U-tiling: UQC3546
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc751 |
*222222 |
(3,5,2) |
{4,8,4} |
{4.4.4.4}{4.8.8.4.4.8.8.4}{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
|
|
sqc61
|
fsd
|
P4/mmm |
123 |
tetragonal |
{4,6} |
3 |
(2,3) |
|
G
|
False
|
|
sqc1633
|
|
C2/c |
15 |
monoclinic |
{4,8,4} |
6 |
(3,5) |
|
D
|
True
|
|
sqc1239
|
|
Imma |
74 |
orthorhombic |
{4,6,4} |
6 |
(3,5) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.3:64:33 3 36 37 7 24 49 11 52 53 15 32 57 19 60 61 23 41 27 44 45 31 35 39 64 43 47 56 51 55 59 63,2 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 64,41 34 35 5 22 23 16 57 50 51 13 30 31 49 58 59 21 32 33 42 43 29 37 62 63 56 45 54 55 64 53 61:4 8 4 8 4 4,4 8 4 4 8 4> {(0, 59): 't2^-1*tau3', (0, 56): 't2^-1*tau3', (2, 63): 'tau1', (2, 56): 't2^-1', (0, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 60): 't2^-1*tau3', (0, 51): 't2*tau3^-1', (0, 48): 't2*tau3^-1', (2, 55): 'tau1^-1', (2, 48): 't2', (0, 55): 't2*tau3^-1*t1^-1*tau2*t3', (0, 52): 't2*tau3^-1', (0, 43): 't3^-1*tau2^-1', (0, 40): 't3^-1*tau2^-1', (2, 40): 't3^-1', (0, 44): 't3^-1*tau2^-1', (0, 35): 't3*tau2', (0, 32): 't3*tau2', (2, 32): 't3', (0, 36): 't3*tau2', (0, 31): 't1', (0, 23): 't1'}