U-tiling: UQC5422
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc100 |
*24(12) |
(3,2,1) |
{4,4,12} |
{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
|
|
sqc10838
|
|
P42/mmc |
131 |
tetragonal |
{4,4,12,4,4} |
20 |
(5,5) |
|
G
|
False
|
|
sqc10832
|
|
I-42d |
122 |
tetragonal |
{4,4,12,4,4} |
20 |
(5,6) |
|
D
|
False
|
|
sqc5310
|
|
P-42m |
111 |
tetragonal |
{4,4,4,4,12} |
10 |
(5,5) |
Topological data
| Vertex degrees | {4,4,12,4,4} |
| 2D vertex symbol | {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} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<41.1:192:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,25 3 28 7 12 9 11 37 15 40 19 24 21 23 27 31 36 33 35 39 43 48 45 47 73 51 76 55 60 57 59 85 63 88 67 72 69 71 75 79 84 81 83 87 91 96 93 95 121 99 124 103 108 105 107 133 111 136 115 120 117 119 123 127 132 129 131 135 139 144 141 143 169 147 172 151 156 153 155 181 159 184 163 168 165 167 171 175 180 177 179 183 187 192 189 191,13 14 5 6 19 20 105 106 83 84 17 18 117 118 95 96 49 50 29 30 55 56 129 130 47 48 61 62 41 42 67 68 141 142 53 54 153 154 71 72 65 66 165 166 85 86 77 78 91 92 177 178 89 90 189 190 109 110 101 102 115 116 179 180 113 114 191 192 145 146 125 126 151 152 143 144 157 158 137 138 163 164 149 150 167 168 161 162 181 182 173 174 187 188 185 186:4 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 12 4 4 4 4 4 4 4 4 4 4 4 4 4 12 4 4 4> {(2, 60): 't3*tau2*t1^-1', (2, 61): 't3*tau2*t1^-1', (1, 123): 't2^-1', (2, 191): 't3^-1*tau2^-1*t1', (2, 42): 't1*tau2^-1*t3^-1', (1, 120): 't2^-1', (2, 190): 't3^-1*tau2^-1*t1', (1, 108): 'tau3', (1, 111): 'tau3', (2, 43): 't1*tau2^-1*t3^-1', (2, 162): 't3*tau2*t1^-1', (2, 163): 't3*tau2*t1^-1', (2, 156): 't3*tau2*t1^-1', (2, 157): 't3*tau2*t1^-1', (2, 22): 't1^-1*tau2*t3', (2, 23): 't1^-1*tau2*t3', (1, 84): 't3^-1*tau2^-1*t3^-1', (1, 87): 't3^-1*tau2^-1*t3^-1', (1, 72): 't3^-1', (1, 75): 't3^-1', (1, 180): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 183): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 168): 'tau1^-1', (1, 171): 'tau1^-1', (1, 39): 't1', (1, 12): 't1^-1'}