U-tiling: UQC244
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc269 |
*2224 |
(2,3,2) |
{12,3} |
{3.6.3.3.6.3.3.6.3.3.6.3}{3.6.6} |
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) |
|
P
|
True
|
|
sqc643
|
|
P4/mmm |
123 |
tetragonal |
{3,10} |
5 |
(2,3) |
|
G
|
False
|
|
sqc10721
|
|
I41/acd |
142 |
tetragonal |
{12,3} |
20 |
(2,4) |
|
D
|
False
|
|
sqc738
|
|
I4/mmm |
139 |
tetragonal |
{3,12} |
5 |
(2,3) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {3.6.3.3.6.3.3.6.3.3.6.3}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:192:13 3 5 12 19 9 11 15 17 24 21 23 37 27 29 48 49 33 35 60 39 41 66 61 45 47 51 53 78 73 57 59 63 65 85 69 71 84 75 77 103 81 83 87 89 108 121 93 95 120 127 99 101 114 105 107 145 111 113 151 117 119 123 125 156 129 131 150 169 135 137 162 175 141 143 168 147 149 153 155 181 159 161 187 165 167 171 173 186 177 179 192 183 185 189 191,2 15 70 6 8 21 82 12 14 88 18 20 106 24 26 39 94 30 32 51 112 36 38 124 42 44 63 118 48 50 148 54 56 75 100 60 62 154 66 68 87 72 74 130 78 80 105 84 86 90 92 123 96 98 129 102 104 108 110 147 114 116 153 120 122 126 128 132 134 171 166 138 140 177 160 144 146 150 152 156 158 183 162 164 189 168 170 190 174 176 184 180 182 186 188 192,25 4 5 18 31 10 11 24 37 16 17 49 22 23 28 29 42 34 35 54 40 41 139 46 47 66 52 53 163 58 59 78 175 64 65 97 70 71 90 187 76 77 115 82 83 108 127 88 89 133 94 95 126 100 101 132 151 106 107 157 112 113 150 118 119 156 169 124 125 130 131 136 137 174 142 143 180 181 148 149 154 155 160 161 186 166 167 192 172 173 178 179 184 185 190 191:3 6 3 6 3 6 3 6 6 3 6 3 3 3 3 3 3 3 3 6 3 3 3 6,12 3 12 3 12 12 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 59): 't2^-1', (1, 123): 'tau2', (1, 122): 't3^-1', (0, 191): 'tau1*t3^-1', (0, 60): 't3', (2, 59): 't2^-1', (2, 180): 't2', (0, 173): 't3^-1*tau1', (0, 54): 't2^-1', (2, 179): 't3', (1, 105): 't1', (2, 173): 't3^-1', (0, 168): 't3^-1', (2, 47): 't3^-1', (0, 174): 't3', (0, 47): 't3^-1', (1, 110): 't2', (0, 161): 'tau1^-1', (0, 167): 'tau1', (1, 56): 't2^-1', (2, 149): 't2^-1', (0, 144): 't2^-1', (1, 87): 't1', (1, 75): 'tau3', (2, 125): 't3^-1', (1, 189): 't2^-1*tau3*t1*tau2^-1', (1, 63): 'tau2^-1', (1, 62): 't3', (1, 177): 'tau2^-1*t1*tau3*t2^-1', (1, 51): 'tau3', (0, 113): 't2', (0, 119): 't3^-1', (1, 170): 't3^-1', (0, 90): 't3', (2, 72): 't2', (1, 140): 't3^-1'}