U-tiling: UQC2646
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1985 |
*2244 |
(2,5,5) |
{6,3} |
{4.8.4.6.4.8}{4.4.6} |
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) |
|
G
|
False
|
|
sqc10802
|
|
I-42d |
122 |
tetragonal |
{6,3,3} |
24 |
(3,6) |
|
D
|
False
|
|
sqc5313
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
12 |
(2,5) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.8.4.6.4.8}{4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<48.1:192:25 26 15 16 7 8 21 22 107 108 37 38 19 20 119 120 51 52 31 32 57 58 131 132 63 64 43 44 69 70 143 144 73 74 55 56 155 156 85 86 67 68 167 168 87 88 79 80 93 94 179 180 91 92 191 192 121 122 111 112 103 104 117 118 133 134 115 116 147 148 127 128 153 154 159 160 139 140 165 166 169 170 151 152 181 182 163 164 183 184 175 176 189 190 187 188,73 3 5 78 9 12 11 85 15 17 90 21 24 23 37 27 29 42 33 36 35 39 41 45 48 47 61 51 53 66 57 60 59 63 65 69 72 71 75 77 81 84 83 87 89 93 96 95 169 99 101 174 105 108 107 181 111 113 186 117 120 119 133 123 125 138 129 132 131 135 137 141 144 143 157 147 149 162 153 156 155 159 161 165 168 167 171 173 177 180 179 183 185 189 192 191,2 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 8 4 6 4 6 4 6 4 4 4 6 4 4 4 8 4 4 4 4,6 3 6 3 6 3 3 6 3 3 3 3 6 3 6 3 6 3 3 6 3 3 3 3> {(1, 108): 't1^-1*tau2*t3', (0, 62): 't3*tau2*t1^-1', (1, 113): 't1^-1*tau2*t3', (0, 45): 't1*tau2^-1*t3^-1', (0, 12): 't1^-1', (0, 121): 't2^-1', (0, 133): 'tau3^-1', (0, 48): 't3', (0, 63): 't3*tau2*t1^-1', (0, 158): 't3*tau2*t1^-1', (0, 180): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 164): 't3*tau2*t1^-1', (1, 84): 't3^-1*tau2^-1*t1', (0, 49): 't3', (0, 60): 't3*tau2*t3', (0, 159): 't3*tau2*t1^-1', (0, 181): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 37): 't1', (0, 145): 'tau1', (0, 61): 't3*tau2*t3', (1, 89): 't3^-1*tau2^-1*t1', (0, 168): 'tau1^-1', (0, 44): 't1*tau2^-1*t3^-1', (0, 120): 't2^-1', (0, 165): 't3*tau2*t1^-1', (0, 132): 'tau3^-1', }