U-tiling: UQC226
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc264 |
*2224 |
(2,3,2) |
{6,12} |
{3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.... |
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
|
True
|
|
sqc592
|
|
P4/mmm |
123 |
tetragonal |
{6,10} |
3 |
(2,3) |
|
G
|
False
|
|
sqc10719
|
|
I41/acd |
142 |
tetragonal |
{6,12} |
12 |
(2,4) |
|
D
|
False
|
|
sqc5091
|
|
P42/nnm |
134 |
tetragonal |
{6,12} |
6 |
(2,3) |
Topological data
| Vertex degrees | {6,12} |
| 2D vertex symbol | {3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:192:67 3 5 18 79 9 11 24 85 15 17 103 21 23 91 27 29 42 109 33 35 54 121 39 41 115 45 47 66 145 51 53 97 57 59 78 151 63 65 69 71 90 127 75 77 81 83 108 87 89 93 95 126 99 101 132 105 107 111 113 150 117 119 156 123 125 129 131 163 135 137 174 157 141 143 180 147 149 153 155 159 161 186 165 167 192 187 171 173 181 177 179 183 185 189 191,2 69 16 6 8 81 22 12 14 87 18 20 105 24 26 93 40 30 32 111 52 36 38 123 42 44 117 64 48 50 147 54 56 99 76 60 62 153 66 68 88 72 74 129 78 80 106 84 86 90 92 124 96 98 130 102 104 108 110 148 114 116 154 120 122 126 128 132 134 165 172 138 140 159 178 144 146 150 152 156 158 184 162 164 190 168 170 189 174 176 183 180 182 186 188 192,7 4 5 30 10 11 36 19 16 17 42 22 23 54 43 28 29 55 34 35 61 40 41 46 47 144 73 52 53 58 59 168 64 65 180 79 70 71 102 76 77 192 82 83 120 103 88 89 132 115 94 95 138 109 100 101 106 107 156 112 113 162 118 119 151 124 125 174 145 130 131 157 136 137 163 142 143 148 149 186 154 155 160 161 166 167 181 172 173 187 178 179 184 185 190 191:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,6 12 12 12 12 6 6 6 6 6 6 6> {(0, 186): 't2^-1*tau3*t1*tau2^-1', (0, 59): 't2^-1', (1, 123): 't3^-1', (1, 122): 'tau2', (1, 111): 't2', (0, 60): 'tau2^-1', (2, 180): 'tau1^-1*t3', (0, 179): 't3', (2, 54): 't2^-1', (0, 180): 't2*tau3^-1*t1^-1*tau2', (2, 191): 't2^-1', (0, 47): 't3^-1', (2, 42): 't3^-1', (0, 173): 't3^-1', (0, 149): 't2^-1', (0, 36): 'tau2^-1', (2, 185): 't2', (2, 156): 'tau1^-1', (2, 186): 'tau1*t3^-1', (0, 18): 't1^-1', (0, 144): 'tau3^-1', (1, 62): 'tau2^-1', (1, 86): 't1', (1, 75): 't2', (1, 74): 'tau3', (2, 162): 'tau1', (0, 12): 't1^-1', (0, 126): 'tau3^-1', (1, 63): 't3', (0, 125): 't3^-1', (1, 177): 't3', (1, 176): 'tau2^-1*t1*tau3*t2^-1', (1, 50): 'tau3', (2, 114): 't3^-1', (2, 108): 't2', (1, 171): 't3^-1', (1, 170): 'tau2*t1^-1*tau3^-1*t2', (1, 20): 't1^-1'}