U-tiling: UQC1416
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc59 |
*488 |
(1,2,3) |
{4} |
{4.16.8.16} |
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
|
|
sqc2187
|
|
P-4m2 |
115 |
tetragonal |
{4,4} |
8 |
(2,3) |
|
G
|
False
|
|
sqc2177
|
uot
|
I-42m |
121 |
tetragonal |
{4} |
8 |
(1,3) |
|
D
|
False
|
|
sqc2176
|
|
I-4m2 |
119 |
tetragonal |
{4,4} |
8 |
(2,3) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.16.8.16}{16.4.16.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.1:64:17 18 5 6 55 56 25 26 13 14 63 64 21 22 31 32 29 30 49 50 37 38 47 48 57 58 45 46 53 54 61 62,9 3 12 7 22 24 11 15 30 32 33 19 36 23 41 27 44 31 35 39 54 56 43 47 62 64 57 51 60 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 64:4 16 8 4,4 4 4 4 4 4 4 4> {(0, 16): 't2^-1', (0, 25): 'tau3^-1', (0, 48): 'tau1^-1', (0, 63): 't3^-1*tau2^-1*t1', (0, 62): 't3^-1*tau2^-1*t1', (1, 53): 't3^-1', (1, 40): 't3*tau2*t1^-1', (1, 55): 't3^-1', (0, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 29): 't1', (1, 31): 't1', (1, 61): 't3^-1*tau2^-1*t3^-1', (0, 24): 'tau3^-1', (1, 43): 't3*tau2*t1^-1', (0, 17): 't2^-1', (0, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 49): 'tau1^-1', (1, 63): 't3^-1*tau2^-1*t3^-1', }