U-tiling: UQC3573
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc767 |
*2224 |
(3,4,2) |
{3,8,4} |
{5.3.5}{5.5.3.3.5.5.3.3}{5.5.5.5} |
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
|
|
sqc7905
|
|
I4/mmm |
139 |
tetragonal |
{3,4,8} |
14 |
(3,4) |
|
G
|
False
|
|
sqc12365
|
|
I41/acd |
142 |
tetragonal |
{3,8,4} |
28 |
(3,5) |
|
D
|
False
|
|
sqc7906
|
|
P42/nnm |
134 |
tetragonal |
{3,4,8} |
14 |
(3,4) |
Topological data
| Vertex degrees | {3,8,4} |
| 2D vertex symbol | {5.3.5}{5.5.3.3.5.5.3.3}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.2:256:33 3 5 22 8 41 11 13 30 16 49 19 21 24 65 27 29 32 35 37 54 40 43 45 70 48 51 53 56 185 59 61 86 64 67 69 72 217 75 77 102 80 233 83 85 88 129 91 93 118 96 249 99 101 104 153 107 109 142 112 169 115 117 120 177 123 125 166 128 131 133 174 136 201 139 141 144 209 147 149 198 152 155 157 206 160 225 163 165 168 171 173 176 179 181 230 184 187 189 238 192 241 195 197 200 203 205 208 211 213 246 216 219 221 254 224 227 229 232 235 237 240 243 245 248 251 253 256,2 7 20 6 40 10 15 28 14 48 18 23 22 56 26 31 30 72 34 39 52 38 42 47 68 46 50 55 54 58 63 84 62 192 66 71 70 74 79 100 78 224 82 87 86 240 90 95 116 94 136 98 103 102 256 106 111 140 110 160 114 119 118 176 122 127 164 126 184 130 135 172 134 138 143 142 208 146 151 196 150 216 154 159 204 158 162 167 166 232 170 175 174 178 183 228 182 186 191 236 190 194 199 198 248 202 207 206 210 215 244 214 218 223 252 222 226 231 230 234 239 238 242 247 246 250 255 254,17 4 5 14 95 96 25 12 13 111 112 20 21 30 119 120 28 29 143 144 49 36 37 62 127 128 65 44 45 78 151 152 52 53 86 167 168 81 60 61 159 160 68 69 102 199 200 97 76 77 135 136 84 85 207 208 113 92 93 110 100 101 175 176 137 108 109 116 117 142 161 124 125 158 169 132 133 150 140 141 193 148 149 201 156 157 164 165 206 172 173 198 225 180 181 214 223 224 233 188 189 222 215 216 196 197 204 205 241 212 213 249 220 221 228 229 246 255 256 236 237 254 247 248 244 245 252 253:5 3 5 3 5 5 3 3 5 3 5 3 5 5 3 5 5 3 5 5 3 3 5 5 3 3 5 3 3 5 3 3,3 8 4 3 4 8 4 4 3 8 3 8 8 3 8 3 3 3 3 3 3 3 3 8 3 3 3 8> {(2, 189): 'tau1^-1', (1, 123): 't3', (2, 23): 't1^-1', (2, 184): 't3^-1', (0, 61): 't3^-1', (2, 181): 'tau1', (2, 176): 't3', (1, 247): 't2', (0, 181): 't3', (2, 45): 't2', (2, 174): 'tau3^-1', (2, 175): 'tau3^-1', (1, 227): 't3^-1', (2, 56): 't3^-1', (2, 166): 'tau2', (2, 167): 'tau2', (2, 160): 't3^-1', (0, 96): 't2', (1, 103): 't2', (2, 157): 't3^-1', (2, 30): 't1^-1', (2, 149): 't2', (1, 83): 't3', (0, 189): 't3^-1', (2, 144): 't2', (0, 149): 't2', (1, 75): 't2^-1', (2, 143): 't1', (2, 61): 't3^-1', (1, 195): 't2^-1', (0, 240): 't2', (2, 253): 'tau1*t3^-1', (1, 187): 't3^-1', (2, 255): 't2^-1*tau3*t1*tau2^-1', (0, 125): 't3', (2, 245): 'tau1^-1*t3', (2, 246): 't2*tau3^-1*t1^-1*tau2', (2, 247): 't2*tau3^-1*t1^-1*tau2', (2, 230): 'tau2*t1^-1*tau3^-1*t2', (2, 96): 't2', (0, 101): 't2', (2, 206): 'tau2', (2, 207): 'tau2', (2, 198): 'tau3^-1', (2, 199): 'tau3^-1', (2, 22): 't1^-1'}