U-tiling: UQC5333
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2022 |
*222222 |
(5,6,2) |
{6,3,4,4,4} |
{3.9.3.3.9.3}{3.9.9}{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
|
|
sqc806
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,6,4} |
6 |
(5,6) |
|
G
|
False
|
|
sqc5555
|
|
C2/c |
15 |
monoclinic |
{6,3,4,4,4} |
12 |
(5,7) |
|
D
|
False
|
|
sqc5559
|
|
Imma |
74 |
orthorhombic |
{6,3,4,4,4} |
12 |
(5,6) |
Topological data
| Vertex degrees | {6,3,4,4,4} |
| 2D vertex symbol | {3.9.3.3.9.3}{3.9.9}{9.9.9.9}{9.9.9.9}{9.9.9.9} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<107.3:96:49 3 5 7 9 11 60 73 15 17 19 21 23 84 85 27 29 31 33 35 96 61 39 41 43 45 47 72 51 53 55 57 59 63 65 67 69 71 75 77 79 81 83 87 89 91 93 95,2 51 52 6 8 10 12 14 75 76 18 20 22 24 26 87 88 30 32 34 36 38 63 64 42 44 46 48 50 54 56 58 60 62 66 68 70 72 74 78 80 82 84 86 90 92 94 96,61 4 5 54 55 32 33 22 23 36 85 16 17 78 79 44 45 48 73 28 29 90 91 46 47 49 40 41 66 67 52 53 92 93 82 83 96 64 65 80 81 94 95 84 76 77 88 89:3 9 3 9 3 9 3 9,6 3 4 4 4 6 3 4 3 3 4 4> {(2, 60): 't3^-1', (2, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 57): 'tau1', (2, 58): 'tau1', (2, 53): 't3*tau2', (0, 48): 't3*tau2', (2, 55): 't3*tau2*t1^-1*tau3^-1*t2', (2, 48): 't3', (2, 44): 't1', (2, 42): 'tau2*t3', (2, 43): 't1', (2, 32): 't1', (0, 36): 'tau2*t3', (2, 29): 'tau3^-1*t2', (0, 24): 'tau3^-1*t2', (2, 31): 't1', (2, 24): 't2^-1', (2, 17): 'tau3*t2^-1', (2, 18): 'tau3*t2^-1', (1, 86): 't2^-1*tau3', (2, 12): 't2', (1, 74): 't2*tau3^-1', (0, 12): 'tau3*t2^-1', (2, 54): 't3*tau2', (1, 62): 't3^-1*tau2^-1', (1, 50): 't3*tau2', (2, 30): 'tau3^-1*t2', (2, 93): 'tau1', (2, 94): 'tau1', (2, 80): 't2*tau3^-1*t1^-1*tau2*t3', (2, 65): 't3^-1*tau2^-1', (2, 67): 't3^-1*tau2^-1*t1*tau3*t2^-1'}