U-tiling: UQC3270
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc255 |
*4444 |
(3,3,2) |
{12,8,4} |
{4.5.5.4.5.5.4.5.5.4.5.5}{5.5.5.... |
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
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
False
|
|
sqc723
|
|
I-4m2 |
119 |
tetragonal |
{12,8,4} |
3 |
(3,3) |
|
D
|
True
|
|
sqc355
|
|
I-4m2 |
119 |
tetragonal |
{8,8,4} |
3 |
(3,3) |
Topological data
| Vertex degrees | {12,8,4} |
| 2D vertex symbol | {4.5.5.4.5.5.4.5.5.4.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:48:13 14 4 6 19 20 10 12 16 18 22 24 37 38 28 30 43 44 34 36 40 42 46 48,7 3 5 18 9 11 24 25 15 17 31 21 23 27 29 42 33 35 48 43 39 41 45 47,2 15 16 41 42 8 21 22 47 48 14 23 24 20 26 39 40 35 36 32 45 46 38 44:4 5 5 5 5,12 8 4> {(1, 41): 't3^-1', (0, 30): 't3*tau2*t3', (2, 45): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 20): 'tau3^-1', (2, 21): 'tau3^-1', (1, 30): 't3*tau2*t1^-1', (2, 14): 't2^-1', (1, 23): 't1', (2, 44): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 43): 't3^-1*tau2^-1*t3^-1', (2, 46): 't3^-1*tau2^-1*t1', (2, 47): 't3^-1*tau2^-1*t1', (2, 15): 't2^-1', (1, 47): 't3^-1*tau2^-1*t3^-1', (2, 38): 'tau1^-1', (2, 39): 'tau1^-1', (0, 6): 't1^-1', (0, 7): 't1^-1', (0, 36): 't3^-1', (0, 37): 't3^-1'}