U-tiling: UQC531
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc358 |
*2224 |
(2,3,3) |
{5,8} |
{4.3.4.3.4}{3.4.3.4.3.4.3.4} |
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
|
|
sqc1347
|
|
P4/mmm |
123 |
tetragonal |
{8,5} |
5 |
(2,3) |
|
G
|
False
|
|
sqc11854
|
|
I41/acd |
142 |
tetragonal |
{5,8} |
20 |
(2,4) |
|
D
|
False
|
|
sqc6487
|
|
P42/nnm |
134 |
tetragonal |
{5,8} |
10 |
(2,3) |
Topological data
| Vertex degrees | {5,8} |
| 2D vertex symbol | {4.3.4.3.4}{3.4.3.4.3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<53.2:224:8 79 80 6 7 93 94 13 14 22 100 101 20 21 121 122 27 28 50 107 108 34 35 64 128 129 41 42 71 142 143 48 49 135 136 55 56 85 170 171 62 63 114 115 69 70 177 178 76 77 92 83 84 149 150 90 91 97 98 120 104 105 134 111 112 127 118 119 125 126 132 133 139 140 176 146 147 169 153 154 183 191 192 160 161 190 184 185 167 168 174 175 181 182 188 189 195 196 211 219 220 202 203 218 212 213 209 210 216 217 223 224,2 4 19 83 35 9 11 26 97 42 16 18 104 49 23 25 125 63 30 32 47 111 37 39 61 132 44 46 146 51 53 75 139 168 58 60 174 65 67 89 118 196 72 74 181 210 79 81 103 119 86 88 153 224 93 95 124 140 100 102 154 107 109 145 161 114 116 152 121 123 182 128 130 173 189 135 137 180 142 144 203 149 151 156 158 201 195 163 165 208 188 170 172 217 177 179 184 186 215 191 193 222 198 200 223 205 207 216 212 214 219 221,15 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 98 101 103 105 141 108 110 112 148 115 117 119 122 124 126 169 129 131 133 176 136 138 140 143 145 147 150 152 154 197 157 159 161 204 164 166 168 171 173 175 178 180 182 211 185 187 189 218 192 194 196 199 201 203 206 208 210 213 215 217 220 222 224:4 3 4 3 4 4 3 3 4 3 4 3 4 3 3 4 4 3 3 4 3 4 3 4 4 4 4 3 3 4 3 3,5 8 5 8 8 8 5 5 5 5 5 5 5 5 5 5 5 5 5 5> {(1, 88): 't2', (0, 22): 't1^-1', (1, 103): 't1', (1, 130): 't2', (0, 63): 't2^-1', (0, 141): 'tau2', (0, 177): 'tau2', (2, 161): 't3^-1', (0, 126): 't2', (1, 207): 't3', (2, 63): 't2^-1', (1, 75): 'tau2^-1', (0, 211): 't2*tau3^-1*t1^-1*tau2', (1, 89): 'tau3', (1, 109): 't3', (0, 149): 'tau3^-1', (2, 196): 't3^-1', (0, 219): 't2^-1*tau3*t1*tau2^-1', (1, 208): 'tau2^-1*t1*tau3*t2^-1', (1, 216): 't2', (0, 169): 'tau3^-1', (0, 212): 't2*tau3^-1*t1^-1*tau2', (2, 49): 't3^-1', (0, 133): 't3^-1', (0, 176): 'tau2', (0, 170): 'tau3^-1', (0, 23): 't1^-1', (1, 200): 't3^-1', (0, 217): 'tau1*t3^-1', (2, 168): 't2^-1', (1, 222): 't2^-1*tau3*t1*tau2^-1', (0, 49): 't3^-1', (0, 16): 't1^-1', (0, 210): 'tau1^-1*t3', (1, 90): 't2', (0, 148): 'tau3^-1', (2, 140): 't3^-1', (0, 15): 't1^-1', (1, 124): 't1', (0, 218): 't2^-1*tau3*t1*tau2^-1', (0, 189): 'tau1', (1, 47): 'tau2^-1', (0, 182): 'tau1^-1', (0, 44): 'tau2^-1', (1, 74): 't3', (1, 61): 'tau3', }