### ‘back to basics’ harmonograph

After yesterday’s unsatisfying complexity, I decided to start afresh.

I started with the basic formula for a circle: *x = r*sin(theta)* and *y=r*cos(rho)*, where *r* is the radius of the desired circle and *theta* start starts at 0.0 and is gradually incremented, to provide each point on the circle’s circumference. I gave theta a different to calculate *x* and *y*, and added a different weight to each of these formulae, to become *x = r*sin(thetaX) + sin(Wx) *and* y = r*sin(thetaY) + sin(Wy)*. Note that at this stage, unlike *theta*, *Wx* doesn’t vary over time, nor is there a damping effect. This produced the following simple image:

The pen started to repeat itself very quickly, going over exactly the same lines.

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