U-tiling: UQC3079
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2296 |
*2626 |
(2,6,6) |
{4,6} |
{12.4.3.4}{3.4.4.6.4.4} |
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
|
|
sqc10025
|
|
R-3m |
166 |
rhombohedral |
{6,4} |
18 |
(2,6) |
|
G
|
False
|
|
sqc10024
|
|
R-3 |
148 |
rhombohedral |
{6,4,4} |
18 |
(3,7) |
|
D
|
False
|
|
sqc10018
|
|
R-3m |
166 |
rhombohedral |
{6,4} |
18 |
(2,6) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {12.4.3.4}{3.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.2:168:15 16 143 144 7 8 149 150 137 138 41 42 157 158 21 22 163 164 123 124 55 56 57 58 101 102 35 36 107 108 165 166 71 72 87 88 49 50 93 94 151 152 129 130 63 64 135 136 81 82 97 98 115 116 77 78 121 122 111 112 113 114 91 92 109 110 127 128 105 106 119 120 153 154 133 134 167 168 155 156 147 148 161 162,29 3 5 34 9 14 11 13 43 17 19 48 23 28 25 27 31 33 37 42 39 41 45 47 51 56 53 55 85 59 61 90 65 70 67 69 99 73 75 104 79 84 81 83 87 89 93 98 95 97 101 103 107 112 109 111 141 115 117 146 121 126 123 125 155 129 131 160 135 140 137 139 143 145 149 154 151 153 157 159 163 168 165 167,2 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 4 3 12 4 4 3 4 4 4 4 4 4 3 4 4 3 3 3,6 4 6 4 4 4 6 4 6 4 4 4 6 4 6 4 4 4> {(0, 80): 'tau1^-1', (0, 157): 't1', (0, 134): 't3^-1', (0, 51): 't2', (0, 37): 't3', (0, 31): 't3', (0, 53): 'tau3', (0, 148): 't1', (0, 10): 'tau2^-1', (0, 115): 't2^-1', (0, 45): 't2', (0, 121): 't2^-1', (0, 162): 't1', (0, 24): 'tau3', (0, 142): 't1', (0, 59): 't3', (0, 164): 'tau2', (0, 81): 'tau1^-1', (0, 135): 't3^-1', (0, 156): 't1', (0, 50): 't2', (0, 114): 't2^-1', (0, 149): 't1', (0, 30): 't3', (0, 11): 'tau2^-1', (0, 52): 'tau3', (0, 106): 't3^-1', (0, 23): 't1^-1', (0, 109): 'tau1^-1', (0, 44): 't2', (0, 25): 'tau3', (0, 143): 't1', (0, 120): 't2^-1', (0, 165): 'tau2', (0, 108): 'tau1^-1', (0, 58): 't3', }