U-tiling: UQC1370
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc601 |
*4444 |
(2,3,4) |
{6,8} |
{4.8.3.8.3.8}{3.8.3.8.3.8.3.8} |
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
|
|
sqc1340
|
|
P-4m2 |
115 |
tetragonal |
{8,5} |
5 |
(2,3) |
|
G
|
False
|
|
sqc1891
|
|
I-42m |
121 |
tetragonal |
{8,6} |
5 |
(2,4) |
|
D
|
False
|
|
sqc1954
|
|
I-4m2 |
119 |
tetragonal |
{8,6} |
5 |
(2,3) |
Topological data
| Vertex degrees | {6,8} |
| 2D vertex symbol | {4.8.3.8.3.8}{3.8.3.8.3.8.3.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.2:64:3 4 53 54 23 24 11 12 61 62 31 32 19 20 29 30 27 28 35 36 45 46 55 56 43 44 63 64 51 52 59 60,17 50 11 5 7 16 25 58 13 15 26 35 21 23 40 43 29 31 48 49 42 37 39 57 45 47 59 53 55 64 61 63,2 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 64:8 3 8 4 3 3 3,8 6 6 6 6> {(0, 55): 'tau1^-1', (0, 61): 't3^-1*tau2^-1*t1', (0, 30): 'tau3^-1', (0, 31): 'tau3^-1', (0, 60): 't3^-1*tau2^-1*t1', (0, 22): 't2^-1', (0, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 48): 't3^-1', (0, 62): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 56): 't3^-1*tau2^-1*t3^-1', (1, 47): 't3*tau2*t1^-1', (0, 23): 't2^-1', (1, 42): 't3*tau2*t1^-1', (0, 54): 'tau1^-1', (1, 24): 't1', (1, 57): 't3^-1*tau2^-1*t1', }