U-tiling: UQC2537
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1922 |
*222222 |
(2,6,5) |
{9,3} |
{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
|
|
sqc732
|
|
Pmmm |
47 |
orthorhombic |
{3,9} |
4 |
(2,6) |
|
G
|
False
|
|
sqc4810
|
|
C2/c |
15 |
monoclinic |
{3,9} |
8 |
(2,7) |
|
D
|
True
|
|
sqc4132
|
|
Imma |
74 |
orthorhombic |
{3,8} |
8 |
(2,6) |
Topological data
| Vertex degrees | {9,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<110.3:96:61 4 5 66 67 56 57 34 35 24 85 16 17 90 91 80 81 46 47 73 28 29 78 79 92 93 48 49 40 41 54 55 68 69 52 53 94 95 84 64 65 82 83 96 76 77 88 89,2 51 6 29 8 10 12 14 75 18 41 20 22 24 26 87 30 32 34 36 38 63 42 44 46 48 50 54 89 56 58 60 62 66 77 68 70 72 74 78 80 82 84 86 90 92 94 96,49 3 5 7 9 11 36 73 15 17 19 21 23 48 85 27 29 31 33 35 61 39 41 43 45 47 51 53 55 57 59 96 63 65 67 69 71 84 75 77 79 81 83 87 89 91 93 95:4 4 4 4 4 4 4 4 4 4 4 4,3 9 3 9 3 3 9 9> {(0, 29): 't2^-1', (0, 30): 't2^-1', (2, 47): 't1', (0, 18): 't2', (0, 95): 'tau1', (1, 88): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 12): 't2', (0, 5): 't3', (0, 59): 'tau1', (0, 48): 't3', (1, 86): 't2^-1*tau3', (1, 76): 't2*tau3^-1*t1^-1*tau2*t3', (2, 24): 'tau3^-1*t2', (2, 48): 't3*tau2', (0, 6): 't3', (0, 60): 't3^-1', (0, 53): 't3', (2, 71): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 12): 'tau3*t2^-1', (1, 50): 't3*tau2', (1, 40): 't1', (1, 4): 't1^-1', (0, 24): 't2^-1', (1, 62): 't3^-1*tau2^-1', (0, 17): 't2', (2, 59): 't3*tau2*t1^-1*tau3^-1*t2', (0, 54): 't3', (1, 74): 't2*tau3^-1', (2, 35): 't1', (2, 60): 't3^-1*tau2^-1', }