U-tiling: UQC3562
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc761 |
*2224 |
(3,4,2) |
{4,3,4} |
{3.10.10.3}{3.10.10}{10.10.10.10} |
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
|
|
sqc2036
|
|
P4/mmm |
123 |
tetragonal |
{4,3,4} |
9 |
(3,4) |
|
G
|
False
|
|
sqc12470
|
|
I41/acd |
142 |
tetragonal |
{4,3,4} |
36 |
(3,5) |
|
D
|
False
|
|
sqc8165
|
|
P42/nnm |
134 |
tetragonal |
{3,4,4} |
18 |
(3,4) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {3.10.10.3}{3.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<60.1:256:89 3 5 22 8 105 11 13 30 16 113 19 21 24 137 27 29 32 121 35 37 54 40 145 43 45 70 48 161 51 53 56 153 59 61 86 64 193 67 69 72 129 75 77 102 80 201 83 85 88 91 93 118 96 169 99 101 104 107 109 142 112 115 117 120 123 125 166 128 131 133 174 136 139 141 144 147 149 198 152 155 157 206 160 163 165 168 171 173 176 217 179 181 230 184 209 187 189 238 192 195 197 200 203 205 208 211 213 246 216 219 221 254 224 249 227 229 232 241 235 237 240 243 245 248 251 253 256,2 91 6 7 40 10 107 14 15 48 18 115 22 23 56 26 139 30 31 72 34 123 38 39 42 147 46 47 50 163 54 55 58 155 62 63 192 66 195 70 71 74 131 78 79 224 82 203 86 87 240 90 94 95 136 98 171 102 103 256 106 110 111 160 114 118 119 176 122 126 127 184 130 134 135 138 142 143 208 146 150 151 216 154 158 159 162 166 167 232 170 174 175 178 219 182 183 186 211 190 191 194 198 199 248 202 206 207 210 214 215 218 222 223 226 251 230 231 234 243 238 239 242 246 247 250 254 255,9 4 5 14 95 96 12 13 111 112 25 20 21 30 119 120 28 29 143 144 57 36 37 62 127 128 73 44 45 78 151 152 81 52 53 86 167 168 60 61 159 160 97 68 69 102 199 200 76 77 135 136 84 85 207 208 105 92 93 110 100 101 175 176 108 109 137 116 117 142 153 124 125 158 145 132 133 150 140 141 148 149 156 157 201 164 165 206 193 172 173 198 209 180 181 214 223 224 217 188 189 222 215 216 196 197 204 205 212 213 220 221 241 228 229 246 255 256 249 236 237 254 247 248 244 245 252 253:3 10 3 10 3 3 3 3 3 3 10 3 3 10 3 10 3 10 10 10 3 3 3 3,4 3 4 3 4 4 3 4 3 4 4 3 4 3 4 3 3 4 3 3 3 4 3 4 4 4 4 4 4 3 4 3 4 3 4 3> {(2, 189): 'tau1^-1', (1, 250): 't2^-1*tau3*t1*tau2^-1', (2, 184): 'tau1^-1', (0, 61): 't3^-1', (2, 181): 'tau1', (0, 48): 'tau2^-1', (1, 114): 't1', (2, 176): 'tau1', (0, 248): 't2^-1*tau3*t1*tau2^-1', (1, 247): 't2', (0, 181): 't3', (2, 45): 't2', (2, 174): 'tau3^-1', (2, 175): 'tau3^-1', (2, 40): 't2', (2, 56): 't3^-1', (2, 166): 'tau2', (2, 167): 'tau2', (1, 234): 'tau2^-1*t1*tau3*t2^-1', (1, 103): 't2', (2, 157): 't3^-1', (0, 24): 't1^-1', (1, 98): 'tau3', (2, 152): 't3^-1', (2, 23): 't1^-1', (2, 149): 't2', (0, 16): 't1^-1', (1, 82): 'tau2^-1', (2, 144): 't2', (0, 149): 't2', (2, 142): 't1', (2, 143): 't1', (2, 61): 't3^-1', (1, 66): 'tau3', (2, 253): 'tau1*t3^-1', (2, 254): 't2^-1*tau3*t1*tau2^-1', (2, 255): 't2^-1*tau3*t1*tau2^-1', (2, 248): 'tau1*t3^-1', (0, 125): 't3', (2, 245): 'tau1^-1*t3', (0, 240): 't2*tau3^-1*t1^-1*tau2', (1, 50): 'tau2^-1', (2, 240): 'tau1^-1*t3', (2, 238): 'tau2^-1*t1*tau3*t2^-1', (2, 239): 'tau2^-1*t1*tau3*t2^-1', (0, 96): 'tau3', (2, 198): 'tau3^-1', (0, 101): 't2', (1, 26): 't1^-1', (0, 80): 'tau2^-1', (2, 206): 'tau2', (2, 207): 'tau2', (0, 189): 't3^-1', (0, 64): 'tau3', (2, 199): 'tau3^-1', (2, 22): 't1^-1'}