U-tiling: UQC304
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc287 |
*2224 |
(2,3,2) |
{3,12} |
{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
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
|
|
sqc757
|
|
P4/mmm |
123 |
tetragonal |
{3,12} |
5 |
(2,3) |
|
G
|
False
|
|
sqc10724
|
|
I41/acd |
142 |
tetragonal |
{3,12} |
20 |
(2,4) |
|
D
|
False
|
|
sqc4965
|
|
P42/nnm |
134 |
tetragonal |
{3,12} |
10 |
(2,3) |
Topological data
| Vertex degrees | {3,12} |
| 2D vertex symbol | {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.2:192:7 4 5 12 10 11 19 16 17 24 22 23 43 28 29 48 55 34 35 60 61 40 41 66 46 47 73 52 53 78 58 59 64 65 79 70 71 84 76 77 82 83 103 88 89 108 115 94 95 120 109 100 101 114 106 107 112 113 118 119 151 124 125 156 145 130 131 150 157 136 137 162 163 142 143 168 148 149 154 155 160 161 166 167 181 172 173 186 187 178 179 192 184 185 190 191,2 15 6 29 8 21 12 35 14 18 41 20 24 53 26 39 30 32 51 36 38 42 44 63 48 143 50 54 56 75 60 167 62 66 179 68 87 72 101 74 78 191 80 105 84 119 86 90 131 92 123 96 137 98 129 102 104 108 155 110 147 114 161 116 153 120 122 126 173 128 132 134 171 138 140 177 144 146 150 185 152 156 158 183 162 164 189 168 170 174 176 180 182 186 188 192,13 3 5 72 19 9 11 84 15 17 90 21 23 108 37 27 29 96 49 33 35 114 39 41 126 61 45 47 120 51 53 150 73 57 59 102 63 65 156 85 69 71 75 77 132 103 81 83 87 89 121 93 95 127 99 101 105 107 145 111 113 151 117 119 123 125 129 131 169 135 137 168 175 141 143 162 147 149 153 155 181 159 161 187 165 167 171 173 192 177 179 186 183 185 189 191:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 12 3 12 12 12 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 167): 'tau1', (0, 29): 't3', (2, 53): 'tau3', (1, 44): 't3^-1', (1, 176): 't3', (1, 110): 't2', (2, 155): 'tau2', (0, 119): 't3^-1', (1, 170): 't3^-1', (0, 173): 't3^-1*tau1', (2, 144): 't2^-1', (2, 138): 't3^-1', (2, 191): 't2^-1*tau3*t1*tau2^-1', (0, 162): 'tau1', (2, 41): 'tau2^-1', (0, 179): 't3*tau1^-1', (2, 131): 'tau3^-1', (0, 59): 't2^-1', (2, 23): 't1^-1', (2, 90): 't3', (2, 54): 't2^-1', (1, 184): 't2', (0, 156): 'tau1^-1', (1, 76): 't2', (0, 114): 't3^-1', (2, 185): 't2*tau3^-1*t1^-1*tau2', (0, 180): 'tau1^-1*t3', (0, 161): 'tau1^-1', (0, 42): 't3^-1', (2, 17): 't1^-1', (0, 54): 't2^-1', (0, 108): 't2', (1, 92): 't3', (2, 132): 't3', (1, 74): 't2', (0, 174): 't3*tau1^-1', (0, 113): 't2', (2, 60): 't3', }