U-tiling: UQC516
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc348 |
*2224 |
(2,4,3) |
{4,3} |
{4.8.8.4}{8.4.8} |
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
|
|
sqc1255
|
|
P4/mmm |
123 |
tetragonal |
{4,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc11813
|
|
I41/acd |
142 |
tetragonal |
{3,4} |
32 |
(2,4) |
|
D
|
False
|
|
sqc6638
|
|
P42/nnm |
134 |
tetragonal |
{4,3} |
16 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.8.8.4}{8.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.1:224:8 16 17 5 34 35 23 24 12 41 42 22 19 48 49 26 62 63 50 44 45 33 64 58 59 40 71 47 72 73 54 167 168 85 61 86 87 68 195 196 75 209 210 92 100 101 82 118 119 89 223 224 121 122 96 139 140 120 103 153 154 134 142 143 110 160 161 127 149 150 117 124 181 182 170 171 131 188 189 177 178 138 176 145 202 203 169 152 183 198 199 159 190 205 206 166 173 216 217 180 212 213 187 219 220 194 211 201 218 208 215 222,2 4 6 84 9 11 13 98 16 18 20 105 23 25 27 126 30 32 34 112 37 39 41 133 44 46 48 147 51 53 55 140 58 60 62 175 65 67 69 119 72 74 76 182 79 81 83 86 88 90 154 93 95 97 100 102 104 107 109 111 114 116 118 121 123 125 128 130 132 135 137 139 142 144 146 149 151 153 156 158 160 196 163 165 167 189 170 172 174 177 179 181 184 186 188 191 193 195 198 200 202 224 205 207 209 217 212 214 216 219 221 223,78 3 81 82 7 92 10 95 96 14 99 17 102 103 21 120 24 123 124 28 106 31 109 110 35 127 38 130 131 42 141 45 144 145 49 134 52 137 138 56 169 59 172 173 63 113 66 116 117 70 176 73 179 180 77 80 84 148 87 151 152 91 94 98 101 105 108 112 115 119 122 126 129 133 136 140 143 147 150 154 190 157 193 194 161 183 164 186 187 168 171 175 178 182 185 189 192 196 218 199 221 222 203 211 206 214 215 210 213 217 220 224:4 8 4 8 4 4 4 4 4 8 8 4 8 8 4 8 4 8 4 4,4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3> {(0, 223): 't2^-1', (1, 48): 'tau2^-1', (2, 56): 'tau3', (2, 210): 't2*tau3^-1*t1^-1*tau2', (0, 173): 't2^-1', (1, 223): 't2^-1*tau3*t1*tau2^-1', (0, 63): 't2^-1', (2, 17): 't1^-1', (2, 70): 'tau2^-1', (0, 163): 't3^-1', (2, 73): 'tau2^-1', (1, 125): 't1', (0, 174): 't2^-1', (2, 25): 't1^-1', (0, 126): 't2', (2, 45): 'tau2^-1', (2, 59): 'tau3', (2, 199): 'tau2*t1^-1*tau3^-1*t2', (1, 62): 'tau3', (0, 222): 't2^-1', (2, 42): 'tau2^-1', (2, 60): 'tau3', (2, 214): 't2*tau3^-1*t1^-1*tau2', (1, 216): 't2*tau3^-1*t1^-1*tau2', (2, 88): 'tau3', (0, 51): 't3^-1', (0, 169): 't2^-1', (2, 217): 't2^-1*tau3*t1*tau2^-1', (2, 14): 't1^-1', (1, 104): 't1', (0, 162): 't3^-1', (0, 133): 't3^-1', (2, 87): 'tau3', (2, 21): 't1^-1', (1, 76): 'tau2^-1', (0, 85): 't2', (2, 24): 't1^-1', (0, 170): 't2^-1', (0, 141): 't3^-1', (0, 217): 'tau1*t3^-1', (0, 155): 't3', (0, 196): 't3^-1*tau1', (0, 49): 't3^-1', (2, 84): 'tau3', (1, 90): 'tau3', (2, 18): 't1^-1', (0, 86): 't2', (2, 74): 'tau2^-1', (0, 142): 't3^-1', (0, 189): 'tau1', (2, 213): 't2*tau3^-1*t1^-1*tau2', (0, 156): 't3', (0, 50): 't3^-1', (2, 46): 'tau2^-1', (0, 182): 'tau1^-1', (2, 221): 't2^-1*tau3*t1*tau2^-1', }