U-tiling: UQC5820
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2376 |
*2626 |
(5,6,2) |
{4,4,24,4,12} |
{3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4... |
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
|
|
sqc9961
|
|
R-3m |
166 |
rhombohedral |
{4,4,24,4,12} |
14 |
(5,6) |
|
G
|
False
|
|
sqc9945
|
|
R-3m |
166 |
rhombohedral |
{4,4,24,4,12} |
14 |
(5,7) |
|
D
|
False
|
|
sqc9944
|
|
R-3m |
166 |
rhombohedral |
{4,4,24,4,12} |
14 |
(5,6) |
Topological data
| Vertex degrees | {4,4,24,4,12} |
| 2D vertex symbol | {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:168:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168,3 6 5 9 14 11 13 17 20 19 23 28 25 27 31 34 33 37 42 39 41 45 48 47 51 56 53 55 59 62 61 65 70 67 69 73 76 75 79 84 81 83 87 90 89 93 98 95 97 101 104 103 107 112 109 111 115 118 117 121 126 123 125 129 132 131 135 140 137 139 143 146 145 149 154 151 153 157 160 159 163 168 165 167,127 128 31 32 7 8 23 24 151 152 139 140 113 114 45 46 21 22 165 166 125 126 155 156 35 36 65 66 109 110 167 168 141 142 49 50 79 80 95 96 153 154 71 72 87 88 63 64 137 138 83 84 101 102 77 78 123 124 99 100 91 92 121 122 111 112 105 106 135 136 143 144 119 120 157 158 133 134 147 148 163 164 161 162:3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4,4 4 24 4 12 4 4 4 4 4 4 4 4 4> {(2, 56): 'tau1', (2, 57): 'tau1', (2, 52): 't2', (2, 53): 't2', (2, 54): 'tau3', (2, 55): 'tau3', (2, 40): 'tau2^-1', (2, 41): 'tau2^-1', (2, 42): 'tau3', (2, 43): 'tau3', (2, 164): 't1', (2, 165): 't1', (2, 38): 't3', (2, 39): 't3', (2, 28): 'tau2^-1', (2, 29): 'tau2^-1', (2, 150): 't1', (2, 151): 't1', (2, 14): 'tau3', (2, 15): 'tau3', (2, 136): 't3^-1', (2, 137): 't3^-1', (2, 138): 'tau2', (2, 139): 'tau2', (2, 0): 'tau2^-1', (2, 1): 'tau2^-1', (2, 124): 'tau3^-1', (2, 125): 'tau3^-1', (2, 122): 't2^-1', (2, 123): 't2^-1', (2, 110): 'tau1^-1', (2, 111): 'tau1^-1', (2, 98): 'tau1^-1', (2, 99): 'tau1^-1', (2, 82): 'tau1^-1', (2, 83): 'tau1^-1'}