U-tiling: UQC3314
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc321 |
*4444 |
(3,2,2) |
{8,12,4} |
{8.4.8.4.8.4.8.4}{8.4.4.8.4.4.8.... |
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
|
False
|
|
sqc866
|
|
P4/mmm |
123 |
tetragonal |
{8,12,4} |
3 |
(3,2) |
|
G
|
True
|
|
sqc480
|
xbp
|
F-43m |
216 |
cubic |
{6,10,4} |
3 |
(3,2) |
|
D
|
True
|
|
sqc169
|
flu
|
Fm-3m |
225 |
cubic |
{4,8} |
3 |
(2,1) |
Topological data
| Vertex degrees | {8,12,4} |
| 2D vertex symbol | {8.4.8.4.8.4.8.4}{8.4.4.8.4.4.8.4.4.8.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.2:48:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48,13 38 9 5 12 19 44 11 20 27 17 30 33 23 36 37 32 29 43 35 45 41 48 47,3 4 17 18 9 10 23 24 15 16 21 22 27 28 41 42 33 34 47 48 39 40 45 46:8 4 4 4 4,8 12 4> {(1, 42): 't3^-1*tau2^-1*t3^-1', (1, 18): 't1', (1, 43): 't3^-1*tau2^-1*t1', (2, 22): 'tau3^-1', (2, 23): 'tau3^-1', (2, 16): 't2^-1', (2, 17): 't2^-1', (2, 46): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 47): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 40): 'tau1^-1', (2, 41): 'tau1^-1', (1, 32): 't3*tau2*t1^-1', (1, 35): 't3*tau2*t1^-1', (1, 36): 't3^-1'}