U-tiling: UQC2409
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1326 |
*2626 |
(2,4,5) |
{12,4} |
{6.4.3.3.3.4.6.4.3.3.3.4}{3.3.6.3} |
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
|
|
sqc7049
|
|
R-3m |
166 |
rhombohedral |
{4,12} |
9 |
(2,4) |
|
G
|
False
|
|
sqc7045
|
|
R-3m |
166 |
rhombohedral |
{4,12} |
9 |
(2,4) |
|
D
|
False
|
|
sqc7047
|
|
R-3m |
166 |
rhombohedral |
{4,12} |
9 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {6.4.3.3.3.4.6.4.3.3.3.4}{3.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<60.2:120:11 12 5 6 27 28 99 100 15 16 37 38 89 90 41 42 25 26 119 120 51 52 35 36 109 110 45 46 67 68 59 60 55 56 77 78 81 82 65 66 79 80 91 92 75 76 85 86 107 108 95 96 117 118 111 112 105 106 115 116,21 3 24 15 7 9 110 31 13 34 17 19 120 23 45 27 29 80 33 55 37 39 70 61 43 64 47 49 100 71 53 74 57 59 90 63 85 67 69 73 95 77 79 101 83 104 87 89 111 93 114 97 99 103 115 107 109 113 117 119,2 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 98 100 102 104 106 108 110 112 114 116 118 120:6 3 3 4 6 3 4 3 3 3 4 3 3 3 3 3 3,4 12 4 12 12 4 4 4 4> {(0, 39): 'tau3', (0, 29): 'tau2^-1', (1, 99): 't3^-1', (0, 19): 'tau3', (0, 28): 'tau2^-1', (1, 39): 't2', (1, 119): 't1', (1, 109): 't1', (0, 18): 'tau3', (1, 89): 't2^-1', (1, 79): 't3^-1', (0, 38): 'tau3', (0, 9): 'tau2^-1', (0, 8): 'tau2^-1', (0, 79): 'tau1^-1', (0, 78): 'tau1^-1', (0, 59): 'tau1^-1', (0, 58): 'tau1^-1', }