U-tiling: UQC1651
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1272 |
*222222 |
(2,5,4) |
{14,3} |
{4.4.3.6.3.4.4.4.4.3.6.3.4.4}{3.... |
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
|
|
sqc14539
|
|
Pmmm |
47 |
orthorhombic |
{12,3} |
3 |
(2,5) |
|
G
|
True
|
|
sqc1806
|
|
C2/c |
15 |
monoclinic |
{3,10} |
6 |
(2,5) |
|
D
|
True
|
|
sqc101
|
|
Cmmm |
65 |
orthorhombic |
{3,10} |
3 |
(2,4) |
Topological data
| Vertex degrees | {14,3} |
| 2D vertex symbol | {4.4.3.6.3.4.4.4.4.3.6.3.4.4}{3.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.2:80:41 4 5 26 27 18 19 30 61 14 15 36 37 40 71 24 25 38 39 51 34 35 44 45 76 77 68 69 80 54 55 66 67 78 79 70 64 65 74 75,2 23 54 6 8 10 12 33 74 16 18 20 22 64 26 28 30 32 44 36 38 40 42 73 46 48 50 52 63 56 58 60 62 66 68 70 72 76 78 80,21 3 5 7 9 50 31 13 15 17 19 70 23 25 27 29 80 33 35 37 39 60 71 43 45 47 49 61 53 55 57 59 63 65 67 69 73 75 77 79:6 3 4 4 6 3 3 4 4 3,3 14 3 14 3 3> {(2, 20): 't1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 45): 't3*tau2*t1^-1*tau3^-1*t2', (1, 73): 't2^-1', (0, 5): 't1^-1', (0, 26): 't1', (0, 48): 'tau1', (2, 50): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 72): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 35): 't1', (0, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 32): 't1', (0, 46): 't3*tau2*t1^-1*tau3^-1*t2', (1, 63): 't2', (0, 60): 't2*tau3^-1', (0, 20): 'tau3^-1*t2', (0, 57): 'tau1^-1', (0, 47): 'tau1', (2, 30): 't1', (1, 62): 't2*tau3^-1*t1^-1*tau2*t3', (0, 36): 't1', (1, 53): 't3^-1', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (1, 22): 't1', (0, 50): 't3^-1*tau2^-1', (0, 40): 't3*tau2', (1, 43): 't3', (0, 58): 'tau1^-1', }