U-tiling: UQC3289
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
|
|
sqc11
|
fsc
|
P4/mmm |
123 |
tetragonal |
{6,4} |
2 |
(2,2) |
|
G
|
False
|
|
sqc868
|
|
I4/mmm |
139 |
tetragonal |
{16,4} |
3 |
(2,2) |
|
D
|
True
|
|
sqc359
|
|
I-4m2 |
119 |
tetragonal |
{12,4,4} |
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
<5.2:48:13 6 15 5 19 12 21 11 18 17 24 23 37 30 39 29 43 36 45 35 42 41 48 47,2 4 41 18 8 10 47 24 14 16 23 20 22 26 28 35 42 32 34 48 38 40 44 46,3 8 16 17 12 9 22 23 15 26 30 21 32 36 27 40 41 33 46 47 39 44 48 45:3 12 3 3 3,16 4 4> {(1, 41): 't3^-1', (2, 31): 't3*tau2*t1^-1', (1, 47): 't3^-1*tau2^-1*t3^-1', (0, 18): 't1', (2, 21): 'tau3^-1', (2, 22): 'tau3^-1', (2, 16): 't2^-1', (0, 20): 't1', (0, 42): 't3^-1*tau2^-1*t3^-1', (2, 45): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 46): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 15): 't2^-1', (2, 40): 'tau1^-1', (1, 23): 't1', (0, 44): 't3^-1*tau2^-1*t3^-1', (1, 46): 't3^-1*tau2^-1*t1', (2, 39): 'tau1^-1', (0, 38): 't3^-1', (0, 36): 't3^-1', (2, 35): 't3*tau2*t1^-1'}