U-tiling: UQC2991
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2321 |
*2626 |
(2,6,5) |
{4,3} |
{4.24.4.12}{4.4.24} |
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
|
|
sqc10095
|
|
R-3m |
166 |
rhombohedral |
{3,4} |
24 |
(2,6) |
|
G
|
False
|
|
sqc10094
|
|
R-3 |
148 |
rhombohedral |
{3,3,4,4} |
24 |
(4,7) |
|
D
|
False
|
|
sqc10093
|
|
R-3m |
166 |
rhombohedral |
{3,4} |
24 |
(2,6) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.24.4.12}{4.4.24} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:168:29 30 129 130 7 8 149 150 25 26 41 42 43 44 115 116 21 22 163 164 55 56 157 158 35 36 107 108 67 68 143 144 49 50 93 94 81 82 85 86 73 74 63 64 135 136 97 98 99 100 77 78 121 122 111 112 101 102 91 92 123 124 105 106 137 138 141 142 119 120 153 154 155 156 133 134 167 168 147 148 165 166 161 162,3 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 97 101 104 103 107 112 109 111 115 118 117 121 126 123 125 129 132 131 135 140 137 139 143 146 145 149 154 151 153 157 160 159 163 168 165 167,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168:4 4 24 4 12 4 4 4 4 4 4 4 4 4,3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4> {(0, 157): 'tau2', (0, 51): 't2', (0, 129): 'tau2', (0, 45): 'tau3', (0, 121): 't2^-1', (0, 162): 't1', (0, 59): 'tau1', (0, 100): 'tau1^-1', (0, 163): 't1', (0, 101): 'tau1^-1', (0, 16): 'tau3', (0, 134): 't3^-1', (0, 148): 't1', (0, 36): 't3', (0, 17): 'tau3', (0, 135): 't3^-1', (0, 156): 'tau2', (0, 50): 't2', (0, 149): 't1', (0, 128): 'tau2', (0, 44): 'tau3', (0, 120): 't2^-1', (0, 37): 't3', (0, 58): 'tau1', }