U-tiling: UQC64
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
|
False
|
|
sqc5
|
cds
|
P42/mmc |
131 |
tetragonal |
{4} |
2 |
(1,2) |
|
G
|
False
|
|
sqc2045
|
|
Fddd |
70 |
orthorhombic |
{4,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc187
|
|
Cmma |
67 |
orthorhombic |
{4,4} |
4 |
(2,3) |
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
<1.1:64:9 3 8 13 7 11 16 15 25 19 24 29 23 27 32 31 49 35 44 53 39 48 57 43 61 47 51 60 55 64 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 64,37 34 35 20 45 42 43 24 53 50 51 28 61 58 59 32 41 46 47 33 38 39 57 62 63 49 54 55 48 44 64 60:8 8 8 8,4 4 4 4 4 4 4 4> {(0, 59): 't2^-1*tau1^-1*t3', (0, 56): 't2^-1', (2, 63): 'tau3*t1*tau2^-1', (0, 63): 't2*tau1*t3^-1', (0, 60): 't2', (2, 59): 'tau3^-1*t1^-1*tau2', (0, 48): 't3^-1', (0, 52): 't3', (2, 44): 't2^-1', (0, 43): 'tau1^-1', (2, 40): 't2', (0, 47): 'tau1', (2, 36): 't3^-1', (2, 32): 't3', (2, 57): 'tau3^-1', (2, 29): 'tau2', (2, 30): 'tau2', (2, 31): 't1', (2, 25): 'tau3^-1', (2, 26): 'tau3^-1', (2, 27): 't1', (2, 14): 'tau3', (2, 9): 'tau2^-1', (2, 10): 'tau2^-1'}