U-tiling: UQC66
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc12 |
*248 |
(1,1,1) |
{4} |
{8.8.8.8} |
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
|
|
sqc74
|
tfo
|
Fmmm |
69 |
orthorhombic |
{3,4} |
4 |
(2,3) |
|
G
|
False
|
|
sqc2076
|
|
Fddd |
70 |
orthorhombic |
{4,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc5
|
cds
|
P42/mmc |
131 |
tetragonal |
{4} |
2 |
(1,2) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.3:64:33 3 40 41 7 48 49 11 56 57 15 64 45 19 44 37 23 36 61 27 60 53 31 52 35 39 43 47 51 55 59 63,2 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 6 7 12 21 16 25 14 15 29 22 23 28 32 30 31 45 42 43 52 41 46 47 56 60 64 61 58 59 57 62 63:8 8 8 8,4 4 4 4 4 4 4 4> {(2, 60): 'tau3*t1*tau2^-1', (2, 61): 't2*tau1*t3^-1', (2, 62): 't2*tau1*t3^-1', (2, 63): 't2', (2, 56): 'tau3^-1*t1^-1*tau2', (2, 57): 't2^-1*tau1^-1*t3', (2, 58): 't2^-1*tau1^-1*t3', (2, 59): 't2^-1', (2, 55): 't3', (2, 51): 't3^-1', (2, 45): 'tau1', (2, 46): 'tau1', (2, 41): 'tau1^-1', (2, 42): 'tau1^-1', (0, 39): 't3^-1', (2, 28): 't1', (0, 24): 'tau3^-1', (2, 24): 't1', (0, 28): 'tau2', (0, 19): 't2^-1', (0, 23): 't3^-1', (0, 8): 'tau2^-1', (0, 12): 'tau3', (0, 7): 't2'}