U-tiling: UQC5767
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc464 |
*2224 |
(3,4,2) |
{4,4,4} |
{8.8.8.8}{8.3.3.8}{3.3.3.3} |
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
|
|
sqc6171
|
|
Fmmm |
69 |
orthorhombic |
{4,4,4,3,4} |
14 |
(5,7) |
|
G
|
False
|
|
sqc11823
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4,4} |
28 |
(5,8) |
|
D
|
False
|
|
sqc6669
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.2:224:127 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 12 8 11 10 14 16 18 26 22 25 24 28 30 32 40 36 39 38 42 44 46 54 50 53 52 56 58 60 68 64 67 66 70 72 74 82 78 81 80 84 86 88 96 92 95 94 98 100 102 110 106 109 108 112 114 116 124 120 123 122 126 128 130 138 134 137 136 140 142 144 152 148 151 150 154 156 158 166 162 165 164 168 170 172 180 176 179 178 182 184 186 194 190 193 192 196 198 200 208 204 207 206 210 212 214 222 218 221 220 224,113 58 59 6 7 64 65 24 25 26 27 42 141 72 73 20 21 78 79 56 169 86 87 34 35 92 93 52 53 54 55 197 100 101 48 49 106 107 155 62 63 80 81 82 83 98 127 76 77 112 211 90 91 108 109 110 111 183 104 105 156 157 118 119 162 163 150 151 152 153 182 142 143 132 133 148 149 164 165 166 167 196 146 147 210 160 161 224 212 213 174 175 218 219 206 207 208 209 198 199 188 189 204 205 220 221 222 223 202 203 216 217:8 3 8 3 8 3 8 3 8 3 8 3 8 3 8 3 3 3 3 3 3 3 3 3,4 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*tau1*t2', (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*tau1*t2', (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): 'tau1', (2, 166): 'tau1', (2, 167): 't2^-1', (2, 163): 'tau1', (0, 27): 't2', (2, 30): 't1^-1', (0, 153): 't2', (2, 152): 'tau1^-1', (2, 153): 't2', (2, 149): 'tau1^-1', (2, 150): 'tau1^-1', (2, 151): 'tau1^-1', (0, 14): 't2', (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, 221): 't2*tau1*t3^-1', (2, 222): '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'}