Laposky was interested in showing the designs or patterns based on natural forms, curves due to physical forces, or curves based on mathematical principles, such as various waveforms ( sine-waves, square waves and Lissajous figures ).
12.
For a ratio of 1, the figure is an ellipse, with special cases including circles (, } } radians ) and knot, and indeed many kinds of knots, including those known as Lissajous knots, project to the plane as Lissajous figures.
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More scientific publications followed, including a study of a meteor explosion ( 1807 ), three papers on the orbits of comets ( 1815, 1818, 1820 ) and a study of the Lissajous figures created by the motion of a pendulum suspended from two points ( 1815 ).
