U-tiling: UQC5639
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2236 |
*2244 |
(5,6,2) |
{8,4,3,8,4} |
{5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4... |
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
|
True
|
|
sqc11279
|
|
P42/mmc |
131 |
tetragonal |
{6,4,3,8,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11314
|
|
I-42d |
122 |
tetragonal |
{8,4,3,8,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5638
|
|
P-42m |
111 |
tetragonal |
{4,3,8,4,8} |
12 |
(5,6) |
Topological data
| Vertex degrees | {8,4,3,8,4} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.1:208:105 3 5 7 9 11 13 118 16 18 20 22 24 26 131 29 31 33 35 37 39 144 42 44 46 48 50 52 157 55 57 59 61 63 65 170 68 70 72 74 76 78 183 81 83 85 87 89 91 196 94 96 98 100 102 104 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 4 109 8 13 10 12 15 17 122 21 26 23 25 28 30 135 34 39 36 38 41 43 148 47 52 49 51 54 56 161 60 65 62 64 67 69 174 73 78 75 77 80 82 187 86 91 88 90 93 95 200 99 104 101 103 106 108 112 117 114 116 119 121 125 130 127 129 132 134 138 143 140 142 145 147 151 156 153 155 158 160 164 169 166 168 171 173 177 182 179 181 184 186 190 195 192 194 197 199 203 208 205 207,14 28 29 6 7 34 35 88 89 116 117 41 42 19 20 47 48 101 102 129 130 53 32 33 49 50 142 143 66 45 46 155 156 80 81 58 59 86 87 75 76 168 169 93 94 71 72 99 100 181 182 92 84 85 194 195 97 98 207 208 118 132 133 110 111 138 139 192 193 145 146 123 124 151 152 205 206 157 136 137 153 154 170 149 150 184 185 162 163 190 191 179 180 197 198 175 176 203 204 196 188 189 201 202:5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 4 4 4 4 4 4 4 4,8 4 3 8 4 4 3 4 3 4 3 4 3 4 4 3 3 3 8 4 8 4 4 4> {(2, 60): 't3', (2, 189): 'tau1^-1', (2, 190): 'tau1^-1', (2, 151): 'tau3^-1', (2, 184): 'tau1^-1', (2, 59): 't3', (2, 53): 't3', (2, 54): 't3', (2, 183): 'tau1^-1', (2, 176): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 177): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 46): 't1', (2, 47): 't1', (2, 40): 't1', (2, 169): 't3*tau2*t1^-1', (2, 170): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 171): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 39): 't1*tau2^-1*t3^-1', (2, 150): 'tau3^-1', (2, 23): 't1^-1*tau2*t3', (2, 144): 'tau3^-1', (2, 145): 'tau3^-1', (2, 15): 't1^-1', (2, 137): 't2^-1', (2, 138): 't2^-1', (2, 132): 't2^-1', (2, 131): 't2^-1', (2, 126): 't1^-1*tau2*t3', (2, 127): 't1^-1*tau2*t3', (2, 98): 't3^-1*tau2^-1*t3^-1', (2, 99): 't3^-1*tau2^-1*t3^-1', (2, 92): 't3^-1*tau2^-1*t3^-1', (2, 93): 't3^-1*tau2^-1*t3^-1', (2, 22): 't1^-1*tau2*t3'}