U-tiling: UQC5342
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
|
|
sqc817
|
|
Pmmm |
47 |
orthorhombic |
{3,4,3,4,4} |
7 |
(5,6) |
|
G
|
False
|
|
sqc5220
|
|
C2/c |
15 |
monoclinic |
{3,3,4,4,4} |
14 |
(5,7) |
|
D
|
False
|
|
sqc5226
|
|
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
<109.3:96:49 3 5 7 9 11 72 73 15 17 19 21 23 96 85 27 29 31 33 35 84 61 39 41 43 45 47 60 51 53 55 57 59 63 65 67 69 71 75 77 79 81 83 87 89 91 93 95,2 27 64 6 8 10 12 14 39 88 18 20 22 24 26 76 30 32 34 36 38 52 42 44 46 48 50 87 54 56 58 60 62 75 66 68 70 72 74 78 80 82 84 86 90 92 94 96,61 4 5 30 31 20 21 34 35 60 85 16 17 42 43 46 47 84 73 28 29 44 45 96 49 40 41 72 52 53 90 91 80 81 94 95 64 65 78 79 92 93 82 83 76 77 88 89:6 9 6 9 9 9,3 3 4 4 4 3 3 4 3 3 3 4 4 3> {(2, 60): 't3^-1', (0, 59): 't3', (2, 56): 'tau1', (0, 60): 't3^-1*tau2^-1', (2, 53): 't3*tau2*t1^-1*tau3^-1*t2', (2, 54): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 'tau1', (2, 48): 't3', (0, 23): 't2', (2, 42): 't1', (0, 35): 't2^-1', (2, 29): 't1', (0, 24): 'tau3^-1*t2', (2, 24): 't2^-1', (2, 17): 't1^-1', (1, 87): 't2^-1', (1, 86): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 12): 't2', (0, 11): 't3', (1, 75): 't2', (1, 74): 't2*tau3^-1*t1^-1*tau2*t3', (0, 12): 'tau3*t2^-1', (2, 6): 't1^-1', (0, 48): 't3*tau2', (1, 63): 't3^-1', (1, 51): 't3', (1, 38): 't1', (2, 92): 'tau1', (1, 26): 't1', (2, 78): 't2*tau3^-1*t1^-1*tau2*t3', (2, 65): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 67): 'tau1^-1'}