U-tiling: UQC4302
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1156 |
*2224 |
(4,4,2) |
{4,4,4,4} |
{3.6.6.3}{3.6.3.6}{6.6.6.6}{6.6.... |
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
|
|
sqc9127
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4,4} |
18 |
(4,4) |
G
|
False
|
|
sqc12813
|
|
I41/acd |
142 |
tetragonal |
{4,4,4,4} |
36 |
(4,5) |
D
|
False
|
|
sqc9139
|
|
P42/nnm |
134 |
tetragonal |
{4,4,4,4} |
18 |
(4,4) |
Topological data
Vertex degrees | {4,4,4,4} |
2D vertex symbol | {3.6.6.3}{3.6.3.6}{6.6.6.6}{6.6.6.6} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<93.2:288:19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 73 48 50 52 54 57 59 61 63 91 66 68 70 72 75 77 79 81 109 84 86 88 90 93 95 97 99 127 102 104 106 108 111 113 115 117 154 120 122 124 126 129 131 133 135 181 138 140 142 144 190 147 149 151 153 156 158 160 162 217 165 167 169 171 226 174 176 178 180 183 185 187 189 192 194 196 198 253 201 203 205 207 262 210 212 214 216 219 221 223 225 228 230 232 234 271 237 239 241 243 280 246 248 250 252 255 257 259 261 264 266 268 270 273 275 277 279 282 284 286 288,2 21 6 41 8 45 11 30 15 50 17 54 20 24 59 26 63 29 33 77 35 81 38 57 42 44 47 75 51 53 56 60 62 65 93 69 212 71 216 74 78 80 83 111 87 248 89 252 92 96 266 98 270 101 129 105 149 107 153 110 114 284 116 288 119 156 123 176 125 180 128 132 194 134 198 137 183 141 203 143 207 146 192 150 152 155 159 230 161 234 164 219 168 239 170 243 173 228 177 179 182 186 257 188 261 191 195 197 200 255 204 206 209 264 213 215 218 222 275 224 279 227 231 233 236 273 240 242 245 282 249 251 254 258 260 263 267 269 272 276 278 281 285 287,10 4 5 15 16 107 108 13 14 125 126 28 22 23 33 34 134 135 31 32 161 162 64 40 41 69 70 143 144 82 49 50 87 88 170 171 91 58 59 96 97 188 189 67 68 179 180 109 76 77 114 115 224 225 85 86 152 153 94 95 233 234 118 103 104 123 124 112 113 197 198 121 122 154 130 131 159 160 172 139 140 177 178 163 148 149 168 169 157 158 166 167 175 176 226 184 185 231 232 217 193 194 222 223 235 202 203 240 241 251 252 244 211 212 249 250 242 243 220 221 229 230 238 239 247 248 271 256 257 276 277 287 288 280 265 266 285 286 278 279 274 275 283 284:3 6 3 6 6 6 3 3 3 6 3 6 6 3 6 6 3 6 6 3 6 3 6 3 6 3 6 3 3 6 3 3,4 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 4 4 4 4 4 4 4 4> {(2, 188): 'tau2', (2, 63): 't3^-1', (0, 63): 't3^-1', (2, 187): 'tau2', (1, 112): 't2', (2, 176): 't3^-1', (1, 116): 't2', (2, 50): 't2', (2, 51): 't2', (2, 45): 't2', (2, 168): 't2', (2, 41): 't3', (2, 42): 't3', (2, 171): 't3^-1', (1, 224): 't2^-1', (2, 167): 't2', (2, 160): 't1', (2, 161): 't1', (2, 162): 't2', (2, 284): 'tau1*t3^-1', (2, 285): 'tau1*t3^-1', (2, 286): 't2^-1*tau3*t1*tau2^-1', (1, 218): 't2^-1', (1, 92): 't3', (1, 209): 't3^-1', (2, 277): 't2*tau3^-1*t1^-1*tau2', (1, 83): 't2^-1', (1, 254): 't3^-1', (2, 279): 'tau1*t3^-1', (2, 275): 'tau1^-1*t3', (2, 141): 't3', (2, 133): 't1', (2, 134): 't1', (0, 135): 't3', (2, 252): 't3^-1*tau1', (2, 248): 'tau1', (2, 249): 'tau1', (0, 252): 't3^-1', (2, 287): 't2^-1*tau3*t1*tau2^-1', (2, 240): 'tau1^-1', (1, 182): 't3^-1', (2, 239): 'tau1^-1', (2, 232): 'tau2', (2, 233): 'tau2', (0, 108): 't2', (2, 224): 'tau3^-1', (0, 216): 't2^-1', (2, 223): 'tau3^-1', (1, 274): 't2', (2, 276): 'tau1^-1*t3', (2, 207): 'tau1^-1', (0, 207): 't3^-1', (2, 196): 'tau3^-1', (2, 197): 'tau3^-1', (2, 198): 'tau1', (2, 278): 't2*tau3^-1*t1^-1*tau2'}