U-tiling: UQC3459
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc545 |
*2224 |
(3,3,2) |
{8,3,4} |
{5.5.5.5.5.5.5.5}{5.4.5}{5.4.5.4} |
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
|
True
|
|
sqc1065
|
|
P4/mmm |
123 |
tetragonal |
{3,6,4} |
7 |
(3,3) |
|
G
|
False
|
|
sqc11744
|
|
I41/acd |
142 |
tetragonal |
{8,3,4} |
28 |
(3,4) |
|
D
|
False
|
|
sqc6249
|
|
P42/nnm |
134 |
tetragonal |
{4,3,8} |
14 |
(3,3) |
Topological data
| Vertex degrees | {8,3,4} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5}{5.4.5}{5.4.5.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.1:224:15 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 4 19 83 14 9 11 26 97 16 18 104 28 23 25 125 30 32 47 111 56 37 39 61 132 70 44 46 146 77 51 53 75 139 58 60 174 91 65 67 89 118 72 74 181 79 81 103 98 86 88 153 93 95 124 100 102 126 107 109 145 140 114 116 152 133 121 123 128 130 173 135 137 180 142 144 182 149 151 175 156 158 201 195 189 163 165 208 188 196 170 172 177 179 184 186 215 191 193 222 198 200 223 217 205 207 216 224 212 214 219 221,29 79 80 6 7 36 93 94 13 14 43 100 101 20 21 57 121 122 27 28 107 108 34 35 128 129 41 42 142 143 48 49 162 135 136 55 56 170 171 62 63 190 114 115 69 70 204 177 178 76 77 113 83 84 218 149 150 90 91 134 97 98 148 104 105 155 111 112 118 119 176 125 126 183 132 133 139 140 197 146 147 153 154 191 192 160 161 184 185 167 168 211 174 175 181 182 188 189 195 196 219 220 202 203 212 213 209 210 216 217 223 224:5 4 5 4 5 4 5 4 4 5 4 5 5 5 5 5 5 5 5 4 5 5 5 4,8 3 4 8 3 8 3 8 3 3 4 3 4 3 3 3 3 3 4 3 4 4 3 4 3 4 3 3> {(2, 15): 't1^-1', (1, 124): 't1', (0, 49): 't3^-1', (2, 176): 'tau2', (2, 177): 'tau2', (1, 118): 't2^-1', (2, 44): 'tau2^-1', (0, 168): 't2^-1', (1, 109): 't3', (2, 169): 'tau3^-1', (2, 170): 'tau3^-1', (0, 161): 't3^-1', (1, 103): 't1', (0, 63): 't2^-1', (1, 89): 'tau3', (1, 88): 't2', (1, 188): 'tau1^-1', (1, 223): 'tau1*t3^-1', (1, 222): 't2^-1*tau3*t1*tau2^-1', (2, 148): 'tau3^-1', (2, 149): 'tau3^-1', (2, 22): 't1^-1', (2, 16): 't1^-1', (2, 141): 'tau2', (1, 75): 'tau2^-1', (1, 74): 't3', (0, 140): 't3^-1', (1, 195): 'tau1', (1, 69): 't2^-1', (0, 154): 't3', (1, 61): 'tau3', (2, 121): 't1', (1, 200): 't3^-1', (1, 55): 't3^-1', (1, 172): 't2^-1', (1, 47): 'tau2^-1', (1, 207): 't3', (1, 202): 't3^-1*tau1', (2, 217): 't2^-1', (2, 218): 't2^-1*tau3*t1*tau2^-1', (2, 219): 't2^-1*tau3*t1*tau2^-1', (2, 212): 't2*tau3^-1*t1^-1*tau2', (2, 210): 't2', (2, 211): 't2*tau3^-1*t1^-1*tau2', (1, 139): 't3^-1', (1, 208): 'tau2^-1*t1*tau3*t2^-1'}