- jo!Feb 17, 2013
- coollFeb 17, 2013
- As a math geek and a man with a BSCS, this interest me. I feel like explaining this later.Feb 17, 2013
- Might this relate to schrodingers' wave function? Could u jason charney give an example, that'd b cool.Feb 17, 2013
- Actually, +JON DAVIS , that seems unrelated from my experience. I was thinking more in terms calculating the inradius and circumradius of a regular polygon. (See http://mathworld.wolfram.com/RegularPolygon.html for details), then applying these calulcations in terms of the periodic function as demonstrated in the image above. (See http://mathworld.wolfram.com/PeriodicFunction.html as well.) The image above provides a very genuine display of creative thinking for mathematics. It should be noted, the more sides that are added to the regular polygon, the more smooth the path will appear, which is demonstrated by the period of the circle.Feb 17, 2013
- Another factor to consider is the rotation of the polygon. If you turn the hexagon 90 degrees with respect to the origin, the period looks much different. Likewise with any other angle the shape is rotated. If you rotated the square 45degrees, the graph would be sawtoothed.Feb 17, 2013
- Interesting. I'm not sure how well the non-circular examples serve as models of real (or familiar) systems, but it is very thought-provoking.Feb 26, 2015
- This is the basis of some of the old mechanical linkages that provide dwell time.

Except for the circle, the trace will also be different if the point travels at constant angular velocity (d/d𝚹)or constant linear velocity along the circumference (d/ds).Aug 30, 2015