Golden-ratio circle effect

This plugin takes an existing image (i.e. a petal) and creates a new one by placing the original repetitively in the new one while rotating and scaling the successive copies (typically rotating the golden angle of 137.5° and scaling down just a little bit each step) resulting in beautiful forms that resemble the work of nature (i.e. a flower)

It can be also used to create animations of spiral falling objects, and other funny things.

You can also choose to use transparency (for flower like things) or not (for animations), keep the intermediate layers (for later effects such as bumps, drop down shadows, etc.) or not (saves memory)

This work is inspired by Vi Hart's video series on the Fibonacci series and their observation in nature; I highly recommend it:

http://vihart.com/blog/doodling-fibonacci-1/

Example:

becomes