U-tiling: UQC5629
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2231 |
*22222 |
(5,6,2) |
{4,8,3,4,4} |
{5.5.5.5}{5.4.4.5.5.4.4.5}{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
|
|
sqc11272
|
|
P4/mmm |
123 |
tetragonal |
{3,8,3,4,4} |
24 |
(5,6) |
|
G
|
False
|
|
sqc11395
|
|
I4122 |
98 |
tetragonal |
{4,8,3,4,4} |
24 |
(5,7) |
|
D
|
False
|
|
sqc5965
|
|
P4222 |
93 |
tetragonal |
{4,4,4,3,8} |
12 |
(5,6) |
Topological data
| Vertex degrees | {4,8,3,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.2:208:53 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 4 57 8 13 10 12 15 17 70 21 26 23 25 28 30 83 34 39 36 38 41 43 109 47 52 49 51 54 56 60 65 62 64 67 69 73 78 75 77 80 82 86 91 88 90 93 95 161 99 104 101 103 106 108 112 117 114 116 119 121 174 125 130 127 129 132 134 187 138 143 140 142 145 147 200 151 156 153 155 158 160 164 169 166 168 171 173 177 182 179 181 184 186 190 195 192 194 197 199 203 208 205 207,118 28 29 6 7 21 22 36 37 64 65 92 41 42 19 20 49 50 77 78 144 32 33 47 48 90 91 131 45 46 116 117 170 80 81 58 59 99 100 88 89 157 106 107 71 72 125 126 114 115 196 84 85 138 139 132 133 97 98 140 141 168 169 183 110 111 151 152 145 146 123 124 153 154 181 182 136 137 194 195 149 150 207 208 184 185 162 163 177 178 192 193 197 198 175 176 205 206 188 189 203 204 201 202:5 4 5 4 5 4 5 4 4 4 4 5 4 4 5 4 5 4 5 4 4 4 4 4,4 8 3 4 4 4 3 4 3 3 4 8 4 4 8 4 3 4 3 4 3 3 8 4> {(2, 60): 't3', (2, 189): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 190): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 191): 'tau2*t3', (2, 184): 't1*tau3*t2^-1', (2, 59): 't3', (2, 53): 't3*tau2', (2, 182): 't1', (2, 183): 't1*tau3*t2^-1', (2, 176): 'tau1', (2, 177): 'tau1', (2, 178): 't2^-1*tau3*t1', (2, 179): 't2^-1*tau3*t1', (2, 46): 't1', (2, 47): 't1', (1, 108): 't1^-1', (2, 170): 't3*tau2', (2, 171): 't3*tau2', (2, 166): 't3^-1*tau2^-1', (0, 39): 't1', (2, 152): 'tau3^-1*t2', (2, 153): 'tau3^-1*t2', (2, 154): 't1', (2, 155): 't1', (2, 150): 'tau3^-1', (2, 151): 'tau3^-1', (2, 140): 'tau2*t3', (2, 143): 't1', (2, 137): 'tau2', (2, 138): 'tau2', (2, 139): 'tau2*t3', (2, 54): 't3*tau2', (2, 2): 't1', (0, 143): 't1', (2, 124): 't2^-1', (2, 125): 't2^-1', (2, 48): 't1', (2, 49): 't1', (2, 50): 't1', (2, 106): 'tau3*t2^-1', (2, 51): 't1', (2, 27): 't1^-1', (1, 199): 't1^-1', (2, 105): 'tau3*t2^-1'}