U-tiling: UQC3504
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc568 |
*2224 |
(3,3,2) |
{3,3,4} |
{10.4.10}{10.10.4}{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
|
|
sqc1442
|
|
P4/mmm |
123 |
tetragonal |
{3,4,3} |
9 |
(3,3) |
|
G
|
False
|
|
sqc12039
|
|
I41/acd |
142 |
tetragonal |
{3,3,4} |
36 |
(3,4) |
|
D
|
False
|
|
sqc6973
|
|
P42/nnm |
134 |
tetragonal |
{3,3,4} |
18 |
(3,3) |
Topological data
| Vertex degrees | {3,3,4} |
| 2D vertex symbol | {10.4.10}{10.10.4}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.2:224:15 3 5 7 22 10 12 14 17 19 21 24 26 28 43 31 33 35 57 38 40 42 45 47 49 71 52 54 56 59 61 63 85 66 68 70 73 75 77 99 80 82 84 87 89 91 120 94 96 98 101 103 105 141 108 110 112 148 115 117 119 122 124 126 169 129 131 133 176 136 138 140 143 145 147 150 152 154 197 157 159 161 204 164 166 168 171 173 175 178 180 182 211 185 187 189 218 192 194 196 199 201 203 206 208 210 213 215 217 220 222 224,2 6 11 82 35 9 13 96 42 16 20 25 103 49 23 27 124 63 30 34 53 110 37 41 67 131 44 48 74 145 51 55 138 168 58 62 88 173 65 69 117 196 72 76 180 210 79 83 95 119 86 90 152 224 93 97 140 100 104 123 154 107 111 137 161 114 118 130 121 125 182 128 132 189 135 139 142 146 179 203 149 153 172 156 160 186 194 163 167 193 187 170 174 217 177 181 184 188 191 195 198 202 214 222 205 209 221 215 212 216 219 223,8 4 5 83 84 11 12 97 98 22 18 19 104 105 25 26 125 126 50 32 33 111 112 64 39 40 132 133 71 46 47 146 147 53 54 139 140 85 60 61 174 175 67 68 118 119 74 75 181 182 92 81 82 88 89 153 154 95 96 120 102 103 134 109 110 127 116 117 123 124 130 131 137 138 176 144 145 169 151 152 183 158 159 195 196 190 165 166 188 189 172 173 179 180 186 187 193 194 211 200 201 223 224 218 207 208 216 217 214 215 221 222:10 4 10 4 4 4 4 10 4 10 10 10 10 10 4 4,3 3 4 3 4 3 3 4 3 4 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> {(2, 189): 'tau1', (1, 123): 't1', (2, 63): 't2^-1', (0, 63): 't2^-1', (2, 180): 'tau2', (2, 181): 'tau2', (1, 115): 't2^-1', (0, 49): 't3^-1', (2, 49): 't3^-1', (2, 173): 'tau3^-1', (2, 174): 'tau3^-1', (1, 108): 't3', (0, 161): 't3^-1', (2, 19): 't1^-1', (1, 102): 't1', (1, 88): 'tau3', (1, 157): 'tau1', (1, 90): 't2', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 154): 'tau1', (2, 27): 't1^-1', (2, 20): 't1^-1', (1, 213): 'tau1^-1*t3', (2, 145): 'tau2', (2, 146): 'tau2', (1, 214): 't2*tau3^-1*t1^-1*tau2', (1, 74): 'tau2^-1', (0, 140): 't3^-1', (2, 133): 't3^-1', (1, 66): 't2^-1', (2, 124): 't1', (2, 126): 't2', (0, 126): 't2', (1, 60): 'tau3', (1, 216): 't2', (1, 52): 't3^-1', (1, 46): 'tau2^-1', (1, 221): 't2^-1*tau3*t1*tau2^-1', (1, 220): 'tau1*t3^-1', (2, 222): 't2^-1*tau3*t1*tau2^-1', (2, 223): 't2^-1*tau3*t1*tau2^-1', (2, 216): 't2*tau3^-1*t1^-1*tau2', (2, 217): 'tau1*t3^-1', (1, 192): 'tau1', (2, 215): 't2*tau3^-1*t1^-1*tau2', (2, 196): 't3^-1*tau1', (0, 196): 't3^-1'}