Generalized Euler's Spiral

 From:  bemfarmer
"Spiro" has a patent application: US Patent Application 20080005212 - METHOD AND APPARATUS FOR INTERACTIVE CURVE GENERATION
so this may limit what can be done?

Clothoids and Euler's spirals have been around for a few hundred years.

Attached are the very simple sine and cosine squared scripts.
The hardest part was figuring out what to square in Michaels sinewave script.