U-tiling: UQC182
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc166 |
*2244 |
(2,2,2) |
{3,8} |
{6.8.6}{6.8.6.8.6.8.6.8} |
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) |
|
G
|
False
|
|
sqc3362
|
|
I-42d |
122 |
tetragonal |
{3,8} |
10 |
(2,3) |
|
D
|
False
|
|
sqc14625
|
|
P4/mmm |
123 |
tetragonal |
{8,3} |
5 |
(2,2) |
Topological data
| Vertex degrees | {3,8} |
| 2D vertex symbol | {6.8.6}{6.8.6.8.6.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:80:41 4 5 46 9 10 51 14 15 56 19 20 61 24 25 66 29 30 71 34 35 76 39 40 44 45 49 50 54 55 59 60 64 65 69 70 74 75 79 80,2 33 9 15 7 38 20 12 18 24 17 29 22 28 35 27 40 32 39 37 42 73 49 55 47 78 60 52 58 64 57 69 62 68 75 67 80 72 79 77,31 3 5 36 8 10 16 13 15 18 20 26 23 25 28 30 33 35 38 40 71 43 45 76 48 50 56 53 55 58 60 66 63 65 68 70 73 75 78 80:6 8 6 6 6 8,3 8 3 3 3 3 8 3 3 3> {(1, 34): 't3^-1', (1, 54): 't2^-1', (1, 77): 't3^-1*tau2^-1*t1', (1, 59): 'tau3^-1', (2, 45): 't1^-1*tau2*t3', (1, 68): 't3*tau2*t1^-1', (1, 79): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 37): 't3^-1*tau2^-1*t1', (1, 19): 't1', (1, 39): 't3^-1*tau2^-1*t3^-1', (1, 28): 't3*tau2*t1^-1', (1, 74): 'tau1^-1', (2, 35): 't3^-1*tau2^-1*t1', }