U-tiling: UQC414
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc484 |
*2224 |
(2,4,2) |
{4,3} |
{12.4.4.12}{12.4.4} |
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
|
|
sqc6943
|
|
I4/mmm |
139 |
tetragonal |
{3,4} |
16 |
(2,4) |
|
G
|
False
|
|
sqc12033
|
|
I41/acd |
142 |
tetragonal |
{3,4} |
32 |
(2,5) |
|
D
|
False
|
|
sqc1393
|
|
P42/mmc |
131 |
tetragonal |
{3,4} |
8 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {12.4.4.12}{12.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.1:224:8 4 5 13 35 11 12 42 22 18 19 27 49 25 26 63 50 32 33 55 64 39 40 69 71 46 47 76 53 54 168 85 60 61 90 67 68 196 74 75 210 92 81 82 97 119 88 89 224 95 96 140 120 102 103 125 154 134 109 110 139 161 127 116 117 132 123 124 182 130 131 189 137 138 176 144 145 181 203 169 151 152 174 183 158 159 188 190 165 166 195 172 173 217 179 180 186 187 193 194 211 200 201 216 218 207 208 223 214 215 221 222,2 80 6 7 9 94 13 14 16 101 20 21 23 122 27 28 30 108 34 35 37 129 41 42 44 143 48 49 51 136 55 56 58 171 62 63 65 115 69 70 72 178 76 77 79 83 84 86 150 90 91 93 97 98 100 104 105 107 111 112 114 118 119 121 125 126 128 132 133 135 139 140 142 146 147 149 153 154 156 192 160 161 163 185 167 168 170 174 175 177 181 182 184 188 189 191 195 196 198 220 202 203 205 213 209 210 212 216 217 219 223 224,78 3 5 20 21 92 10 12 27 28 99 17 19 120 24 26 106 31 33 48 49 127 38 40 62 63 141 45 47 134 52 54 76 77 169 59 61 113 66 68 90 91 176 73 75 80 82 104 105 148 87 89 94 96 125 126 101 103 108 110 146 147 115 117 153 154 122 124 129 131 174 175 136 138 181 182 143 145 150 152 190 157 159 202 203 183 164 166 209 210 171 173 178 180 185 187 216 217 192 194 223 224 218 199 201 211 206 208 213 215 220 222:4 12 12 4 12 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 4 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 4 3 4 4 4 4 4 3 4 3 4 4 4 3 3> {(1, 149): 'tau3^-1', (2, 89): 't2', (2, 56): 'tau3', (2, 210): 't2*tau3^-1*t1^-1*tau2', (0, 187): 'tau1^-1', (0, 166): 'tau1^-1', (2, 70): 'tau2^-1', (0, 63): 't2^-1', (0, 223): 't2^-1', (1, 72): 'tau2^-1', (0, 174): 't2^-1', (2, 55): 't3^-1', (2, 111): 't3', (0, 126): 't2', (0, 138): 't3^-1', (2, 166): 't3^-1', (0, 40): 't2', (0, 222): 'tau1*t3^-1', (2, 209): 't3', (0, 54): 't3^-1', (2, 42): 'tau2^-1', (2, 159): 't3', (2, 217): 't2^-1*tau3*t1*tau2^-1', (2, 14): 't1^-1', (0, 133): 't3^-1', (2, 54): 't3^-1', (2, 160): 't3', (2, 21): 't1^-1', (2, 90): 't2', (2, 110): 't3', (1, 16): 't1^-1', (1, 219): 't2^-1*tau3*t1*tau2^-1', (1, 142): 'tau2', (0, 217): 'tau1*t3^-1', (2, 132): 't2', (0, 196): 't3^-1*tau1', (0, 49): 't3^-1', (1, 121): 't1', (2, 84): 'tau3', (2, 173): 't2^-1', (0, 131): 't2', (1, 212): 't2*tau3^-1*t1^-1*tau2', (0, 189): 'tau1', (1, 58): 'tau3', (0, 215): 'tau1^-1*t3', (0, 182): 'tau1^-1', }