U-tiling: UQC3907
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc52 |
*2226 |
(2,2,1) |
{4,6} |
{6.6.6.6}{6.6.6.6.6.6} |
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
|
True
|
|
sqc2266
|
|
Pmmm |
47 |
orthorhombic |
{4,6,3} |
8 |
(3,5) |
|
G
|
False
|
|
sqc2808
|
|
I212121 |
24 |
orthorhombic |
{4,6,4} |
8 |
(3,6) |
|
D
|
False
|
|
sqc314
|
|
P222 |
16 |
orthorhombic |
{6,4,4} |
4 |
(3,5) |
Topological data
| Vertex degrees | {4,6,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.1:72:10 3 5 42 8 45 12 14 51 17 54 28 21 23 60 26 63 30 32 69 35 72 46 39 41 44 48 50 53 64 57 59 62 66 68 71,2 39 6 7 9 11 48 15 16 18 20 57 24 25 27 29 66 33 34 36 38 42 43 45 47 51 52 54 56 60 61 63 65 69 70 72,19 4 5 24 25 26 18 28 13 14 33 34 35 22 23 36 31 32 55 40 41 60 61 62 54 64 49 50 69 70 71 58 59 72 67 68:6 6 6 6 6 6,4 6 4 4 6 4 4 4> {(2, 60): 'tau1*t2', (2, 61): 'tau1*t2', (2, 62): 't3*tau2', (2, 63): 't1^-1', (2, 24): 't3', (0, 63): 't1^-1*tau3^-1*t2', (0, 50): 't1', (1, 56): 'tau1*t3^-1', (2, 52): 't2^-1*tau1^-1*t3*tau2', (1, 38): 't2^-1', (2, 17): 't1^-1', (2, 50): 't1', (0, 53): 't1', (2, 25): 't3', (1, 47): 'tau3^-1', (0, 45): 'tau3^-1*t2', (1, 65): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 51): 't2^-1*tau1^-1*t3*tau2', (2, 33): 'tau2^-1*t1', (2, 34): 'tau2^-1*t1', (2, 35): 'tau2^-1*t3^-1'}