U-tiling: UQC4609
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1492 |
*222222 |
(4,5,2) |
{4,6,3,4} |
{5.5.5.5}{5.10.5.5.10.5}{5.10.10... |
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
|
|
sqc3691
|
|
C2/c |
15 |
monoclinic |
{4,6,3,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc3538
|
|
Imma |
74 |
orthorhombic |
{4,6,3,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,6,3,4} |
| 2D vertex symbol | {5.5.5.5}{5.10.5.5.10.5}{5.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.3:80:41 3 5 7 9 20 61 13 15 17 19 71 23 25 27 29 40 51 33 35 37 39 43 45 47 49 70 53 55 57 59 80 63 65 67 69 73 75 77 79,2 4 45 26 8 10 12 14 65 36 18 20 22 24 75 28 30 32 34 55 38 40 42 44 76 48 50 52 54 66 58 60 62 64 68 70 72 74 78 80,51 42 43 6 7 48 49 30 71 62 63 16 17 68 69 40 61 72 73 26 27 78 79 41 52 53 36 37 58 59 46 47 80 56 57 70 66 67 76 77:5 10 5 5 5 10,4 6 3 4 4 6 3 4 3 3> {(2, 60): 't2', (0, 59): 'tau1^-1', (2, 57): 't3^-1*tau2^-1', (2, 58): 't3^-1*tau2^-1', (2, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 50): 't3^-1*tau2^-1', (0, 49): 'tau1', (2, 48): 't3*tau2', (2, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 50): 't3^-1', (0, 40): 't3*tau2', (2, 47): 't3*tau2', (2, 40): 't3', (0, 20): 'tau3^-1*t2', (2, 39): 't1', (2, 28): 'tau3^-1*t2', (2, 29): 't1', (0, 60): 't2*tau3^-1', (2, 27): 'tau3^-1*t2', (2, 17): 'tau3*t2^-1', (2, 18): 'tau3*t2^-1', (1, 74): 't2^-1*tau3', (2, 10): 't2', (1, 64): 't2*tau3^-1', (1, 54): 't3^-1*tau2^-1', (1, 44): 't3*tau2'}