U-tiling: UQC316
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
|
|
sqc931
|
|
Fmmm |
69 |
orthorhombic |
{3,6} |
6 |
(2,3) |
|
G
|
False
|
|
sqc5193
|
|
Fddd |
70 |
orthorhombic |
{3,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc27
|
|
Pmmm |
47 |
orthorhombic |
{6,3} |
3 |
(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
<7.2:96:49 4 5 30 61 10 11 36 73 16 17 42 85 22 23 48 67 28 29 55 34 35 91 40 41 79 46 47 52 53 72 58 59 66 64 65 70 71 76 77 96 82 83 90 88 89 94 95,2 57 6 17 8 69 12 23 14 81 18 20 93 24 26 63 30 41 32 51 36 47 38 87 42 44 75 48 50 54 77 56 60 83 62 66 89 68 72 95 74 78 80 84 86 90 92 96,55 3 5 12 67 9 11 79 15 17 24 91 21 23 61 27 29 36 49 33 35 85 39 41 48 73 45 47 51 53 66 57 59 72 63 65 69 71 75 77 90 81 83 96 87 89 93 95:8 4 8 4 8 8 4 4,3 6 3 3 3 3 6 3 3 3 6 6> {(1, 88): 't2^-1', (2, 53): 'tau1', (0, 41): 't1', (0, 18): 'tau3', (0, 95): 'tau3*t1*tau2^-1', (1, 68): 't2^-1', (0, 12): 'tau2^-1', (2, 54): 't3^-1', (1, 56): 't3^-1', (1, 76): 't3^-1', (0, 42): 'tau2', (1, 82): 't3', (2, 89): 't2^-1*tau1^-1*t3', (2, 95): 't2*tau1*t3^-1', (1, 94): 't2', (0, 89): 'tau3^-1*t1^-1*tau2', (1, 50): 't3', (0, 47): 't1', (1, 62): 't2', (0, 36): 'tau3^-1', (2, 59): 'tau1^-1', (2, 6): 't2', (2, 48): 't3', (2, 60): 't2', }