Question about generating a curve.

[Arc]

Newb here looking for some help with a design.

Aiming to make a simple mechanism that will move a pointer in a curve like the one attached, which I generated manually.

I would like to use rolling wheels as used to generate cycloids, epicycloids etc.

I used a curve fitting app which shows a 3rd order polynomial is a very good fit.

My question is that given it is such a short curve how can I work out if there is part of a cycloid (for example) that might match my curve within say a few percent.

Thanks for any advice, the Arc.

 

[Arc]

Greetings, after a bit more thinking it seems to me that by rolling the wheel along a curve rather than a straight line i should be able to generate any "simple" type of curve.

Is this calculatable or would it just be easier to draw by hand?

Cheers, the Arc