U-tiling: UQC869
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc646 |
*222222 |
(2,4,3) |
{6,4} |
{4.6.6.6.6.4}{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
|
|
sqc65
|
|
Pmmm |
47 |
orthorhombic |
{4,5} |
3 |
(2,3) |
|
G
|
False
|
|
sqc1850
|
|
I212121 |
24 |
orthorhombic |
{6,4} |
6 |
(2,5) |
|
D
|
False
|
|
sqc174
|
|
P222 |
16 |
orthorhombic |
{4,6} |
3 |
(2,4) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.6.6.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:64:17 34 35 6 7 40 25 42 43 14 15 48 50 51 22 23 56 58 59 30 31 64 49 38 39 57 46 47 54 55 62 63,2 4 8 14 23 10 12 16 31 18 20 24 30 26 28 32 34 36 40 46 55 42 44 48 63 50 52 56 62 58 60 64,9 3 5 7 16 11 13 15 25 19 21 23 32 27 29 31 41 35 37 39 48 43 45 47 57 51 53 55 64 59 61 63:4 6 6 4 6 6,6 4 6 6 4 6> {(1, 54): 'tau1*t2', (0, 39): 't2^-1', (1, 13): 't1^-1', (1, 22): 't3', (0, 41): 't1', (0, 63): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 30): 'tau2^-1*t1', (2, 56): 't1^-1*tau3^-1*t2', (2, 39): 't2^-1*tau3', (0, 42): 't1', (0, 55): 'tau1*t3^-1', (1, 61): 'tau2^-1*t3^-1', (2, 63): 't1^-1*tau3^-1*t2', (0, 56): 't1^-1', (0, 47): 'tau3^-1', (1, 29): 'tau2^-1*t3^-1', (2, 40): 'tau3^-1*t2', (1, 62): 'tau2^-1*t3^-1*tau1*t2', }