U-tiling: UQC4211
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc876 |
*4444 |
(4,3,2) |
{3,12,4,4} |
{8.6.6}{8.6.6.8.6.6.8.6.6.8.6.6}... |
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
|
False
|
|
sqc1843
|
|
P4/mmm |
123 |
tetragonal |
{3,12,4,4} |
7 |
(4,3) |
|
G
|
False
|
|
sqc1825
|
|
I-4 |
82 |
tetragonal |
{3,12,4,4} |
7 |
(4,4) |
Topological data
| Vertex degrees | {3,12,4,4} |
| 2D vertex symbol | {8.6.6}{8.6.6.8.6.6.8.6.6.8.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.2:64:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,17 50 5 7 14 16 25 58 13 15 26 21 23 38 40 29 31 46 48 49 42 37 39 57 45 47 53 55 62 64 61 63,3 4 21 22 23 24 11 12 29 30 31 32 19 20 27 28 35 36 53 54 55 56 43 44 61 62 63 64 51 52 59 60:8 6 6 6 6,3 12 4 4 3 3 3> {(2, 60): 't3^-1*tau2^-1*t3^-1', (2, 61): 't3^-1*tau2^-1*t3^-1', (2, 62): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 23): 't2^-1', (1, 56): 't3^-1*tau2^-1*t3^-1', (2, 29): 't1', (2, 52): 't3^-1', (2, 53): 't3^-1', (2, 54): 'tau1^-1', (2, 55): 'tau1^-1', (1, 24): 't1', (2, 30): 'tau3^-1', (1, 57): 't3^-1*tau2^-1*t1', (2, 31): 'tau3^-1', (1, 45): 't3*tau2*t1^-1', (1, 47): 't3*tau2*t1^-1', (1, 48): 't3^-1', (2, 28): 't1', (2, 22): 't2^-1'}