U-tiling: UQC2581
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1936 |
*2244 |
(2,5,5) |
{4,4} |
{4.16.3.4}{3.16.4.16} |
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) |
|
G
|
False
|
|
sqc11148
|
|
I-42d |
122 |
tetragonal |
{4,4,4} |
24 |
(3,6) |
|
D
|
False
|
|
sqc5499
|
|
P4/mmm |
123 |
tetragonal |
{4,4} |
12 |
(2,5) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.16.3.4}{3.16.4.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.1:192:25 26 5 6 19 20 105 106 83 84 37 38 17 18 117 118 95 96 29 30 55 56 129 130 47 48 41 42 67 68 141 142 73 74 53 54 153 154 71 72 85 86 65 66 165 166 77 78 91 92 177 178 89 90 189 190 121 122 101 102 115 116 179 180 133 134 113 114 191 192 125 126 151 152 143 144 137 138 163 164 169 170 149 150 167 168 181 182 161 162 173 174 187 188 185 186,73 3 76 7 12 9 11 85 15 88 19 24 21 23 37 27 40 31 36 33 35 39 43 48 45 47 61 51 64 55 60 57 59 63 67 72 69 71 75 79 84 81 83 87 91 96 93 95 169 99 172 103 108 105 107 181 111 184 115 120 117 119 133 123 136 127 132 129 131 135 139 144 141 143 157 147 160 151 156 153 155 159 163 168 165 167 171 175 180 177 179 183 187 192 189 191,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192:4 16 3 4 4 3 4 3 4 4 4 3 4 4 4 16 3 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(1, 108): 't1^-1*tau2*t3', (1, 87): 't3^-1*tau2^-1*t1', (0, 190): 't3^-1*tau2^-1*t1', (0, 22): 't1^-1*tau2*t3', (0, 121): 't2^-1', (0, 162): 't3*tau2*t1^-1', (0, 133): 'tau3^-1', (0, 42): 't1*tau2^-1*t3^-1', (0, 48): 't3', (0, 191): 't3^-1*tau2^-1*t1', (0, 180): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 111): 't1^-1*tau2*t3', (0, 23): 't1^-1*tau2*t3', (0, 163): 't3*tau2*t1^-1', (1, 84): 't3^-1*tau2^-1*t1', (0, 49): 't3', (0, 60): 't3*tau2*t3', (0, 181): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 43): 't1*tau2^-1*t3^-1', (0, 36): 't1', (0, 145): 'tau1', (0, 61): 't3*tau2*t3', (0, 168): 'tau1^-1', (0, 120): 't2^-1', (0, 37): 't1', (0, 132): 'tau3^-1', }