U-tiling: UQC4687
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1528 |
*2626 |
(4,4,2) |
{3,18,12,4} |
{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.... |
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
|
|
sqc7086
|
|
R-3m |
166 |
rhombohedral |
{3,18,12,4} |
11 |
(4,4) |
|
G
|
False
|
|
sqc7195
|
|
R-3m |
166 |
rhombohedral |
{3,18,12,4} |
11 |
(4,5) |
|
D
|
False
|
|
sqc7193
|
|
R-3m |
166 |
rhombohedral |
{3,18,12,4} |
11 |
(4,4) |
Topological data
| Vertex degrees | {3,18,12,4} |
| 2D vertex symbol | {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4.4}{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
<7.2:120:2 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 98 100 102 104 106 108 110 112 114 116 118 120,21 92 5 10 7 9 31 82 15 20 17 19 112 25 30 27 29 102 35 40 37 39 61 52 45 50 47 49 71 55 60 57 59 72 65 70 67 69 75 80 77 79 101 85 90 87 89 111 95 100 97 99 105 110 107 109 115 120 117 119,3 4 25 26 17 18 109 110 13 14 35 36 119 120 23 24 47 48 79 80 33 34 57 58 69 70 43 44 65 66 99 100 53 54 75 76 89 90 63 64 87 88 73 74 97 98 83 84 105 106 93 94 115 116 103 104 117 118 113 114:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 18 12 4 3 4 4 3 3 3 3> {(2, 28): 't3', (2, 29): 't3', (1, 91): 'tau2', (2, 58): 't2', (2, 59): 't2', (1, 81): 'tau3^-1', (1, 51): 'tau1^-1', (2, 48): 't3', (2, 49): 't3', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 8): 't1^-1', (2, 9): 't1^-1', (1, 111): 'tau2', (2, 38): 't2', (2, 39): 't2', (1, 101): 'tau3^-1', (1, 71): 'tau1^-1'}