U-tiling: UQC800
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc622 |
*222222 |
(2,4,3) |
{10,3} |
{4.6.6.6.4.4.6.6.6.4}{6.6.6} |
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
|
|
sqc89
|
|
Pmmm |
47 |
orthorhombic |
{3,10} |
3 |
(2,4) |
|
G
|
False
|
|
sqc1667
|
|
C2/c |
15 |
monoclinic |
{3,10} |
6 |
(2,5) |
|
D
|
True
|
|
sqc1236
|
|
Imma |
74 |
orthorhombic |
{3,8} |
6 |
(2,4) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.6.6.6.4.4.6.6.6.4}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:64:17 4 5 22 23 40 25 12 13 30 31 56 20 21 64 28 29 48 57 36 37 62 63 49 44 45 54 55 52 53 60 61,2 11 36 6 8 10 52 14 16 18 27 60 22 24 26 44 30 32 34 51 38 40 42 59 46 48 50 54 56 58 62 64,9 3 5 7 48 11 13 15 64 25 19 21 23 56 27 29 31 40 49 35 37 39 57 43 45 47 51 53 55 59 61 63:6 6 4 6 4 6,3 10 10 3 3 3> {(0, 16): 't1', (1, 59): 't2^-1*tau3', (2, 47): 't3^-1', (0, 48): 't2*tau3^-1*t1^-1*tau2*t3', (1, 58): 'tau1', (1, 51): 't2*tau3^-1', (2, 56): 'tau1', (2, 39): 't3', (1, 50): 'tau1^-1', (2, 48): 'tau1^-1', (2, 63): 't2^-1', (0, 24): 't1', (0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 43): 't3^-1*tau2^-1', (1, 35): 't3*tau2', (2, 55): 't2', }