Lissajous figures named after Jules-Antoine Lissajous (Also known as Bowditch Curves after the initial work of Nathaniel Bowditch), who devised a method to study compound vibrations. Originally employing pendulums, tuning forks and optical methods. Reflecting light from mirrors on two tuning forks vibrating at right angles will display Lisssjous figures as will other devices such as Harmonographs and Pantographs.

Lisaajous figures are used in many areas Acoustics, Electronics and Communication to name a few areas.

Different patterns will be produced by the variation in frequency and phase between the two input stimuli.

Graphically these can be displayed using the following:

X = A sin(a); Y = B sin(b + p)

Where a & b are the fundamental angles and p is the phase angle.

The frequency being determined by the number of sinewave cycles in a given period (E.g. 360 degrees)

With a maintained at a constant frequency and b set to a multiple of a.

This model is 1 of 3 in a series that each produce a figure rotated in a circle about a fixed point each rotated on a different axis.

These variations in the orientation axis allow a typically flat form to create much more intricate forms.

For this figure I opted to add rotation about a fixed point on the horizontal plane.

Duration 8Pi, frequency ratio a:b (0.125:1), amplitude 2.5:1 and 18 iterations.

Print details

Filament: Sunlu Red PLA

Layer Quality: 0.15mm

Wall Thickness: 2mm

Infill:100%

Base Adhesion: Skirt

Size: 107.9 x 107.9 x 2(H) mm

Weight: 14g