U-tiling: UQC5781
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2337 |
*22222 |
(5,7,2) |
{4,4,4,4,4} |
{6.6.6.6}{6.4.4.6}{6.6.4.4}{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
|
|
sqc6873
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
|
G
|
False
|
|
sqc11826
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
|
D
|
False
|
|
sqc6652
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.4.4.6}{6.6.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.2:224:127 3 5 7 9 11 13 140 155 17 19 21 23 25 27 168 183 31 33 35 37 39 41 196 211 45 47 49 51 53 55 224 141 59 61 63 65 67 69 154 113 73 75 77 79 81 83 126 197 87 89 91 93 95 97 210 169 101 103 105 107 109 111 182 115 117 119 121 123 125 129 131 133 135 137 139 143 145 147 149 151 153 157 159 161 163 165 167 171 173 175 177 179 181 185 187 189 191 193 195 199 201 203 205 207 209 213 215 217 219 221 223,2 4 14 8 13 10 12 16 18 28 22 27 24 26 30 32 42 36 41 38 40 44 46 56 50 55 52 54 58 60 70 64 69 66 68 72 74 84 78 83 80 82 86 88 98 92 97 94 96 100 102 112 106 111 108 110 114 116 126 120 125 122 124 128 130 140 134 139 136 138 142 144 154 148 153 150 152 156 158 168 162 167 164 166 170 172 182 176 181 178 180 184 186 196 190 195 192 194 198 200 210 204 209 206 208 212 214 224 218 223 220 222,113 58 59 6 7 64 65 24 25 40 41 42 141 72 73 20 21 78 79 54 55 56 169 86 87 34 35 92 93 52 53 197 100 101 48 49 106 107 155 62 63 80 81 96 97 98 127 76 77 110 111 112 211 90 91 108 109 183 104 105 156 157 118 119 162 163 150 151 180 181 182 142 143 132 133 148 149 164 165 194 195 196 146 147 208 209 210 160 161 222 223 224 212 213 174 175 218 219 206 207 198 199 188 189 204 205 220 221 202 203 216 217:6 4 6 4 6 4 6 4 6 4 6 4 6 4 6 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 4 4 4 4 4 4 4 4 4> {(2, 189): 'tau2^-1*t1*tau3', (0, 56): 't2^-1', (2, 191): 't3*tau1^-1*t2^-1', (2, 184): 'tau2^-1*t1*tau3', (2, 180): 't3^-1', (2, 181): 't3^-1', (2, 182): 'tau2^-1', (2, 183): 'tau2^-1*t1*tau3', (2, 176): 'tau2*t1^-1*tau3^-1', (2, 177): 't3^-1*tau1*t2', (2, 178): 't3^-1*tau1*t2', (2, 179): 't3^-1', (2, 44): 't1^-1', (2, 36): 't1^-1', (2, 175): 'tau2*t1^-1*tau3^-1', (2, 168): 'tau2', (2, 169): 'tau2*t1^-1*tau3^-1', (2, 170): 'tau2*t1^-1*tau3^-1', (2, 43): 't1^-1', (2, 164): 'tau1', (2, 165): 't2^-1', (2, 166): 't2^-1', (2, 167): 't2^-1', (2, 163): 'tau1', (0, 27): 't2', (2, 30): 't1^-1', (0, 153): 't2', (2, 152): 't2', (2, 153): 't2', (2, 149): 'tau1^-1', (2, 150): 'tau1^-1', (2, 151): 't2', (0, 14): 't2', (2, 137): 't3^-1', (2, 138): 't3^-1', (0, 13): 't3', (0, 0): 't3', (2, 35): 't1^-1', (0, 125): 't3', (0, 112): 't3', (2, 49): 't1^-1', (2, 50): 't1^-1', (2, 220): 't2*tau1*t3^-1', (2, 210): 'tau3', (2, 204): 'tau3^-1*t1^-1*tau2', (2, 196): 'tau3^-1', (2, 29): 't1^-1', (2, 195): 't3'}