Lissajous Figure

Lissajous Figure is the one expressed in the form of x and y set as follows :
{ (x, y) | x = a sin ( f t ), y = b sin ( g t + c ) } .

No.1    Circle

The figure of circle is produced from the function of variable t ,
{ (x, y) | x = sin ( t ), y = sin ( t + π / 2 ) } .

No.2    Ellipse

The figure of ellipse is produced from the function of variable t ,
{ (x, y) | x = sin ( t ), y = sin ( t + π / 4 ) } .

No.3    Complicated Lissajous Figure (1)

The following figure is produced from the function of variable t ,
{ (x, y) | x = sin ( t ), y = sin ( 1.2 t ) } .

No.4    Complicated Lissajous Figure (2)

The following figure is produced from the function of variable t ,
{ (x, y) | x = sin ( t ), y = sin ( 1.2 t + π / 2 ) } .

No.5    Complicated Lissajous Figure (3)

The following figure is produced from the function of variable t ,
{ (x, y) | x = sin ( t ), y = sin ( 1.1 t ) } .

No.6    Complicated Lissajous Figure (4)

The following figure is produced from the function of variable t ,
{ (x, y) | x = sin ( t ), y = sin ( sqrt(2) t ) } .