U-tiling: UQC1270
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1056 |
*222222 |
(2,5,3) |
{6,6} |
{4.8.3.3.8.4}{8.8.3.8.8.3} |
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
|
|
sqc266
|
|
Pmmm |
47 |
orthorhombic |
{6,6} |
3 |
(2,5) |
|
G
|
False
|
|
sqc2755
|
|
C2/c |
15 |
monoclinic |
{6,6} |
6 |
(2,6) |
|
D
|
False
|
|
sqc2771
|
|
Imma |
74 |
orthorhombic |
{6,6} |
6 |
(2,5) |
Topological data
| Vertex degrees | {6,6} |
| 2D vertex symbol | {4.8.3.3.8.4}{8.8.3.8.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:72:19 4 5 51 43 44 27 28 13 14 69 61 62 36 22 23 60 70 71 31 32 42 52 53 64 40 41 72 55 49 50 63 58 59 67 68,2 7 22 6 9 11 16 31 15 18 20 25 24 27 29 34 33 36 38 43 67 42 45 47 52 58 51 54 56 61 60 63 65 70 69 72,10 3 5 42 8 18 12 14 60 17 28 21 23 69 26 36 30 32 51 35 55 39 41 44 63 64 48 50 53 72 57 59 62 66 68 71:3 8 4 3 8 4 3 3,6 6 6 6 6 6> {(1, 66): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 21): 't1', (2, 59): 't2*tau3^-1', (1, 30): 't1', (2, 53): 'tau1^-1', (1, 57): 't2*tau3^-1*t1^-1*tau2*t3', (0, 41): 't3', (2, 54): 'tau1^-1', (0, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 27): 't1', (0, 50): 't3^-1', (2, 50): 't3^-1*tau2^-1', (0, 54): 't2*tau3^-1*t1^-1*tau2*t3', (0, 18): 't1', (2, 63): 'tau1', (2, 41): 't3*tau2', (2, 62): 'tau1^-1', (0, 14): 't2', (0, 59): 't2', (2, 23): 'tau3^-1*t2', }