U-tiling: UQC3556
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc757 |
*2224 |
(3,4,2) |
{8,3,4} |
{3.5.5.3.3.5.5.3}{3.5.5}{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
|
|
sqc7635
|
|
I4/mmm |
139 |
tetragonal |
{4,8,3} |
14 |
(3,4) |
|
G
|
False
|
|
sqc12320
|
|
I41/acd |
142 |
tetragonal |
{8,3,4} |
28 |
(3,5) |
|
D
|
False
|
|
sqc7871
|
|
P42/nnm |
134 |
tetragonal |
{8,3,4} |
14 |
(3,4) |
Topological data
| Vertex degrees | {8,3,4} |
| 2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.2:256:33 3 5 94 8 41 11 13 110 16 49 19 21 118 24 65 27 29 142 32 35 37 126 40 43 45 150 48 51 53 166 56 185 59 61 158 64 67 69 198 72 217 75 77 134 80 233 83 85 206 88 129 91 93 96 249 99 101 174 104 153 107 109 112 169 115 117 120 177 123 125 128 131 133 136 201 139 141 144 209 147 149 152 155 157 160 225 163 165 168 171 173 176 179 181 222 184 187 189 214 192 241 195 197 200 203 205 208 211 213 216 219 221 224 227 229 254 232 235 237 246 240 243 245 248 251 253 256,2 35 6 7 96 10 43 14 15 112 18 51 22 23 120 26 67 30 31 144 34 38 39 128 42 46 47 152 50 54 55 168 58 187 62 63 160 66 70 71 200 74 219 78 79 136 82 235 86 87 208 90 131 94 95 98 251 102 103 176 106 155 110 111 114 171 118 119 122 179 126 127 130 134 135 138 203 142 143 146 211 150 151 154 158 159 162 227 166 167 170 174 175 178 182 183 224 186 190 191 216 194 243 198 199 202 206 207 210 214 215 218 222 223 226 230 231 256 234 238 239 248 242 246 247 250 254 255,17 4 5 14 39 40 25 12 13 47 48 20 21 30 55 56 28 29 71 72 49 36 37 62 65 44 45 78 52 53 86 81 60 61 191 192 68 69 102 97 76 77 223 224 84 85 239 240 113 92 93 110 135 136 100 101 255 256 137 108 109 159 160 116 117 142 175 176 161 124 125 158 183 184 169 132 133 150 140 141 207 208 193 148 149 215 216 201 156 157 164 165 206 231 232 172 173 198 225 180 181 214 233 188 189 222 196 197 247 248 204 205 241 212 213 249 220 221 228 229 246 236 237 254 244 245 252 253:3 5 3 5 3 5 3 5 5 5 5 3 5 5 3 5 3 5 3 3 5 3 3 3 3 3 3 5 5 3 5 5,8 3 4 3 4 3 4 3 4 8 8 3 3 3 8 3 3 3 3 8 3 8 3 3 3 8 8 3> {(2, 189): 'tau1^-1', (1, 250): 't2^-1', (2, 56): 't3^-1', (1, 255): 't2^-1*tau3*t1*tau2^-1', (2, 61): 't3^-1', (2, 181): 'tau1', (1, 242): 't2', (2, 176): 't3', (2, 254): 't2^-1', (1, 247): 't2*tau3^-1*t1^-1*tau2', (0, 53): 'tau2^-1', (2, 45): 't2', (0, 173): 'tau3^-1', (2, 184): 't3^-1', (2, 160): 't3^-1', (1, 103): 'tau3', (2, 157): 't3^-1', (0, 29): 't1^-1', (2, 149): 't2', (2, 144): 't2', (1, 87): 'tau2^-1', (0, 21): 't1^-1', (2, 246): 't2', (1, 71): 'tau3', (2, 253): 'tau1*t3^-1', (0, 248): 't2^-1', (0, 253): 't2^-1*tau3*t1*tau2^-1', (2, 245): 'tau1^-1*t3', (0, 240): 't2', (2, 247): 't2', (1, 55): 'tau2^-1', (1, 119): 't1', (0, 237): 'tau2^-1*t1*tau3*t2^-1', (2, 103): 't2', (2, 96): 't2', (1, 31): 't1^-1', (0, 85): 'tau2^-1', (0, 197): 'tau3^-1'}