U-tiling: UQC5340
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2024 |
*222222 |
(5,6,2) |
{3,3,4,4,4} |
{6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}... |
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
|
|
sqc14551
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,4,4} |
7 |
(5,6) |
|
G
|
False
|
|
sqc5489
|
|
C2/c |
15 |
monoclinic |
{3,3,4,4,4} |
14 |
(5,7) |
|
D
|
False
|
|
sqc5483
|
|
Imma |
74 |
orthorhombic |
{3,3,4,4,4} |
14 |
(5,6) |
Topological data
| Vertex degrees | {3,3,4,4,4} |
| 2D vertex symbol | {6.9.6}{6.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<109.2:96:25 3 5 7 9 11 60 37 15 17 19 21 23 84 27 29 31 33 35 96 39 41 43 45 47 72 85 51 53 55 57 59 73 63 65 67 69 71 75 77 79 81 83 87 89 91 93 95,2 15 52 6 8 10 12 14 76 18 20 22 24 26 39 88 30 32 34 36 38 64 42 44 46 48 50 75 54 56 58 60 62 87 66 68 70 72 74 78 80 82 84 86 90 92 94 96,49 4 5 18 19 32 33 58 59 72 73 16 17 44 45 82 83 96 85 28 29 42 43 94 95 84 61 40 41 70 71 60 52 53 78 79 92 93 64 65 90 91 80 81 76 77 88 89:6 9 9 9 9 6,3 3 4 4 4 3 4 4 3 3 3 3 4 3> {(2, 60): 't3^-1*tau2^-1', (0, 59): 't3*tau2', (0, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 59): 't3', (2, 53): 'tau1', (2, 54): 'tau1', (2, 48): 't3*tau2', (0, 47): 'tau2*t3', (0, 35): 'tau3^-1*t2', (0, 36): 't1', (2, 35): 't2^-1', (0, 24): 't1', (2, 24): 'tau3^-1*t2', (2, 23): 't2', (0, 23): 'tau3*t2^-1', (1, 87): 't2^-1*tau3', (1, 86): 'tau1', (2, 12): 'tau3*t2^-1', (1, 75): 't2*tau3^-1', (1, 74): 'tau1^-1', (2, 11): 't3', (0, 48): 't3*tau2*t1^-1*tau3^-1*t2', (1, 63): 't3^-1*tau2^-1', (1, 51): 't3*tau2', (2, 90): 'tau1', (2, 65): 'tau1^-1'}