U-tiling: UQC453
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) |
|
P
|
True
|
|
sqc294
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
5 |
(2,3) |
|
G
|
False
|
|
sqc724
|
|
I-4m2 |
119 |
tetragonal |
{3,12} |
5 |
(2,3) |
|
D
|
True
|
|
sqc368
|
|
I-4m2 |
119 |
tetragonal |
{3,8} |
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
<5.2:48:3 8 16 17 12 9 22 23 15 26 30 21 32 36 27 40 41 33 46 47 39 44 48 45,2 4 41 18 8 10 47 24 14 16 23 20 22 26 28 35 42 32 34 48 38 40 44 46,13 6 15 5 19 12 21 11 18 17 24 23 37 30 39 29 43 36 45 35 42 41 48 47:16 4 4,3 12 3 3 3> {(0, 39): 'tau1^-1', (0, 16): 't2^-1', (2, 44): 't3^-1*tau2^-1*t3^-1', (2, 20): 't1', (0, 31): 't3*tau2*t1^-1', (0, 40): 'tau1^-1', (0, 21): 'tau3^-1', (1, 23): 't1', (1, 46): 't3^-1*tau2^-1*t1', (2, 18): 't1', (1, 47): 't3^-1*tau2^-1*t3^-1', (2, 38): 't3^-1', (0, 45): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 22): 'tau3^-1', (0, 35): 't3*tau2*t1^-1', (1, 41): 't3^-1', (2, 36): 't3^-1', (0, 15): 't2^-1', (0, 46): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 42): 't3^-1*tau2^-1*t3^-1', }