U-tiling: UQC1609
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1266 |
*222222 |
(2,6,4) |
{6,4} |
{4.4.8.8.4.4}{8.4.4.8} |
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
|
|
sqc1743
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
8 |
(2,4) |
|
G
|
False
|
|
sqc3188
|
|
I212121 |
24 |
orthorhombic |
{4,6} |
8 |
(2,6) |
|
D
|
False
|
|
sqc463
|
|
P222 |
16 |
orthorhombic |
{6,4} |
4 |
(2,6) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.8.8.4.4}{8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<48.1:80:21 42 43 5 16 17 28 29 50 31 52 53 15 38 39 60 62 63 25 36 37 70 72 73 35 80 61 45 56 57 68 69 71 55 78 79 65 76 77 75,2 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 80,11 3 14 15 7 9 20 13 17 19 31 23 34 35 27 29 40 33 37 39 51 43 54 55 47 49 60 53 57 59 71 63 74 75 67 69 80 73 77 79:4 8 4 4 4 4 8 4,4 6 4 6 4 6 4 6> {(0, 29): 't3*tau1^-1', (2, 64): 't2^-1*tau3*t1', (2, 53): 'tau3^-1*t2', (0, 57): 't2^-1*tau1^-1*t3*tau2', (0, 12): 't1^-1', (0, 59): 'tau3^-1', (2, 54): 'tau3^-1*t2', (0, 38): 'tau2^-1*t1', (0, 75): 'tau2^-1*t3^-1', (2, 50): 'tau3^-1*t2', (0, 27): 't3', (0, 49): 't2^-1', (0, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 16): 't1^-1', (0, 48): 't2^-1*tau1^-1', (0, 76): 'tau2^-1*t3^-1', (2, 63): 't2^-1*tau3*t1', (0, 47): 't2^-1*tau1^-1', (0, 36): 'tau2^-1*t3^-1', (2, 59): 'tau3^-1*t2', (0, 28): 't3', (2, 79): 't1^-1*tau3^-1*t2', (0, 50): 't1', (0, 11): 't1^-1', (0, 25): 't3*tau2', (0, 15): 't1^-1', (0, 37): 'tau2^-1*t1', (0, 58): 't2^-1*tau1^-1*t3*tau2', (2, 60): 't2^-1*tau3*t1', }