U-tiling: UQC4421
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1430 |
*222222 |
(4,6,2) |
{4,4,4,4} |
{4.8.8.4}{8.8.8.8}{8.8.8.8}{8.8.... |
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
|
True
|
|
sqc2285
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,3} |
10 |
(4,6) |
|
G
|
False
|
|
sqc3628
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc439
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
5 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {4.8.8.4}{8.8.8.8}{8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.1:80:11 42 43 5 7 9 50 52 53 15 17 19 60 31 62 63 25 27 29 70 72 73 35 37 39 80 51 45 47 49 55 57 59 71 65 67 69 75 77 79,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80,21 3 24 25 46 47 18 19 30 31 13 34 35 56 57 40 23 66 67 38 39 33 76 77 61 43 64 65 58 59 70 71 53 74 75 80 63 78 79 73:4 8 8 4 8 8,4 4 4 4 4 4 4 4 4 4> {(0, 59): 'tau3^-1', (0, 62): 'tau1*t3^-1', (0, 60): 't2^-1*tau3*t1', (0, 61): 'tau1*t3^-1', (0, 50): 'tau3^-1*t2', (2, 53): 't1', (2, 54): 't1', (2, 55): 't1', (2, 49): 't2^-1*tau1^-1', (2, 50): 't1', (0, 41): 't2^-1', (2, 37): 'tau2^-1*t3^-1', (0, 32): 't3*tau1^-1*t2^-1*tau3*t1', (0, 39): 't3*tau1^-1*t2^-1*tau3*t1', (2, 29): 't3', (0, 31): 't3*tau1^-1*t2^-1*tau3*t1', (2, 38): 'tau2^-1*t3^-1', (0, 29): 't3*tau1^-1', (2, 59): 't2^-1*tau1^-1*t3*tau2', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 18): 't1^-1', (2, 19): 't1^-1*tau2', (0, 11): 'tau3', (0, 12): 'tau3', (0, 2): 't2', (0, 49): 't2^-1', (2, 77): 'tau2^-1*t3^-1', (2, 78): 'tau2^-1*t3^-1'}