U-tiling: UQC3271
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
|
|
sqc111
|
|
P4/mmm |
123 |
tetragonal |
{6,6,4} |
3 |
(3,3) |
|
G
|
False
|
|
sqc723
|
|
I-4m2 |
119 |
tetragonal |
{12,8,4} |
3 |
(3,3) |
|
D
|
False
|
|
sqc720
|
|
I-4m2 |
119 |
tetragonal |
{12,8,4} |
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
<3.1:48:7 8 4 6 10 12 25 26 16 18 31 32 22 24 28 30 34 36 43 44 40 42 46 48,13 3 5 12 19 9 11 15 17 30 21 23 36 37 27 29 43 33 35 39 41 48 45 47,2 39 40 17 18 8 45 46 23 24 14 21 22 20 26 33 34 41 42 32 47 48 38 44:4 5 5 5 5,12 8 4> {(1, 42): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 18): 'tau3^-1', (0, 30): 't3*tau2*t1^-1', (0, 31): 't3*tau2*t1^-1', (2, 22): 't1', (2, 23): 't1', (2, 44): 't3^-1*tau2^-1*t1', (2, 45): 't3^-1*tau2^-1*t1', (2, 46): 't3^-1*tau2^-1*t3^-1', (2, 47): 't3^-1*tau2^-1*t3^-1', (2, 40): 't3^-1', (2, 41): 't3^-1', (1, 35): 't3*tau2*t1^-1', (1, 36): 'tau1^-1', (1, 12): 't2^-1'}