U-tiling: UQC138
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc139 |
*2244 |
(2,3,2) |
{3,8} |
{4.8.8}{8.8.8.8.8.8.8.8} |
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
|
|
sqc3305
|
|
I41/amd |
141 |
tetragonal |
{8,3} |
10 |
(2,3) |
|
D
|
False
|
|
sqc3304
|
|
I41/amd |
141 |
tetragonal |
{8,3} |
10 |
(2,3) |
Topological data
| Vertex degrees | {3,8} |
| 2D vertex symbol | {4.8.8}{8.8.8.8.8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<7.1:80:6 3 34 35 8 39 40 21 13 44 45 26 18 54 55 23 59 60 28 49 50 36 33 38 56 43 51 48 53 58 71 63 79 80 76 68 74 75 73 78,2 4 15 7 9 20 12 14 17 19 22 24 70 27 29 80 32 34 50 37 39 60 42 44 65 47 49 52 54 75 57 59 62 64 67 69 72 74 77 79,31 12 13 5 36 17 18 10 41 15 51 20 56 67 68 25 46 77 78 30 47 48 35 57 58 40 62 63 45 50 72 73 55 60 76 65 71 70 75 80:8 4 4 8 8 8,8 3 8 3 3 3 3 3 3 3> {(0, 74): 't2*tau3^-1*t1^-1*tau2*t3', (0, 55): 't3^-1', (0, 34): 't1', (0, 59): 'tau2*t3', (0, 48): 'tau3^-1*t2', (0, 38): 't1', (0, 63): 't3*tau2*t1^-1*tau3^-1*t2', (0, 75): 'tau1', (0, 79): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 49): 'tau3^-1*t2', (0, 39): 't1', (0, 60): 'tau1', (0, 53): 't2*tau3^-1', (0, 43): 't3*tau2', (0, 20): 't3^-1', (0, 73): 't2*tau3^-1*t1^-1*tau2*t3', (0, 50): 't2', (0, 33): 't1', (0, 54): 't2*tau3^-1', (0, 44): 't3*tau2', (0, 25): 't2^-1', (0, 58): 'tau2*t3', }