Showing posts with label Lissajous curve. Show all posts
Showing posts with label Lissajous curve. Show all posts

Wednesday, August 18, 2010

Geometric Art: Lissajous Curve - Index

Click the figure below to see the Index.

 Geometric Art: Lissajous Curve - Index
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Geometric Art: Lissajous Curve - Index

Generating Lissajous with Figures Wolfram Mathematica, Video and News

Video and News
Given two wheels connected by a belt and a point on the outer rim of each, one can generate a Lissajous figure by the motion of the wheels. The coordinates of a point on a wheel can be described by sine functions of a certain frequency and phase shift.

Click the figure below to see the video.

Generating Lissajous Figures with Wolfram Mathematica, Video.
See also:
Generating Lissajous Figures

Triangle and Lissajous Curve Art

A Lissajous curve (Lissajous figure or Bowditch curve) is the graph of a system of parametric equations x = A.sin(at + d), y = B.sin(bt).

Click the figure below to see the illustration.


Triangle and Lissajous Curve Art.
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Triangle Lissajous Curve Art