U-tiling: UQC5559
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2218 |
*2626 |
(5,6,2) |
{4,3,12,4,12} |
{3.5.5.3}{3.5.5}{5.5.5.5.5.5.5.5... |
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
|
|
sqc9325
|
|
R-3m |
166 |
rhombohedral |
{4,3,12,4,12} |
17 |
(5,6) |
|
G
|
False
|
|
sqc9322
|
|
R-3m |
166 |
rhombohedral |
{4,3,12,4,12} |
17 |
(5,7) |
|
D
|
False
|
|
sqc9324
|
|
R-3m |
166 |
rhombohedral |
{4,3,12,4,12} |
17 |
(5,6) |
Topological data
| Vertex degrees | {4,3,12,4,12} |
| 2D vertex symbol | {3.5.5.3}{3.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.1:156:118 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 98 100 102 104 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156,2 120 6 13 8 10 12 15 107 19 26 21 23 25 28 146 32 39 34 36 38 41 133 45 52 47 49 51 54 68 58 65 60 62 64 67 71 78 73 75 77 80 94 84 91 86 88 90 93 97 104 99 101 103 106 110 117 112 114 116 119 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155,27 4 5 32 33 21 22 140 141 129 130 40 17 18 45 46 153 154 116 117 30 31 60 61 101 102 155 156 43 44 73 74 88 89 142 143 79 56 57 84 85 127 128 77 78 92 69 70 97 98 114 115 82 83 112 113 103 104 95 96 125 126 131 108 109 136 137 144 121 122 149 150 134 135 151 152 147 148:3 5 3 5 3 5 3 5 3 5 5 3 5 5 5 5 5 5,4 3 12 4 12 4 3 3 4 3 4 4 3 4 3 4 4> {(2, 61): 't3', (2, 62): 't3', (2, 63): 'tau1', (2, 48): 't2', (2, 49): 't2', (2, 50): 'tau3', (2, 51): 'tau3', (1, 106): 'tau3^-1', (2, 36): 't3', (2, 37): 'tau2^-1', (2, 38): 'tau2^-1', (0, 39): 'tau3', (2, 35): 't3', (0, 26): 'tau2^-1', (2, 12): 'tau2^-1', (2, 152): 't1', (2, 25): 'tau3', (1, 80): 'tau1', (2, 23): 't1^-1', (2, 140): 't1', (2, 139): 't1', (0, 0): 'tau2^-1', (2, 128): 'tau2', (0, 13): 'tau3', (2, 113): 't2^-1', (2, 114): 't2^-1', (1, 54): 'tau1', (1, 41): 'tau3', (1, 119): 'tau2', (2, 24): 'tau3', (2, 102): 'tau1^-1', (2, 103): 'tau1^-1', (0, 91): 'tau1^-1', (1, 28): 'tau2^-1', (2, 77): 'tau1^-1', (0, 52): 'tau1'}