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I built a laser spirograph and am wondering if anybody can help with the mathematics behind it?
Spirograph -- from Wolfram MathWorld
The above link shows hypotrochoids, which are generated by a fixed point on a circle rolling inside a fixed circle. The various diagrams are exactly what my laser spirograph can make shape wise.
How can I relate the speed of the motors and the angle that the mirrors are tilted at to the hypotrochoid?
Spirograph -- from Wolfram MathWorld
The above link shows hypotrochoids, which are generated by a fixed point on a circle rolling inside a fixed circle. The various diagrams are exactly what my laser spirograph can make shape wise.
How can I relate the speed of the motors and the angle that the mirrors are tilted at to the hypotrochoid?