U-tiling: UQC472
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc237 |
*4444 |
(2,2,3) |
{16,8} |
{4.3.8.3.4.3.8.3.4.3.8.3.4.3.8.3... |
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
|
|
sqc354
|
xal
|
P4/mmm |
123 |
tetragonal |
{8,12} |
2 |
(2,2) |
|
G
|
True
|
|
sqc350
|
|
I4/mmm |
139 |
tetragonal |
{6,14} |
2 |
(2,3) |
|
D
|
True
|
|
sqc95
|
|
I-4m2 |
119 |
tetragonal |
{12,4} |
2 |
(2,2) |
Topological data
| Vertex degrees | {16,8} |
| 2D vertex symbol | {4.3.8.3.4.3.8.3.4.3.8.3.4.3.8.3}{3.8.3.8.3.8.3.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.2:48:3 4 41 42 9 10 47 48 15 16 23 24 21 22 27 28 35 36 33 34 39 40 45 46,13 38 9 5 18 19 44 11 24 20 27 17 33 23 37 32 29 42 43 35 48 45 41 47,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48:8 3 4 3 3 3,8 16> {(1, 23): 'tau3^-1', (1, 17): 't2^-1', (1, 42): 't3^-1*tau2^-1*t3^-1', (0, 47): 't3^-1*tau2^-1*t1', (1, 43): 't3^-1*tau2^-1*t1', (1, 36): 't3^-1', (1, 47): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 18): 't1', (1, 41): 'tau1^-1', (1, 32): 't3*tau2*t1^-1', (0, 46): 't3^-1*tau2^-1*t1', }