U-tiling: UQC818
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc634 |
*2224 |
(2,4,3) |
{5,3} |
{8.3.6.3.8}{3.6.6} |
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
|
|
sqc7996
|
|
I4/mmm |
139 |
tetragonal |
{5,3} |
16 |
(2,4) |
|
G
|
False
|
|
sqc12409
|
|
I41/acd |
142 |
tetragonal |
{3,5} |
32 |
(2,5) |
|
D
|
False
|
|
sqc7989
|
|
P42/nnm |
134 |
tetragonal |
{5,3} |
16 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {8.3.6.3.8}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<68.2:256:17 4 5 38 39 96 25 12 13 46 47 112 20 21 54 55 120 28 29 70 71 144 49 36 37 128 65 44 45 152 52 53 168 81 60 61 190 191 160 68 69 200 97 76 77 222 223 136 84 85 238 239 208 113 92 93 134 135 100 101 254 255 176 137 108 109 158 159 116 117 174 175 161 124 125 182 183 169 132 133 140 141 206 207 193 148 149 214 215 201 156 157 164 165 230 231 172 173 225 180 181 224 233 188 189 216 196 197 246 247 204 205 241 212 213 249 220 221 228 229 256 236 237 248 244 245 252 253,2 35 12 6 8 10 43 14 16 18 51 28 22 24 26 67 30 32 34 60 38 40 42 76 46 48 50 84 54 56 58 187 62 64 66 100 70 72 74 219 78 80 82 235 86 88 90 131 108 94 96 98 251 102 104 106 155 110 112 114 171 140 118 120 122 179 156 126 128 130 148 134 136 138 203 142 144 146 211 150 152 154 158 160 162 227 204 166 168 170 196 174 176 178 212 182 184 186 220 190 192 194 243 198 200 202 206 208 210 214 216 218 222 224 226 244 230 232 234 252 238 240 242 246 248 250 254 256,33 3 5 7 16 41 11 13 15 49 19 21 23 32 65 27 29 31 35 37 39 64 43 45 47 80 51 53 55 88 185 59 61 63 67 69 71 104 217 75 77 79 233 83 85 87 129 91 93 95 112 249 99 101 103 153 107 109 111 169 115 117 119 144 177 123 125 127 160 131 133 135 152 201 139 141 143 209 147 149 151 155 157 159 225 163 165 167 208 171 173 175 200 179 181 183 216 187 189 191 224 241 195 197 199 203 205 207 211 213 215 219 221 223 227 229 231 248 235 237 239 256 243 245 247 251 253 255:6 3 8 3 8 3 8 3 8 6 6 3 3 3 6 3 3 3 3 6 3 6 3 3 3 6 6 3,3 5 3 3 5 3 5 5 5 3 5 3 3 3 5 3 3 3 5 3 5 5 3 3 3 5 5 5 5 3 5 5> {(0, 247): 't2*tau3^-1*t1^-1*tau2', (0, 144): 't2', (0, 231): 'tau2*t1^-1*tau3^-1*t2', (1, 251): 'tau1*t3^-1', (1, 131): 't2^-1', (2, 63): 't3^-1', (2, 47): 't2', (0, 245): 't2', (1, 123): 't3', (0, 102): 't2', (0, 55): 'tau2^-1', (0, 160): 't3^-1', (0, 87): 'tau2^-1', (1, 211): 'tau1^-1', (0, 198): 't2^-1', (2, 191): 'tau1^-1', (0, 184): 't3^-1', (0, 175): 'tau3^-1', (1, 75): 't2^-1', (2, 151): 't2', (0, 199): 'tau3^-1', (1, 194): 't2^-1', (0, 176): 't3', (0, 253): 't2^-1', (2, 96): 't2', (2, 240): 't2', (1, 250): 't2^-1', (1, 219): 'tau1', (0, 96): 't2', (2, 255): 'tau1*t3^-1', (0, 23): 't1^-1', (1, 59): 't3^-1', (1, 243): 'tau1^-1*t3', (2, 183): 'tau1', (2, 159): 't3^-1', (0, 143): 't1', (0, 56): 't3^-1', (2, 247): 'tau1^-1*t3', }