U-tiling: UQC4543
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1480 |
*222222 |
(4,5,2) |
{3,6,4,4} |
{6.7.6}{6.7.7.6.7.7}{7.7.7.7}{7.... |
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
|
|
sqc3626
|
|
I212121 |
24 |
orthorhombic |
{3,6,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc14563
|
|
Pmmm |
47 |
orthorhombic |
{4,3,6,4} |
5 |
(4,5) |
Topological data
| Vertex degrees | {3,6,4,4} |
| 2D vertex symbol | {6.7.6}{6.7.7.6.7.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.1:80:11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 51 43 45 47 49 70 53 55 57 59 80 71 63 65 67 69 73 75 77 79,2 43 24 6 8 10 12 53 34 16 18 20 22 63 26 28 30 32 73 36 38 40 42 64 46 48 50 52 74 56 58 60 62 66 68 70 72 76 78 80,21 4 5 26 27 18 19 50 31 14 15 36 37 60 24 25 38 39 70 34 35 80 61 44 45 66 67 58 59 71 54 55 76 77 64 65 78 79 74 75:6 7 7 6 7 7,3 6 4 4 3 6 4 3 4 3> {(0, 59): 't1', (2, 56): 't2^-1*tau1^-1*t3*tau2', (0, 60): 't2^-1*tau3*t1', (2, 59): 't1', (0, 50): 'tau3^-1*t2', (2, 55): 't2^-1*tau1^-1*t3*tau2', (2, 50): 't1', (2, 45): 't2^-1*tau1^-1', (2, 46): 't2^-1*tau1^-1', (2, 36): 'tau2^-1*t1', (2, 37): 'tau2^-1*t3^-1', (2, 38): 'tau2^-1*t3^-1', (2, 35): 'tau2^-1*t1', (2, 25): 't3', (2, 26): 't3', (2, 17): 't1^-1', (2, 18): 't1^-1', (1, 73): 't1^-1', (1, 72): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 62): 'tau1*t3^-1', (1, 42): 't2^-1', (2, 77): 'tau2^-1*t3^-1', (2, 78): 'tau2^-1*t3^-1', (1, 12): 'tau3'}