U-tiling: UQC3547
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
|
|
sqc62
|
|
Pmmm |
47 |
orthorhombic |
{4,4,6} |
3 |
(3,5) |
|
G
|
False
|
|
sqc1849
|
|
C2/c |
15 |
monoclinic |
{4,8,4} |
6 |
(3,5) |
|
D
|
False
|
|
sqc1867
|
|
Imma |
74 |
orthorhombic |
{4,8,4} |
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
<12.1:64:9 3 12 13 7 24 11 15 32 25 19 28 29 23 27 31 49 35 52 53 39 64 57 43 60 61 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 64,17 34 35 5 46 47 40 25 50 51 13 62 63 56 58 59 21 54 55 64 42 43 29 38 39 48 57 37 49 45 53 61:4 8 4 4 8 4,4 8 4 4 8 4> {(0, 59): 'tau1', (0, 56): 'tau1', (2, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 57): 't2^-1*tau3', (0, 60): 'tau1', (2, 61): 't2^-1', (0, 51): 'tau1^-1', (0, 48): 'tau1^-1', (2, 48): 't2*tau3^-1*t1^-1*tau2*t3', (2, 62): 't2^-1', (0, 52): 'tau1^-1', (2, 41): 't3^-1*tau2^-1', (2, 42): 't3^-1*tau2^-1', (2, 37): 't3', (2, 38): 't3', (2, 33): 't3*tau2', (2, 24): 't1', (2, 21): 't2^-1', (2, 22): 't2^-1', (2, 16): 't1', (2, 18): 'tau3^-1*t2', (2, 9): 'tau3*t2^-1', (2, 10): 'tau3*t2^-1', (2, 5): 't3', (2, 6): 't3', (2, 2): 'tau2^-1*t3^-1'}