U-tiling: UQC65
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
|
|
sqc1429
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
8 |
(2,3) |
|
G
|
False
|
|
sqc2052
|
|
I4122 |
98 |
tetragonal |
{4,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc145
|
|
P42/mmc |
131 |
tetragonal |
{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 32 33 23 40 27 44 41 31 35 48 45 39 43 47 57 51 56 61 55 59 64 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 38 39 12 21 30 31 16 25 46 47 33 42 43 54 55 28 50 51 36 62 63 49 44 58 59 53 48 57 61 60 64:8 8 8 8,4 4 4 4 4 4 4 4> {(2, 60): 't1^-1', (0, 59): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 56): 'tau2*t3', (2, 63): 'tau2^-1*t3^-1', (0, 60): 't1^-1*tau3^-1*t2', (2, 59): 't1*tau3*t2^-1', (0, 51): 'tau1^-1', (0, 43): 'tau2', (0, 40): 'tau2*t3', (0, 47): 'tau3^-1', (0, 44): 'tau3^-1*t2', (2, 32): 't1^-1', (2, 33): 't1^-1', (2, 34): 't1^-1', (0, 31): 't3^-1', (2, 23): 't2*tau3^-1', (0, 23): 't2', (2, 19): 't3*tau2', (0, 11): 't1^-1', (2, 9): 't1^-1', (2, 10): 't1^-1', (2, 11): 't1^-1', (0, 4): 't1^-1'}