U-tiling: UQC3779
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc828 |
*2224 |
(3,4,2) |
{8,3,3} |
{6.6.6.6.6.6.6.6}{6.4.6}{6.6.4} |
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
|
|
sqc1509
|
|
P4/mmm |
123 |
tetragonal |
{6,3,3} |
9 |
(3,4) |
|
G
|
False
|
|
sqc12309
|
|
I41/acd |
142 |
tetragonal |
{8,3,3} |
36 |
(3,5) |
|
D
|
False
|
|
sqc7419
|
|
P42/nnm |
134 |
tetragonal |
{3,3,8} |
18 |
(3,4) |
Topological data
| Vertex degrees | {8,3,3} |
| 2D vertex symbol | {6.6.6.6.6.6.6.6}{6.4.6}{6.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<76.1:256:17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 49 35 37 39 56 65 43 45 47 72 51 53 55 81 59 61 63 88 67 69 71 97 75 77 79 104 83 85 87 113 91 93 95 120 99 101 103 137 107 109 111 144 115 117 119 161 123 125 127 168 169 131 133 135 176 139 141 143 193 147 149 151 200 201 155 157 159 208 163 165 167 171 173 175 225 179 181 183 232 233 187 189 191 240 195 197 199 203 205 207 241 211 213 215 248 249 219 221 223 256 227 229 231 235 237 239 243 245 247 251 253 255,2 4 8 94 15 10 12 16 110 18 20 24 118 31 26 28 32 142 34 36 40 126 63 42 44 48 150 79 50 52 56 166 87 58 60 64 158 66 68 72 198 103 74 76 80 134 82 84 88 206 90 92 96 111 98 100 104 174 106 108 112 114 116 120 143 122 124 128 159 130 132 136 151 138 140 144 146 148 152 154 156 160 162 164 168 207 170 172 176 199 178 180 184 222 215 186 188 192 214 223 194 196 200 202 204 208 210 212 216 218 220 224 226 228 232 254 247 234 236 240 246 255 242 244 248 250 252 256,33 90 91 6 7 16 41 106 107 14 15 49 114 115 22 23 32 65 138 139 30 31 122 123 38 39 64 146 147 46 47 80 162 163 54 55 88 185 154 155 62 63 194 195 70 71 104 217 130 131 78 79 233 202 203 86 87 129 94 95 112 249 170 171 102 103 153 110 111 169 118 119 144 177 126 127 160 134 135 152 201 142 143 209 150 151 158 159 225 166 167 208 174 175 200 218 219 182 183 216 210 211 190 191 224 241 198 199 206 207 214 215 222 223 250 251 230 231 248 242 243 238 239 256 246 247 254 255:6 4 6 4 6 4 6 4 4 6 4 6 6 6 6 6 6 6 6 4 6 6 6 4,8 3 3 8 3 8 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 56): 't3^-1', (2, 191): 'tau1^-1', (1, 253): 't2^-1*tau3*t1*tau2^-1', (0, 63): 't3^-1', (1, 126): 't3', (0, 176): 't3', (2, 183): 'tau1', (1, 117): 't1', (0, 184): 't3^-1', (1, 246): 'tau1^-1*t3', (2, 63): 't3^-1', (2, 169): 'tau3^-1', (2, 170): 'tau3^-1', (1, 214): 'tau1^-1', (1, 101): 'tau3', (2, 161): 'tau2', (2, 162): 'tau2', (0, 191): 't3^-1', (2, 159): 't3^-1', (1, 222): 'tau1', (0, 144): 't2', (2, 151): 't2', (1, 85): 'tau2^-1', (0, 151): 't2', (2, 18): 't1^-1', (2, 225): 'tau2*t1^-1*tau3^-1*t2', (2, 137): 't1', (2, 138): 't1', (1, 78): 't2^-1', (1, 69): 'tau3', (0, 120): 't3', (2, 255): 'tau1*t3^-1', (2, 248): 't2^-1', (0, 127): 't3', (2, 250): 't2^-1*tau3*t1*tau2^-1', (1, 62): 't3^-1', (1, 245): 't2*tau3^-1*t1^-1*tau2', (2, 247): 'tau1^-1*t3', (1, 53): 'tau2^-1', (2, 241): 't2*tau3^-1*t1^-1*tau2', (2, 242): 't2*tau3^-1*t1^-1*tau2', (0, 183): 't3', (0, 96): 't2', (1, 254): 'tau1*t3^-1', (0, 103): 't2', (2, 17): 't1^-1', (1, 29): 't1^-1', (1, 150): 't2', (2, 47): 't2', (2, 201): 'tau2', (2, 202): 'tau2', (2, 192): 't2^-1', (2, 193): 'tau3^-1', (2, 194): 'tau3^-1'}