U-tiling: UQC543
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc361 |
*2224 |
(2,3,3) |
{5,4} |
{4.3.8.3.4}{3.8.3.8} |
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
|
|
sqc6815
|
|
I4/mmm |
139 |
tetragonal |
{4,5} |
12 |
(2,3) |
|
G
|
False
|
|
sqc11935
|
|
I41/acd |
142 |
tetragonal |
{5,4} |
24 |
(2,4) |
|
D
|
False
|
|
sqc6824
|
|
P42/nnm |
134 |
tetragonal |
{4,5} |
12 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.3.8.3.4}{3.8.3.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<51.2:224:15 9 10 6 7 22 13 14 23 24 20 21 27 28 43 51 52 34 35 57 65 66 41 42 72 73 48 49 71 55 56 86 87 62 63 85 69 70 76 77 99 93 94 83 84 90 91 120 97 98 121 122 104 105 141 135 136 111 112 148 128 129 118 119 125 126 169 132 133 176 139 140 177 178 146 147 170 171 153 154 197 184 185 160 161 204 191 192 167 168 174 175 181 182 211 188 189 218 195 196 212 213 202 203 219 220 209 210 216 217 223 224,2 4 33 13 84 9 11 40 98 16 18 47 27 105 23 25 61 126 30 32 55 112 37 39 69 133 44 46 76 147 51 53 166 140 58 60 90 175 65 67 194 119 72 74 208 182 79 81 117 97 86 88 222 154 93 95 138 100 102 152 125 107 109 159 139 114 116 132 121 123 180 128 130 187 135 137 142 144 201 181 149 151 174 156 158 188 196 163 165 195 189 170 172 215 177 179 184 186 191 193 198 200 216 224 205 207 223 217 212 214 219 221,29 3 5 7 36 10 12 14 43 17 19 21 57 24 26 28 31 33 35 38 40 42 45 47 49 162 52 54 56 59 61 63 190 66 68 70 204 73 75 77 113 80 82 84 218 87 89 91 134 94 96 98 148 101 103 105 155 108 110 112 115 117 119 176 122 124 126 183 129 131 133 136 138 140 197 143 145 147 150 152 154 157 159 161 164 166 168 211 171 173 175 178 180 182 185 187 189 192 194 196 199 201 203 206 208 210 213 215 217 220 222 224:4 3 8 8 3 8 8 4 3 4 3 3 3 4 3 3 4 3 4 3 3 3 4 3 4 3 3 3,5 4 5 5 4 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 5 4> {(1, 54): 't3^-1', (1, 187): 'tau1^-1', (0, 134): 't3^-1', (0, 51): 't3^-1', (1, 215): 'tau1^-1*t3', (1, 90): 'tau3', (2, 217): 't2^-1', (0, 190): 'tau1', (1, 110): 't3', (1, 209): 'tau2^-1*t1*tau3*t2^-1', (1, 68): 't2^-1', (1, 27): 't1^-1', (0, 183): 'tau1^-1', (1, 104): 't1', (0, 140): 't3^-1', (0, 218): 'tau1*t3^-1', (0, 212): 'tau1^-1*t3', (1, 221): 't2^-1', (0, 211): 'tau1^-1*t3', (1, 62): 'tau3', (0, 36): 't2', (0, 154): 't3', (0, 135): 't3^-1', (1, 117): 't2^-1', (1, 214): 't2', (1, 76): 'tau2^-1', (0, 50): 't3^-1', (0, 63): 't2^-1', (0, 168): 't2^-1', (1, 208): 't3*tau1^-1', (0, 114): 't2^-1', (0, 161): 't3^-1', (1, 146): 'tau2', (0, 191): 'tau1', (0, 205): 't3*tau1^-1', (1, 166): 'tau1^-1', (0, 113): 't2^-1', (1, 202): 'tau2*t1^-1*tau3^-1*t2', (0, 184): 'tau1^-1', (0, 37): 't2', (2, 168): 't2^-1', (0, 49): 't3^-1', }