U-tiling: UQC1584
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1085 |
*2626 |
(2,4,4) |
{4,5} |
{6.8.3.8}{8.6.8.3.3} |
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
|
|
sqc6202
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc6203
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc6216
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {6.8.3.8}{8.6.8.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<51.2:108:82 4 5 96 97 17 18 73 13 14 105 106 100 22 23 69 70 44 45 91 31 32 60 61 53 54 46 40 41 87 88 49 50 78 79 64 58 59 80 81 67 68 89 90 76 77 85 86 94 95 107 108 103 104,2 8 85 6 88 27 11 17 76 15 79 36 20 26 103 24 106 29 35 94 33 97 38 44 49 42 52 63 47 53 51 72 56 62 67 60 70 65 71 69 74 80 78 99 83 89 87 108 92 98 96 101 107 105,19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 64 48 50 52 54 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108:3 8 6 6 3 3 8 3 8 3 3,5 4 5 4 4 4 5 4 5 4 5 5> {(0, 51): 't2', (0, 41): 't3', (0, 18): 'tau2^-1', (1, 48): 'tau1^-1', (0, 45): 'tau1^-1', (1, 60): 'tau1', (1, 93): 'tau3^-1', (0, 5): 't1^-1', (0, 59): 't2^-1', (1, 75): 'tau3^-1', (0, 9): 'tau3', (0, 63): 'tau1^-1', (1, 87): 'tau2', (0, 42): 't3', (0, 23): 't3', (1, 51): 'tau1^-1', (1, 102): 'tau2', (0, 27): 'tau3', (0, 6): 't1^-1', (0, 60): 't2^-1', (0, 24): 't3', (0, 14): 't1^-1', (1, 84): 'tau2', (1, 66): 'tau1^-1', (0, 50): 't2', (1, 78): 'tau3^-1', (0, 0): 'tau2^-1', (1, 105): 'tau2', (0, 15): 't1^-1', (1, 96): 'tau3^-1', }