Dear All--

The following was originally posted by Mahir Abrahim under Equation driven curves: cool equation, in response to: Kevin De Smet on May 6, 2010.

Wave Spring with radius R, height A, and n waves

x: R*cos(2*pi*t)

y: R*sin(2*pi*t)

z: A*sin(n*2*pi*t)

t1: 0

t2: .999 (SW won't do a closed loop)

How did he arrive at this equation. Is it the way it is made. If so, where can I find references to the same, else what are those sources from which this can be derived.

cheers

If I understand it correctly the formula is basically a circle x^2 + y^2 = R^2 plus the z (height) component. If you solve for x and y you get x(t) = cos(t) and y(t)= sin(t) with t being the postion of the rotation. Then add the z component of z(t) = sin(t) for the basic formulas.