U-tiling: UQC319
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc291 |
*22222 |
(2,3,2) |
{3,6} |
{8.4.8}{8.8.4.8.8.4} |
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
|
|
sqc27
|
|
Pmmm |
47 |
orthorhombic |
{6,3} |
3 |
(2,3) |
|
G
|
False
|
|
sqc5175
|
|
Fddd |
70 |
orthorhombic |
{3,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc954
|
|
Cmma |
67 |
orthorhombic |
{3,6} |
6 |
(2,3) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {8.4.8}{8.8.4.8.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.5:96:13 4 5 60 19 10 11 72 16 17 84 22 23 96 37 28 29 66 43 34 35 54 40 41 90 46 47 78 73 52 53 79 58 59 85 64 65 91 70 71 76 77 82 83 88 89 94 95,2 9 6 29 8 12 35 14 21 18 41 20 24 47 26 33 30 32 36 38 45 42 44 48 50 63 54 71 56 69 60 65 62 66 68 72 74 87 78 95 80 93 84 89 86 90 92 96,7 3 5 54 9 11 66 19 15 17 78 21 23 90 31 27 29 72 33 35 60 43 39 41 96 45 47 84 61 51 53 67 57 59 63 65 69 71 85 75 77 91 81 83 87 89 93 95:8 4 8 4 8 8 4 4,3 6 6 3 6 6 3 3 3 3 3 3> {(0, 29): 't2^-1', (2, 47): 'tau2', (1, 46): 't1', (2, 72): 't3^-1*tau1*t2', (0, 59): 't3^-1', (0, 48): 't3', (1, 56): 'tau1^-1', (1, 86): 't2^-1*tau1^-1*t3', (1, 82): 'tau2^-1*t1*tau3', (2, 17): 'tau2^-1', (1, 94): 'tau3*t1*tau2^-1', (0, 60): 't2', (2, 54): 'tau1^-1', (2, 78): 't3*tau1^-1*t2^-1', (0, 53): 't3', (1, 50): 'tau1', (1, 40): 't1', (2, 41): 'tau3^-1', (2, 23): 'tau3', (0, 90): 't2', (0, 11): 't2', (0, 54): 't3^-1', (1, 92): 't2*tau1*t3^-1', (2, 60): 'tau1^-1', }