U-tiling: UQC3290
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc304 |
*4444 |
(3,3,2) |
{16,4,4} |
{3.3.12.12.3.3.12.12.3.3.12.12.3... |
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
|
|
sqc43
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
2 |
(2,3) |
|
G
|
False
|
|
sqc868
|
|
I4/mmm |
139 |
tetragonal |
{16,4} |
3 |
(2,2) |
|
D
|
False
|
|
sqc721
|
|
I-4m2 |
119 |
tetragonal |
{16,4,4} |
3 |
(3,3) |
Topological data
| Vertex degrees | {16,4,4} |
| 2D vertex symbol | {3.3.12.12.3.3.12.12.3.3.12.12.3.3.12.12}{12.12.12.12}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:48:7 6 9 5 12 11 25 18 27 17 31 24 33 23 30 29 36 35 43 42 45 41 48 47,2 4 17 12 8 10 23 14 16 30 20 22 36 26 28 41 32 34 47 38 40 48 44 46,3 14 40 41 18 9 20 46 47 24 15 22 23 21 27 38 34 35 42 33 44 48 39 45:3 12 3 3 3,16 4 4> {(0, 30): 't3*tau2*t1^-1', (1, 40): 't3^-1', (2, 13): 't2^-1', (1, 46): 't3^-1*tau2^-1*t3^-1', (2, 23): 'tau3^-1', (2, 17): 't2^-1', (2, 19): 'tau3^-1', (2, 45): 't3^-1*tau2^-1*t1', (2, 46): 't3^-1*tau2^-1*t1', (2, 47): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 41): 'tau1^-1', (2, 43): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 37): 'tau1^-1', (0, 32): 't3*tau2*t1^-1', (1, 22): 't1', (1, 35): 't3*tau2*t1^-1'}