U-tiling: UQC102
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc82 |
*266 |
(2,2,2) |
{3,6} |
{6.6.6}{6.6.6.6.6.6} |
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
|
|
sqc11083
|
|
Pn-3m |
224 |
cubic |
{6,3} |
28 |
(2,2) |
|
G
|
False
|
|
sqc11082
|
|
Ia-3 |
206 |
cubic |
{6,3} |
28 |
(2,2) |
|
D
|
False
|
|
sqc11248
|
|
Fd-3m |
227 |
cubic |
{6,3} |
28 |
(2,2) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {6.6.6}{6.6.6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:192:2 27 28 6 35 36 10 47 48 14 59 60 18 79 80 22 99 100 26 30 127 128 34 38 155 156 42 71 72 46 50 167 168 54 91 92 58 62 183 184 66 115 116 70 74 131 132 78 82 111 112 86 143 144 90 94 159 160 98 102 139 140 106 171 172 110 114 118 175 176 122 163 164 126 130 134 187 188 138 142 146 191 192 150 179 180 154 158 162 166 170 174 178 182 186 190,9 3 8 13 7 11 20 15 24 29 19 37 23 45 27 44 31 52 57 35 56 39 64 65 43 47 76 81 51 85 55 59 96 101 63 67 108 113 71 112 117 75 125 79 124 83 104 87 136 141 91 140 145 95 153 99 152 103 161 107 165 111 115 148 119 144 169 123 127 160 173 131 156 177 135 181 139 143 147 185 151 155 189 159 163 184 167 180 171 188 175 192 179 183 187 191,5 6 4 8 17 18 12 21 22 16 20 24 41 42 28 49 50 32 53 54 36 61 62 40 44 73 74 48 52 56 93 94 60 64 105 106 68 109 110 72 76 121 122 80 101 102 84 133 134 88 137 138 92 96 149 150 100 104 108 112 145 146 116 141 142 120 124 157 158 128 153 154 132 136 140 144 148 152 156 160 181 182 164 177 178 168 185 186 172 189 190 176 180 184 188 192:6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6,6 3 3 3 6 3 3 6 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 87): 't1^-1', (1, 115): 'tau3^-1', (0, 190): 't2^-1', (0, 179): 't2^-1', (2, 112): 'tau3^-1', (1, 87): 'tau3', (0, 159): 't2^-1', (0, 171): 't3', (2, 184): 'tau1^-1', (0, 43): 't1^-1', (2, 65): 'tau2^-1', (2, 140): 'tau2', (0, 55): 't1^-1', (0, 150): 't2', (2, 133): 'tau3^-1', (0, 162): 't3^-1', (0, 115): 't1', (0, 106): 't3^-1', (2, 189): 'tau1', (0, 135): 't2^-1', (0, 119): 't3', (2, 104): 'tau2', (0, 147): 't2', (0, 114): 't1', (1, 119): 'tau2^-1', (2, 185): 'tau1^-1', (1, 191): 'tau1', (0, 158): 't2^-1', (2, 141): 'tau2', (0, 42): 't1^-1', (2, 145): 'tau3', (1, 67): 'tau2^-1', (0, 54): 't1^-1', (0, 163): 't3^-1', (0, 86): 't1^-1', (2, 132): 'tau3^-1', (0, 186): 't2', (0, 75): 't3', (0, 174): 't3^-1', (0, 74): 't3', (1, 187): 'tau1^-1', (2, 188): 'tau1', }