U-tiling: UQC3218
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc577 |
2*26 |
(1,4,3) |
{4} |
{4.4.4.12} |
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
|
|
sqc5582
|
uma
|
R-3m |
166 |
rhombohedral |
{4} |
12 |
(1,4) |
|
G
|
False
|
|
sqc11212
|
|
R-3c |
167 |
rhombohedral |
{4,4} |
24 |
(2,5) |
|
D
|
False
|
|
sqc5575
|
cha
|
R-3m |
166 |
rhombohedral |
{4} |
12 |
(1,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.4.4.12}{4.4.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.2:192:33 34 147 148 165 166 9 10 171 172 29 30 47 48 49 50 131 132 181 182 25 26 187 188 63 64 179 180 117 118 41 42 123 124 77 78 163 164 101 102 57 58 107 108 93 94 97 98 83 84 149 150 73 74 155 156 111 112 113 114 133 134 89 90 139 140 127 128 115 116 105 106 141 142 121 122 157 158 161 162 137 138 175 176 177 178 153 154 191 192 169 170 189 190 185 186,3 8 5 7 11 16 13 15 19 24 21 23 27 32 29 31 35 40 37 39 43 48 45 47 51 56 53 55 59 64 61 63 67 72 69 71 75 80 77 79 83 88 85 87 91 96 93 95 99 104 101 103 107 112 109 111 115 120 117 119 123 128 125 127 131 136 133 135 139 144 141 143 147 152 149 151 155 160 157 159 163 168 165 167 171 176 173 175 179 184 181 183 187 192 189 191,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192:4 4 12 4 4 12 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 4> {(0, 85): 't2', (0, 51): 'tau3', (0, 37): 't3', (0, 18): 'tau3', (0, 43): 't3', (0, 53): 't2', (0, 171): 't1', (0, 20): 't1^-1', (0, 138): 't2^-1', (0, 115): 'tau1^-1', (0, 21): 't1^-1', (0, 148): 't3^-1', (0, 34): 'tau2^-1', (0, 147): 'tau2', (0, 170): 't1', (0, 59): 't2', (0, 164): 't1', (0, 154): 't3^-1', (0, 82): 'tau1^-1', (0, 36): 't3', (0, 19): 'tau3', (0, 114): 'tau1^-1', (0, 50): 'tau3', (0, 155): 't3^-1', (0, 149): 't3^-1', (0, 146): 'tau2', (0, 139): 't2^-1', (0, 52): 't2', (0, 42): 't3', (0, 83): 'tau1^-1', (0, 35): 'tau2^-1', (0, 165): 't1', (0, 186): 't1', (0, 27): 't1^-1', (0, 132): 't2^-1', (0, 58): 't2', }