 256,2 7 12 6 40 10 15 14 48 18 23 28 22 56 26 31 30 72 34 39 60 38 42 47 76 46 50 55 84 54 58 63 62 192 66 71 100 70 74 79 78 224 82 87 86 240 90 95 108 94 136 98 103 102 256 106 111 110 160 114 119 140 118 176 122 127 156 126 184 130 135 148 134 138 143 142 208 146 151 150 216 154 159 158 162 167 204 166 232 170 175 196 174 178 183 212 182 186 191 220 190 194 199 198 248 202 207 206 210 215 214 218 223 222 226 231 244 230 234 239 252 238 242 247 246 250 255 254,9 4 5 94 95 96 12 13 110 111 112 25 20 21 118 119 120 28 29 142 143 144 57 36 37 126 127 128 73 44 45 150 151 152 81 52 53 166 167 168 60 61 158 159 160 97 68 69 198 199 200 76 77 134 135 136 84 85 206 207 208 105 92 93 100 101 174 175 176 108 109 137 116 117 153 124 125 145 132 133 140 141 148 149 156 157 201 164 165 193 172 173 209 180 181 222 223 224 217 188 189 214 215 216 196 197 204 205 212 213 220 221 241 228 229 254 255 256 249 236 237 246 247 248 244 245 252 253:10 3 10 3 3 3 3 10 3 10 10 3 10 3 10 3 3 10 3 3 3 3 3 3,3 4 4 4 4 3 4 4 4 4 3 4 3 4 3 4 4 3 4 4 4 3 4 3 3 3 3 3 3 4 3 4 3 4 3 4> {(0, 56): 't3^-1', (2, 23): 't1^-1', (2, 184): 'tau1^-1', (0, 61): 't3^-1', (0, 224): 't3^-1', (1, 243): 'tau1^-1*t3', (2, 176): 'tau1', (1, 123): 't3', (1, 247): 't2', (0, 181): 'tau1', (2, 56): 't3^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (2, 175): 'tau3^-1', (2, 40): 't2', (0, 45): 't2', (2, 165): 'tau2', (2, 166): 'tau2', (2, 167): 'tau2', (1, 35): 't3', (1, 103): 't2', (2, 30): 't1^-1', (2, 152): 't3^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (0, 189): 'tau1^-1', (2, 144): 't2', (0, 72): 't2^-1', (0, 149): 't2', (2, 141): 't1', (1, 75): 't2^-1', (2, 143): 't1', (1, 179): 'tau1', (2, 253): 't2^-1*tau3*t1*tau2^-1', (0, 120): 't3', (2, 255): 't2^-1*tau3*t1*tau2^-1', (2, 248): 'tau1*t3^-1', (1, 251): 'tau1*t3^-1', (0, 125): 't3', (1, 187): 'tau1^-1', (2, 245): 't2*tau3^-1*t1^-1*tau2', (2, 246): 't2*tau3^-1*t1^-1*tau2', (2, 247): 't2*tau3^-1*t1^-1*tau2', (2, 240): 'tau1^-1*t3', (0, 253): 'tau1*t3^-1', (0, 245): 'tau1^-1*t3', (0, 232): 't3', (2, 230): 'tau2*t1^-1*tau3^-1*t2', (1, 147): 't2', (2, 205): 'tau2', (2, 206): 'tau2', (2, 207): 'tau2', (2, 197): 'tau3^-1', (2, 198): 'tau3^-1', (2, 199): 'tau3^-1', (0, 144): 't2'}