U-tiling: UQC181
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) |
|
P
|
False
|
|
sqc517
|
cut
|
P4/mmm |
123 |
tetragonal |
{3,8} |
5 |
(2,2) |
|
G
|
False
|
|
sqc3369
|
|
I41/a |
88 |
tetragonal |
{3,8} |
10 |
(2,3) |
|
D
|
False
|
|
sqc3520
|
|
I41/amd |
141 |
tetragonal |
{3,8} |
10 |
(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
<11.1:80:6 4 5 9 10 21 14 15 26 19 20 24 25 29 30 36 34 35 39 40 56 44 45 51 49 50 54 55 59 60 71 64 65 76 69 70 74 75 79 80,2 33 34 15 7 38 39 20 12 43 44 17 53 54 22 58 59 70 27 48 49 80 32 50 37 60 42 65 47 52 75 57 62 78 79 67 73 74 72 77,31 3 5 36 8 10 41 13 15 51 18 20 56 23 25 46 28 30 33 35 38 40 43 45 48 50 53 55 58 60 76 63 65 71 68 70 73 75 78 80:6 8 8 6 6 6,3 8 3 8 3 3 3 3 3 3> {(0, 60): 'tau1', (1, 78): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 48): 'tau3^-1*t2', (0, 20): 't3^-1', (0, 55): 't3^-1', (1, 73): 't2*tau3^-1*t1^-1*tau2*t3', (1, 33): 't1', (1, 53): 't2*tau3^-1', (0, 50): 't2', (1, 58): 'tau2*t3', (0, 75): 'tau1', (1, 38): 't1', (0, 25): 't2^-1', (1, 43): 't3*tau2', }