U-tiling: UQC2822
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2169 |
*2626 |
(2,6,5) |
{4,5} |
{12.4.4.4}{4.6.4.4.4} |
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
|
|
sqc9348
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
18 |
(2,6) |
|
G
|
False
|
|
sqc9347
|
|
R-3 |
148 |
rhombohedral |
{5,4,4} |
18 |
(3,7) |
|
D
|
False
|
|
sqc9350
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
18 |
(2,6) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {12.4.4.4}{4.6.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:156:27 4 5 32 33 21 22 140 141 142 143 40 17 18 45 46 153 154 155 156 30 31 60 61 101 102 103 104 43 44 73 74 88 89 90 91 79 56 57 84 85 127 128 129 130 92 69 70 97 98 114 115 116 117 82 83 112 113 95 96 125 126 131 108 109 136 137 144 121 122 149 150 134 135 151 152 147 148,2 12 6 11 8 10 130 15 25 19 24 21 23 117 28 38 32 37 34 36 156 41 51 45 50 47 49 143 54 64 58 63 60 62 78 67 77 71 76 73 75 80 90 84 89 86 88 104 93 103 97 102 99 101 106 116 110 115 112 114 119 129 123 128 125 127 132 142 136 141 138 140 145 155 149 154 151 153,118 3 5 7 9 11 13 105 16 18 20 22 24 26 144 29 31 33 35 37 39 131 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156:4 4 12 4 6 4 4 4 4 4 4 4 4 4 4 4 4,5 4 5 4 5 4 5 4 5 4 4 5 4 4 4 4 4 4> {(2, 91): 'tau1^-1', (0, 51): 't2', (1, 77): 'tau1^-1', (0, 62): 't3', (0, 139): 't1', (0, 129): 't3^-1', (0, 115): 't2^-1', (0, 22): 't1^-1', (0, 12): 't1^-1', (1, 103): 'tau1^-1', (2, 13): 'tau3', (0, 24): 't1^-1', (0, 36): 't3', (0, 49): 't2', (0, 48): 't2', (0, 61): 't3', (0, 38): 't3', (2, 26): 'tau2^-1', (1, 12): 'tau2^-1', (0, 50): 't2', (0, 63): 't3', (0, 75): 't2', (2, 52): 'tau1', (0, 11): 't1^-1', (0, 116): 't2^-1', (2, 39): 'tau3', (0, 23): 't1^-1', (1, 51): 'tau3', (0, 35): 't3', (0, 113): 't2^-1', (0, 25): 't1^-1', (1, 38): 'tau2^-1', (0, 37): 't3', (2, 117): 'tau2', (1, 116): 'tau3^-1', (0, 140): 't1', }