U-tiling: UQC221
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc211 |
*2224 |
(2,4,2) |
{4,4} |
{8.4.4.8}{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
|
|
sqc5570
|
|
I4/mmm |
139 |
tetragonal |
{4,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc11188
|
|
I41/acd |
142 |
tetragonal |
{4,4} |
24 |
(2,4) |
|
D
|
False
|
|
sqc5342
|
|
P42/nnm |
134 |
tetragonal |
{4,4} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {8.4.4.8}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:192:25 3 28 29 72 31 9 34 35 84 37 15 40 41 90 49 21 52 53 108 27 96 33 114 39 126 139 45 142 143 120 51 150 163 57 166 167 102 175 63 178 179 156 97 69 100 101 187 75 190 191 132 115 81 118 119 127 87 130 131 133 93 136 137 99 151 105 154 155 157 111 160 161 117 169 123 172 173 129 135 168 141 162 181 147 184 185 153 159 165 171 192 177 186 183 189,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,13 8 9 5 12 19 11 20 21 17 24 23 37 44 45 29 48 49 56 57 35 60 62 63 41 66 61 47 74 75 53 78 73 59 65 85 80 81 71 84 77 103 83 104 105 89 108 121 116 117 95 120 127 110 111 101 114 107 145 113 151 119 152 153 125 156 146 147 131 150 169 158 159 137 162 175 164 165 143 168 149 155 181 161 187 167 182 183 173 186 188 189 179 192 185 191:4 8 4 8 4 8 4 8 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 4 4 4 4 4 4 4> {(0, 41): 'tau2^-1', (2, 56): 't2^-1', (2, 109): 't2', (2, 164): 'tau1', (2, 182): 'tau1^-1*t3', (2, 116): 't3^-1', (2, 185): 'tau1^-1*t3', (0, 180): 't2', (2, 157): 'tau1^-1', (2, 55): 't2^-1', (2, 161): 'tau1^-1', (2, 25): 't3', (2, 59): 't2^-1', (2, 113): 't2', (0, 76): 't2', (0, 185): 't2*tau3^-1*t1^-1*tau2', (0, 17): 't1^-1', (2, 187): 'tau1*t3^-1', (2, 174): 't3', (0, 149): 'tau3^-1', (2, 108): 't2', (2, 163): 'tau1', (2, 60): 't3', (2, 181): 'tau1^-1*t3', (2, 47): 't3^-1', (2, 115): 't3^-1', (0, 183): 't2', (2, 54): 't2^-1', (0, 191): 't2^-1*tau3*t1*tau2^-1', (2, 110): 't2', (2, 44): 't3^-1', (0, 23): 't1^-1', (0, 184): 't2', (2, 168): 't3^-1', (0, 155): 'tau2', (0, 72): 't2', (2, 120): 't3^-1', (0, 131): 'tau3^-1', (2, 191): 'tau1*t3^-1', (2, 158): 'tau1^-1', (0, 189): 't2^-1', (2, 167): 'tau1', (2, 119): 't3^-1', (2, 188): 'tau1*t3^-1', }