U-tiling: UQC1354
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc588 |
*4444 |
(2,4,4) |
{5,3} |
{4.8.16.16.8}{16.4.16} |
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
|
True
|
|
sqc1424
|
|
P-4m2 |
115 |
tetragonal |
{4,3} |
8 |
(2,4) |
|
G
|
False
|
|
sqc2024
|
|
I-4 |
82 |
tetragonal |
{5,3} |
8 |
(2,4) |
|
D
|
False
|
|
sqc2029
|
|
I4/mmm |
139 |
tetragonal |
{5,3} |
8 |
(2,4) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.8.16.16.8}{16.4.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:64:3 50 20 21 54 23 24 11 58 28 29 62 31 32 19 26 30 27 35 42 52 53 46 55 56 43 60 61 63 64 51 59,2 4 13 7 16 10 12 15 18 20 37 23 40 26 28 45 31 48 34 36 39 42 44 47 50 52 61 55 64 58 60 63,9 6 11 5 8 14 13 16 33 22 35 21 24 41 30 43 29 32 38 37 40 46 45 48 57 54 59 53 56 62 61 64:16 4 8 4,5 3 5 3 5 3 5 3> {(0, 23): 't2^-1', (0, 61): 't3^-1*tau2^-1*t1', (2, 24): 't1*tau2^-1*t3^-1', (0, 51): 't3^-1', (0, 60): 't3^-1*tau2^-1*t3^-1', (1, 44): 't3*tau2*t1^-1', (0, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 27): 't1', (0, 62): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 22): 't2^-1', (0, 52): 't3^-1', (1, 47): 't3*tau2*t1^-1', (0, 55): 'tau1^-1', (0, 31): 'tau3^-1', (0, 54): 'tau1^-1', (0, 12): 't1^-1', (0, 57): 't3^-1*tau2^-1*t1', (0, 14): 'tau3', (0, 59): 't3^-1*tau2^-1*t3^-1', (2, 26): 't1*tau2^-1*t3^-1', }