U-tiling: UQC5402
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2052 |
*22222 |
(5,5,2) |
{3,6,4,4,4} |
{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5.... |
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
|
|
sqc10857
|
|
P4/mmm |
123 |
tetragonal |
{3,6,4,4,4} |
24 |
(5,5) |
|
G
|
False
|
|
sqc10856
|
|
I4122 |
98 |
tetragonal |
{3,6,4,4,4} |
24 |
(5,6) |
|
D
|
False
|
|
sqc5092
|
|
P4222 |
93 |
tetragonal |
{4,3,4,4,6} |
12 |
(5,5) |
Topological data
| Vertex degrees | {3,6,4,4,4} |
| 2D vertex symbol | {4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:192:2 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 50 5 12 7 9 11 37 62 17 24 19 21 23 74 29 36 31 33 35 98 41 48 43 45 47 73 53 60 55 57 59 97 65 72 67 69 71 77 84 79 81 83 121 146 89 96 91 93 95 101 108 103 105 107 133 158 113 120 115 117 119 170 125 132 127 129 131 182 137 144 139 141 143 169 149 156 151 153 155 181 161 168 163 165 167 173 180 175 177 179 185 192 187 189 191,3 4 29 30 19 20 33 34 119 120 15 16 41 42 45 46 95 96 27 28 43 44 143 144 39 40 131 132 51 52 77 78 91 92 81 82 167 168 63 64 101 102 115 116 105 106 155 156 75 76 127 128 191 192 87 88 125 126 129 130 99 100 139 140 179 180 111 112 137 138 141 142 123 124 135 136 147 148 173 174 163 164 177 178 159 160 185 186 189 190 171 172 187 188 183 184:4 5 4 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5,3 6 4 4 4 3 6 4 6 6 3 4 4 4 3 4 4 4 3 3 3 4 4 3> {(2, 188): 'tau2^-1*t3^-1', (1, 120): 'tau2*t3', (2, 184): 't1^-1*tau3^-1*t2', (2, 185): 't1^-1*tau3^-1*t2', (2, 186): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 189): 'tau2^-1*t3^-1', (2, 54): 't3', (2, 55): 't3', (2, 176): 't1*tau3*t2^-1', (2, 177): 't1*tau3*t2^-1', (2, 178): 't1', (2, 179): 't1', (2, 172): 'tau2*t3', (2, 173): 'tau2*t3', (2, 175): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 40): 't1', (1, 108): 't2^-1*tau3', (2, 42): 't1', (2, 43): 't1', (2, 56): 't3*tau2', (2, 32): 't1^-1', (2, 33): 't1^-1', (2, 162): 'tau1', (2, 163): 'tau1', (2, 57): 't3*tau2', (2, 142): 't1', (2, 143): 't1', (2, 136): 'tau3^-1*t2', (2, 137): 'tau3^-1*t2', (2, 138): 'tau3^-1', (2, 139): 'tau3^-1', (2, 124): 'tau2*t3', (2, 125): 'tau2*t3', (2, 126): 'tau2', (2, 127): 'tau2', (1, 181): 't1^-1', (1, 180): 't1^-1*tau3^-1*t2', (2, 114): 't2^-1', (1, 168): 'tau2*t3', (2, 104): 'tau3*t2^-1', (2, 105): 'tau3*t2^-1', (1, 37): 't1', (1, 36): 't1', (2, 67): 't2', (2, 41): 't1'}