U-tiling: UQC1209
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1046 |
*222222 |
(2,5,3) |
{5,4} |
{4.8.6.8.4}{8.8.6.6} |
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
|
|
sqc280
|
|
Pmmm |
47 |
orthorhombic |
{4,5} |
4 |
(2,5) |
|
G
|
False
|
|
sqc2722
|
|
C2/c |
15 |
monoclinic |
{5,4} |
8 |
(2,6) |
|
D
|
False
|
|
sqc2749
|
|
Imma |
74 |
orthorhombic |
{5,4} |
8 |
(2,5) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.8.6.8.4}{8.8.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.2:72:37 47 48 6 7 44 18 55 65 66 15 16 62 64 56 57 24 25 71 36 46 38 39 33 34 53 42 43 63 51 52 72 60 61 69 70,2 4 23 8 9 11 13 32 17 18 20 22 26 27 29 31 35 36 38 40 68 44 45 47 49 59 53 54 56 58 62 63 65 67 71 72,19 3 5 7 26 27 28 12 14 16 35 36 21 23 25 30 32 34 64 39 41 43 71 72 55 48 50 52 62 63 57 59 61 66 68 70:4 8 6 4 8 6,5 4 5 4 5 4 5 4> {(0, 62): 'tau1^-1', (0, 55): 't2', (0, 45): 't3^-1*tau2^-1', (2, 54): 't2*tau3^-1*t1^-1*tau2*t3', (0, 38): 't3', (0, 63): 't2^-1*tau3', (0, 56): 't2', (0, 46): 't3^-1', (2, 0): 't1^-1', (0, 53): 'tau1^-1', (0, 10): 't2', (1, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 47): 't3^-1', (0, 36): 't3*tau2', (1, 31): 't1', (1, 22): 't1', (1, 58): 't2*tau3^-1*t1^-1*tau2*t3', (0, 11): 't2', (0, 54): 't2*tau3^-1', (2, 9): 't1^-1', (0, 37): 't3', }