U-tiling: UQC365
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc474 |
*222222 |
(2,4,2) |
{8,6} |
{3.8.8.3.3.8.8.3}{3.8.8.3.8.8} |
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
|
False
|
|
sqc60
|
|
P4/mmm |
123 |
tetragonal |
{6,8} |
2 |
(2,3) |
|
G
|
False
|
|
sqc1172
|
|
C2/c |
15 |
monoclinic |
{8,6} |
4 |
(2,5) |
|
D
|
False
|
|
sqc1171
|
|
Imma |
74 |
orthorhombic |
{8,6} |
4 |
(2,4) |
Topological data
| Vertex degrees | {8,6} |
| 2D vertex symbol | {3.8.8.3.3.8.8.3}{3.8.8.3.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.3:56:29 3 5 20 14 43 10 12 27 50 17 19 28 36 24 26 31 33 55 49 38 40 48 56 45 47 52 54,2 31 6 7 9 45 13 14 16 52 20 21 23 38 27 28 30 34 35 37 41 42 44 48 49 51 55 56,36 4 5 34 21 50 11 12 48 28 43 18 19 55 29 25 26 41 32 33 56 39 40 49 46 47 53 54:3 8 3 3 3 8,8 6 8 6> {(2, 28): 't3', (1, 30): 't3*tau2', (0, 28): 't3*tau2', (2, 27): 't1', (2, 20): 't1', (0, 48): 'tau1^-1', (0, 49): 't2^-1*tau3', (2, 48): 't2*tau3^-1*t1^-1*tau2*t3', (0, 55): 'tau1', (0, 42): 't2*tau3^-1', (1, 44): 't2*tau3^-1', (2, 42): 't2', (0, 35): 't3^-1*tau2^-1', (2, 7): 't2', (1, 37): 't3^-1*tau2^-1', (1, 51): 't2^-1*tau3', (2, 34): 't3*tau2*t1^-1*tau3^-1*t2', (2, 35): 't3^-1'}