U-tiling: UQC690
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc574 |
*222222 |
(2,5,3) |
{12,4} |
{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc40
|
|
Pmmm |
47 |
orthorhombic |
{10,4} |
2 |
(2,5) |
|
G
|
True
|
|
sqc865
|
|
C2/c |
15 |
monoclinic |
{8,4} |
4 |
(2,4) |
|
D
|
True
|
|
sqc32
|
|
Cmmm |
65 |
orthorhombic |
{8,4} |
2 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.2:64:33 3 36 37 46 47 40 49 11 52 53 62 63 56 57 19 60 61 54 55 64 41 27 44 45 38 39 48 35 43 51 59,2 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 10 11 5 7 24 25 13 15 32 26 27 21 23 29 31 57 50 51 37 39 64 49 58 59 45 47 56 53 55 61 63:4 4 4 4 4 4 4 4,4 12 4 12> {(0, 51): 't2*tau3^-1', (0, 62): 't2^-1', (2, 49): 'tau1^-1', (0, 22): 't2^-1', (0, 12): 'tau3*t2^-1', (0, 5): 't3', (0, 59): 't2^-1*tau3', (0, 60): 't2^-1*tau3', (0, 48): 't2*tau3^-1', (0, 38): 't3', (2, 57): 'tau1', (2, 50): 'tau1^-1', (2, 0): 't1^-1', (0, 35): 't3*tau2', (0, 56): 't2^-1*tau3', (0, 6): 't3', (2, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 58): 'tau1', (0, 53): 't2', (0, 43): 't3^-1*tau2^-1', (0, 32): 't3*tau2', (2, 8): 't1^-1', (0, 36): 't3*tau2', (0, 61): 't2^-1', (0, 28): 'tau2*t3', (0, 40): 't3^-1*tau2^-1', (2, 48): 't2*tau3^-1*t1^-1*tau2*t3', (0, 37): 't3', }