U-tiling: UQC5562
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2219 |
*22222 |
(5,6,2) |
{4,6,4,4,4} |
{3.5.5.3}{3.5.5.3.5.5}{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
|
|
sqc11405
|
|
P4/mmm |
123 |
tetragonal |
{4,6,4,4,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11406
|
|
I4122 |
98 |
tetragonal |
{4,6,4,4,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5810
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4,6} |
12 |
(5,6) |
Topological data
| Vertex degrees | {4,6,4,4,4} |
| 2D vertex symbol | {3.5.5.3}{3.5.5.3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.2:208:53 3 5 7 9 11 13 66 16 18 20 22 24 26 79 29 31 33 35 37 39 105 42 44 46 48 50 52 55 57 59 61 63 65 68 70 72 74 76 78 81 83 85 87 89 91 157 94 96 98 100 102 104 107 109 111 113 115 117 170 120 122 124 126 128 130 183 133 135 137 139 141 143 196 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 55 6 13 8 10 12 15 68 19 26 21 23 25 28 81 32 39 34 36 38 41 107 45 52 47 49 51 54 58 65 60 62 64 67 71 78 73 75 77 80 84 91 86 88 90 93 159 97 104 99 101 103 106 110 117 112 114 116 119 172 123 130 125 127 129 132 185 136 143 138 140 142 145 198 149 156 151 153 155 158 162 169 164 166 168 171 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,118 4 5 123 124 34 35 23 24 38 39 92 17 18 97 98 47 48 51 52 144 30 31 149 150 49 50 131 43 44 136 137 170 56 57 175 176 86 87 101 102 90 91 157 69 70 162 163 112 113 127 128 116 117 196 82 83 201 202 140 141 95 96 138 139 142 143 183 108 109 188 189 153 154 121 122 151 152 155 156 134 135 147 148 160 161 190 191 179 180 194 195 173 174 203 204 207 208 186 187 205 206 199 200:3 5 3 5 3 5 3 5 5 5 5 3 5 5 3 5 3 5 3 5 5 5 5 5,4 6 4 4 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 4 4> {(2, 188): 't1', (2, 189): 't1*tau3*t2^-1', (2, 190): 't1*tau3*t2^-1', (2, 191): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 187): 't1', (2, 180): 't2^-1*tau3*t1', (2, 181): 't2^-1*tau3*t1', (2, 182): 't1', (2, 176): 't3*tau2', (2, 177): 't3*tau2', (2, 178): 'tau1', (2, 179): 'tau1', (1, 106): 't1^-1', (2, 168): 't3^-1*tau2^-1', (2, 60): 't3*tau2', (2, 167): 't3^-1*tau2^-1', (0, 39): 't1', (2, 34): 't1^-1', (2, 152): 'tau3^-1', (2, 153): 'tau3^-1', (2, 154): 'tau3^-1*t2', (2, 155): 'tau3^-1*t2', (2, 148): 't1', (2, 149): 't1', (2, 59): 't3*tau2', (2, 33): 't1^-1', (2, 140): 'tau2', (2, 141): 'tau2*t3', (2, 142): 'tau2*t3', (2, 143): 't1', (0, 143): 't1', (2, 139): 'tau2', (2, 61): 't3', (1, 197): 't1^-1', (2, 126): 't2^-1', (2, 127): 't2^-1', (2, 48): 't1', (2, 112): 'tau3*t2^-1', (2, 49): 't1', (2, 111): 'tau3*t2^-1', (2, 50): 't1', (2, 62): 't3', (2, 51): 't1', (2, 205): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1'}