U-tiling: UQC412
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc482 |
*222222 |
(2,4,2) |
{8,3} |
{6.8.8.6.6.8.8.6}{6.8.8} |
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
|
|
sqc27
|
|
Pmmm |
47 |
orthorhombic |
{6,3} |
3 |
(2,3) |
|
G
|
False
|
|
sqc1282
|
|
I4122 |
98 |
tetragonal |
{3,8} |
6 |
(2,3) |
|
D
|
False
|
|
sqc51
|
|
P222 |
16 |
orthorhombic |
{8,3} |
3 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {6.8.8.6.6.8.8.6}{6.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:56:15 4 5 34 35 22 11 12 41 42 18 19 48 49 25 26 55 56 43 32 33 50 39 40 46 47 53 54,2 10 6 7 9 13 14 16 24 20 21 23 27 28 30 38 34 35 37 41 42 44 52 48 49 51 55 56,8 3 5 13 21 10 12 28 22 17 19 27 24 26 36 31 33 41 49 38 40 56 50 45 47 55 52 54:8 6 8 6,3 8 3 3 8 3> {(0, 48): 'tau1*t3^-1', (2, 27): 'tau2^-1*t1', (2, 26): 'tau2^-1*t3^-1', (2, 47): 't3*tau2', (2, 20): 't3', (0, 40): 't1', (2, 12): 't1^-1', (0, 55): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 37): 'tau3^-1*t2', (0, 13): 'tau3', (2, 48): 'tau1*t2', (0, 35): 't1', (2, 42): 't2^-1*tau3*t1', (1, 51): 't1^-1*tau3^-1*t2', (0, 34): 't2^-1', (2, 35): 'tau3^-1*t2', (2, 55): 'tau2^-1*t3^-1*tau1*t2', }