U-tiling: UQC507
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc343 |
*2224 |
(2,4,3) |
{4,6} |
{4.4.4.4}{4.4.4.4.4.4} |
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
|
|
sqc6676
|
|
I4/mmm |
139 |
tetragonal |
{4,6} |
12 |
(2,4) |
|
G
|
False
|
|
sqc11836
|
|
I41/acd |
142 |
tetragonal |
{4,6} |
24 |
(2,4) |
|
D
|
False
|
|
sqc6462
|
|
P42/nnm |
134 |
tetragonal |
{6,4} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.1:224:15 30 31 5 34 35 22 37 38 12 41 42 44 45 19 48 49 58 59 26 62 63 43 33 57 40 47 71 163 164 54 167 168 61 85 191 192 68 195 196 205 206 75 209 210 99 114 115 82 118 119 219 220 89 223 224 120 135 136 96 139 140 149 150 103 153 154 141 156 157 110 160 161 148 117 177 178 124 181 182 169 184 185 131 188 189 176 138 198 199 145 202 203 152 197 159 204 166 212 213 173 216 217 180 211 187 218 194 201 208 215 222,2 4 6 84 9 11 13 98 16 18 20 105 23 25 27 126 30 32 34 112 37 39 41 133 44 46 48 147 51 53 55 140 58 60 62 175 65 67 69 119 72 74 76 182 79 81 83 86 88 90 154 93 95 97 100 102 104 107 109 111 114 116 118 121 123 125 128 130 132 135 137 139 142 144 146 149 151 153 156 158 160 196 163 165 167 189 170 172 174 177 179 181 184 186 188 191 193 195 198 200 202 224 205 207 209 217 212 214 216 219 221 223,8 3 11 12 7 10 14 22 17 25 26 21 24 28 50 31 53 54 35 64 38 67 68 42 71 45 74 75 49 52 56 85 59 88 89 63 66 70 73 77 92 80 95 96 84 87 91 94 98 120 101 123 124 105 134 108 137 138 112 127 115 130 131 119 122 126 129 133 136 140 176 143 179 180 147 169 150 172 173 154 183 157 186 187 161 190 164 193 194 168 171 175 178 182 185 189 192 196 211 199 214 215 203 218 206 221 222 210 213 217 220 224:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 4 6 4 6 4 4 4 4 4 4 4 6 4 4 6 4> {(2, 53): 't3^-1', (0, 223): 't2^-1', (1, 48): 'tau2^-1', (0, 173): 't2^-1', (0, 140): 't3^-1', (2, 164): 'tau1^-1', (1, 223): 't2^-1*tau3*t1*tau2^-1', (2, 182): 'tau1^-1', (2, 116): 't2^-1', (0, 63): 't2^-1', (1, 125): 't1', (0, 174): 't2^-1', (2, 157): 'tau1', (2, 63): 't2^-1', (1, 62): 'tau3', (2, 220): 'tau1*t3^-1', (2, 52): 't3^-1', (0, 222): 't2^-1', (2, 39): 't2', (2, 108): 't3', (2, 196): 't3^-1*tau1', (2, 126): 't2', (0, 219): 't2^-1', (2, 214): 'tau1^-1*t3', (1, 216): 't2*tau3^-1*t1^-1*tau2', (0, 169): 't2^-1', (2, 217): 'tau1*t3^-1', (2, 49): 't3^-1', (1, 104): 't1', (2, 105): 't3', (2, 189): 'tau1', (1, 76): 'tau2^-1', (0, 203): 't3', (0, 170): 't2^-1', (2, 165): 'tau1^-1', (0, 154): 't3', (0, 49): 't3^-1', (2, 186): 'tau1^-1', (1, 90): 'tau3', (2, 38): 't2', (0, 218): 't2^-1', (2, 129): 't2', (2, 213): 'tau1^-1*t3', (0, 168): 't2^-1', (2, 137): 't3^-1', (2, 221): 'tau1*t3^-1', }