U-tiling: UQC1761
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1311 |
*222222 |
(2,5,4) |
{7,3} |
{4.4.8.4.8.4.4}{8.8.4} |
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
|
|
sqc3180
|
|
I212121 |
24 |
orthorhombic |
{3,7} |
8 |
(2,6) |
|
D
|
False
|
|
sqc415
|
|
P222 |
16 |
orthorhombic |
{3,7} |
4 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {4.4.8.4.8.4.4}{8.8.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<61.1:80:21 4 5 46 47 18 19 30 31 14 15 56 57 40 24 25 66 67 38 39 34 35 76 77 61 44 45 58 59 70 71 54 55 80 64 65 78 79 74 75,2 13 6 45 8 10 12 16 55 18 20 22 33 26 65 28 30 32 36 75 38 40 42 53 46 48 50 52 56 58 60 62 73 66 68 70 72 76 78 80,11 3 5 7 9 50 13 15 17 19 60 31 23 25 27 29 70 33 35 37 39 80 51 43 45 47 49 53 55 57 59 71 63 65 67 69 73 75 77 79:8 4 4 4 8 4 4 4,3 7 7 3 7 7 3 3> {(0, 29): 't3', (0, 18): 't1^-1', (0, 55): 't1', (1, 64): 'tau1*t3^-1', (0, 78): 'tau2^-1*t3^-1', (0, 59): 't2^-1*tau1^-1*t3*tau2', (0, 38): 'tau2^-1*t3^-1', (2, 50): 'tau3^-1*t2', (1, 72): 't1^-1*tau3^-1*t2', (0, 56): 't1', (2, 29): 't3*tau1^-1', (0, 49): 't2^-1*tau1^-1', (0, 39): 'tau2^-1*t1', (1, 54): 'tau3^-1', (1, 44): 't2^-1', (0, 17): 't1^-1', (2, 49): 't2^-1', (2, 59): 'tau3^-1', (0, 50): 't1', (2, 39): 't3*tau1^-1*t2^-1*tau3*t1', (0, 77): 'tau2^-1*t3^-1', (1, 74): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 37): 'tau2^-1*t3^-1', (1, 52): 'tau3^-1*t2', (2, 60): 't2^-1*tau3*t1', }