U-tiling: UQC4529
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1478 |
*222222 |
(4,5,2) |
{6,3,4,4} |
{3.14.3.3.14.3}{3.14.14}{14.14.1... |
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) |
|
G
|
False
|
|
sqc3644
|
|
I212121 |
24 |
orthorhombic |
{6,3,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc450
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,6} |
5 |
(4,5) |
Topological data
| Vertex degrees | {6,3,4,4} |
| 2D vertex symbol | {3.14.3.3.14.3}{3.14.14}{14.14.14.14}{14.14.14.14} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.1:80:11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 51 43 45 47 49 60 53 55 57 59 71 63 65 67 69 80 73 75 77 79,2 13 44 6 8 10 12 54 16 18 20 22 33 64 26 28 30 32 74 36 38 40 42 53 46 48 50 52 56 58 60 62 73 66 68 70 72 76 78 80,21 4 5 16 17 48 49 30 31 14 15 58 59 40 24 25 36 37 68 69 34 35 78 79 61 44 45 56 57 70 71 54 55 80 64 65 76 77 74 75:3 14 3 14 3 3,6 3 4 4 6 4 3 4 3 3> {(2, 56): 'tau3^-1*t2', (2, 57): 'tau3^-1', (0, 60): 't2^-1*tau3*t1', (2, 59): 't2^-1*tau1^-1*t3*tau2', (0, 50): 'tau3^-1*t2', (2, 55): 'tau3^-1*t2', (2, 48): 't2^-1', (2, 49): 't2^-1*tau1^-1', (2, 50): 't1', (2, 47): 't2^-1', (2, 37): 't3*tau1^-1*t2^-1*tau3*t1', (2, 38): 't3*tau1^-1*t2^-1*tau3*t1', (2, 39): 'tau2^-1*t1', (0, 39): 'tau2^-1*t3^-1', (2, 28): 't3*tau1^-1', (2, 29): 't3', (2, 58): 'tau3^-1', (2, 27): 't3*tau1^-1', (0, 19): 't1^-1', (1, 72): 't1^-1*tau3^-1*t2', (1, 53): 't1', (1, 52): 'tau3^-1*t2', (2, 76): 't1^-1*tau3^-1*t2', (0, 79): 'tau2^-1*t3^-1', (2, 75): 't1^-1*tau3^-1*t2'}