U-tiling: UQC471
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
|
|
sqc234
|
|
P4/mmm |
123 |
tetragonal |
{8,10} |
2 |
(2,2) |
|
G
|
True
|
|
sqc350
|
|
I4/mmm |
139 |
tetragonal |
{6,14} |
2 |
(2,3) |
|
D
|
True
|
|
sqc22
|
|
I-4m2 |
119 |
tetragonal |
{8,4} |
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
<8.1:48:3 4 17 18 9 10 23 24 15 16 21 22 27 28 41 42 33 34 47 48 39 40 45 46,7 14 15 5 42 20 21 11 48 25 17 24 31 23 38 39 29 36 44 45 35 43 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> {(0, 41): 't3^-1', (1, 37): 't3^-1', (0, 22): 't1', (0, 47): 't3^-1*tau2^-1*t3^-1', (1, 20): 'tau3^-1', (0, 46): 't3^-1*tau2^-1*t3^-1', (1, 44): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 40): 't3^-1', (1, 14): 't2^-1', (1, 47): 't3^-1*tau2^-1*t1', (0, 23): 't1', (1, 19): 't1', (1, 38): 'tau1^-1', (1, 43): 't3^-1*tau2^-1*t3^-1', (1, 30): 't3*tau2*t1^-1', }