U-tiling: UQC589
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc389 |
*2224 |
(2,3,3) |
{8,3} |
{4.3.6.3.4.3.6.3}{3.6.6} |
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
|
|
sqc6722
|
|
I4/mmm |
139 |
tetragonal |
{3,8} |
12 |
(2,3) |
|
G
|
False
|
|
sqc11857
|
|
I41/acd |
142 |
tetragonal |
{3,8} |
24 |
(2,4) |
|
D
|
False
|
|
sqc6721
|
|
P42/nnm |
134 |
tetragonal |
{3,8} |
12 |
(2,3) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.3.6.3.4.3.6.3}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<44.2:224:15 4 5 34 35 22 11 12 41 42 18 19 48 49 25 26 62 63 43 32 33 57 39 40 46 47 71 53 54 167 168 60 61 85 67 68 195 196 74 75 209 210 99 81 82 118 119 88 89 223 224 120 95 96 139 140 102 103 153 154 141 109 110 160 161 148 116 117 123 124 181 182 169 130 131 188 189 176 137 138 144 145 202 203 151 152 197 158 159 204 165 166 172 173 216 217 179 180 211 186 187 218 193 194 200 201 207 208 214 215 221 222,2 31 11 6 84 9 38 13 98 16 45 25 20 105 23 59 27 126 30 53 34 112 37 67 41 133 44 74 48 147 51 164 55 140 58 88 62 175 65 192 69 119 72 206 76 182 79 115 95 83 86 220 90 154 93 136 97 100 150 123 104 107 157 137 111 114 130 118 121 178 125 128 185 132 135 139 142 199 179 146 149 172 153 156 186 160 196 163 193 167 189 170 213 174 177 181 184 188 191 195 198 214 202 224 205 221 209 217 212 216 219 223,29 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 98 148 101 103 105 155 108 110 112 115 117 119 176 122 124 126 183 129 131 133 136 138 140 197 143 145 147 150 152 154 157 159 161 164 166 168 211 171 173 175 178 180 182 185 187 189 192 194 196 199 201 203 206 208 210 213 215 217 220 222 224:6 3 4 3 4 3 4 3 4 6 6 3 3 3 6 3 3 3 3 6 3 6 3 3 3 6 6 3,3 8 3 3 8 3 8 8 8 3 8 3 3 3 3 3 3 3 3 3 3 8 3 8> {(1, 216): 't2*tau3^-1*t1^-1*tau2', (1, 185): 'tau1^-1', (1, 108): 't3', (0, 223): 't2^-1', (1, 48): 'tau2^-1', (0, 173): 't2^-1', (0, 140): 't3^-1', (0, 216): 't2', (1, 192): 'tau1', (1, 20): 't1^-1', (0, 154): 't3', (1, 76): 'tau2^-1', (0, 63): 't2^-1', (1, 219): 't2^-1', (2, 217): 't2^-1', (1, 125): 't1', (2, 168): 't2^-1', (0, 49): 't3^-1', (1, 213): 'tau1^-1*t3', (1, 90): 'tau3', (1, 62): 'tau3', (1, 212): 't2', (1, 66): 't2^-1', (0, 168): 't2^-1', (0, 222): 't2^-1', (0, 161): 't3^-1', (1, 115): 't2^-1', (1, 220): 'tau1*t3^-1', (1, 202): 'tau2*t1^-1*tau3^-1*t2', (1, 52): 't3^-1', }