U-tiling: UQC329
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc468 |
*2224 |
(2,4,2) |
{4,12} |
{3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.4} |
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
|
|
sqc6419
|
|
I4/mmm |
139 |
tetragonal |
{4,12} |
10 |
(2,4) |
|
G
|
False
|
|
sqc11738
|
|
I41/acd |
142 |
tetragonal |
{4,12} |
20 |
(2,5) |
|
D
|
False
|
|
sqc6393
|
|
P42/nnm |
134 |
tetragonal |
{4,12} |
10 |
(2,4) |
Topological data
| Vertex degrees | {4,12} |
| 2D vertex symbol | {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.2:224:29 3 5 13 14 36 10 12 43 17 19 27 28 57 24 26 31 33 55 56 38 40 69 70 45 47 76 77 162 52 54 59 61 90 91 190 66 68 204 73 75 113 80 82 97 98 218 87 89 134 94 96 148 101 103 125 126 155 108 110 139 140 115 117 132 133 176 122 124 183 129 131 136 138 197 143 145 181 182 150 152 174 175 157 159 188 189 164 166 195 196 211 171 173 178 180 185 187 192 194 199 201 216 217 206 208 223 224 213 215 220 222,2 31 6 7 9 38 13 14 16 45 20 21 23 59 27 28 30 34 35 37 41 42 44 48 49 51 164 55 56 58 62 63 65 192 69 70 72 206 76 77 79 115 83 84 86 220 90 91 93 136 97 98 100 150 104 105 107 157 111 112 114 118 119 121 178 125 126 128 185 132 133 135 139 140 142 199 146 147 149 153 154 156 160 161 163 167 168 170 213 174 175 177 181 182 184 188 189 191 195 196 198 202 203 205 209 210 212 216 217 219 223 224,15 4 5 20 84 22 11 12 27 98 18 19 105 25 26 126 43 32 33 48 112 57 39 40 62 133 46 47 147 71 53 54 76 140 60 61 175 85 67 68 90 119 74 75 182 99 81 82 104 88 89 154 120 95 96 125 102 103 141 109 110 146 148 116 117 153 123 124 169 130 131 174 176 137 138 181 144 145 151 152 197 158 159 202 196 204 165 166 209 189 172 173 179 180 211 186 187 216 218 193 194 223 200 201 224 207 208 217 214 215 221 222:3 4 3 3 4 3 4 4 4 3 4 3 3 3 4 3 3 3 4 3 4 4 3 3 3 4 4 4 4 3 4 4,4 12 4 12 12 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 187): 'tau1^-1', (2, 62): 'tau3', (2, 63): 't2^-1', (0, 188): 'tau1^-1', (2, 181): 'tau2', (2, 54): 't3^-1', (0, 54): 't3^-1', (2, 49): 't3^-1', (2, 145): 't3^-1', (2, 173): 't2^-1', (0, 40): 't2', (0, 41): 't2', (2, 168): 't2^-1', (0, 34): 't3', (2, 166): 't3^-1', (0, 166): 'tau1^-1', (2, 161): 't3^-1', (0, 138): 't3^-1', (2, 159): 't3', (2, 153): 'tau3^-1', (2, 154): 't3', (2, 27): 't1^-1', (2, 20): 't1^-1', (1, 212): 't2', (2, 146): 'tau2', (1, 86): 't2', (2, 140): 't3^-1', (0, 131): 't2', (0, 132): 't2', (0, 215): 'tau1^-1*t3', (0, 217): 't2^-1', (0, 111): 't3', (2, 216): 't2*tau3^-1*t1^-1*tau2', (0, 216): 'tau1^-1*t3', (2, 223): 't2^-1*tau3*t1*tau2^-1', (0, 222): 'tau1*t3^-1', (0, 223): 'tau1*t3^-1', (0, 168): 't2^-1', (2, 68): 't2^-1', (0, 195): 'tau1'}