U-tiling: UQC454
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc224 |
*4444 |
(2,3,3) |
{3,12} |
{4.16.16}{16.4.16.16.4.16.16.4.1... |
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) |
|
G
|
False
|
|
sqc724
|
|
I-4m2 |
119 |
tetragonal |
{3,12} |
5 |
(2,3) |
|
D
|
False
|
|
sqc725
|
|
I4/mmm |
139 |
tetragonal |
{3,12} |
5 |
(2,3) |
Topological data
| Vertex degrees | {3,12} |
| 2D vertex symbol | {4.16.16}{16.4.16.16.4.16.16.4.16.16.4.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:48:3 14 40 41 18 9 20 46 47 24 15 22 23 21 27 38 34 35 42 33 44 48 39 45,2 4 17 12 8 10 23 14 16 30 20 22 36 26 28 41 32 34 47 38 40 48 44 46,7 6 9 5 12 11 25 18 27 17 31 24 33 23 30 29 36 35 43 42 45 41 48 47:16 4 4,3 12 3 3 3> {(2, 32): 't3*tau2*t1^-1', (0, 19): 'tau3^-1', (0, 41): 'tau1^-1', (0, 43): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 46): 't3^-1*tau2^-1*t3^-1', (0, 13): 't2^-1', (0, 45): 't3^-1*tau2^-1*t1', (0, 23): 'tau3^-1', (1, 40): 't3^-1', (1, 35): 't3*tau2*t1^-1', (0, 47): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 30): 't3*tau2*t1^-1', (0, 37): 'tau1^-1', (0, 46): 't3^-1*tau2^-1*t1', (1, 22): 't1', (0, 17): 't2^-1', }