U-tiling: UQC3046
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2279 |
*2626 |
(2,6,6) |
{5,4} |
{4.4.3.4.12}{3.4.6.4} |
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
|
|
sqc10053
|
|
R-3m |
166 |
rhombohedral |
{4,5} |
18 |
(2,6) |
|
G
|
False
|
|
sqc10051
|
|
R-3 |
148 |
rhombohedral |
{4,5,5} |
18 |
(3,7) |
|
D
|
False
|
|
sqc10052
|
|
R-3m |
166 |
rhombohedral |
{4,5} |
18 |
(2,6) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {4.4.3.4.12}{3.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.1:168:141 142 5 6 147 148 23 24 39 40 139 140 155 156 19 20 161 162 53 54 125 126 99 100 33 34 105 106 65 66 167 168 85 86 47 48 91 92 79 80 153 154 127 128 61 62 133 134 95 96 83 84 113 114 75 76 119 120 109 110 89 90 121 122 111 112 103 104 135 136 117 118 151 152 131 132 165 166 145 146 163 164 159 160,127 3 130 7 14 9 11 13 113 17 116 21 28 23 25 27 155 31 158 35 42 37 39 41 141 45 144 49 56 51 53 55 71 59 74 63 70 65 67 69 73 77 84 79 81 83 99 87 102 91 98 93 95 97 101 105 112 107 109 111 115 119 126 121 123 125 129 133 140 135 137 139 143 147 154 149 151 153 157 161 168 163 165 167,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168:6 4 3 4 12 4 4 3 4 4 3 4 4 3 4 4 3 4 4 3,4 5 4 5 4 5 4 5 4 5 5 4 5 5 5 5 5 5> {(0, 29): 't3', (1, 3): 'tau2^-1', (0, 140): 't1', (0, 34): 't3', (1, 42): 'tau3', (0, 154): 't1', (0, 48): 't2', (0, 166): 'tau2', (1, 45): 'tau3', (0, 42): 't2', (0, 118): 't2^-1', (1, 28): 'tau2^-1', (0, 56): 't3', (0, 27): 'tau3', (0, 6): 't1^-1', (0, 82): 'tau1^-1', (1, 112): 'tau3^-1', (1, 59): 'tau1', (0, 138): 'tau2', (1, 70): 'tau1^-1', (0, 152): 'tau3^-1', (1, 84): 'tau1', (1, 31): 'tau2^-1', (0, 28): 't3', (0, 161): 't1', (1, 115): 'tau3^-1', (0, 110): 'tau1^-1', (0, 113): 't2^-1', (1, 87): 'tau1', (0, 111): 'tau1^-1', (0, 133): 't3^-1', (1, 126): 'tau2', (0, 26): 'tau3', (0, 147): 't1', (0, 141): 't1', (0, 35): 't3', (0, 155): 't1', (0, 49): 't2', (0, 167): 'tau2', (0, 43): 't2', (0, 119): 't2^-1', (0, 160): 't1', (0, 57): 't3', (0, 112): 't2^-1', (0, 83): 'tau1^-1', (0, 139): 'tau2', (0, 153): 'tau3^-1', (0, 132): 't3^-1', }