# 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 ) } .