U-tiling: UQC97
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc76 |
*4444 |
(2,2,2) |
{12,4} |
{4.12.12.4.12.12.4.12.12.4.12.12... |
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
|
|
sqc95
|
|
I-4m2 |
119 |
tetragonal |
{12,4} |
2 |
(2,2) |
|
D
|
True
|
|
sqc22
|
|
I-4m2 |
119 |
tetragonal |
{8,4} |
2 |
(2,2) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.12.12.4.12.12.4.12.12.4.12.12}{12.12.12.12} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.2:32:9 10 4 13 14 8 12 16 25 26 20 29 30 24 28 32,5 3 28 7 32 17 11 16 21 15 19 24 23 29 27 31,2 11 12 6 15 16 10 14 18 27 28 22 31 32 26 30:4 12,12 4> {(0, 24): 't3^-1', (0, 17): 't3', (1, 31): 't3^-1*tau2^-1*t1', (2, 26): 'tau1^-1', (2, 27): 'tau1^-1', (0, 13): 't1', (2, 23): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 30): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 20): 't3*tau2*t3', (0, 21): 't3*tau2*t3', (2, 14): 'tau3^-1', (2, 15): 'tau3^-1', (1, 20): 't3*tau2*t1^-1', (2, 2): 't2', (2, 11): 't2^-1', (0, 4): 't1^-1'}