Some of the nice flowers that have been constructed before can be animated by others. 

This is a flower from Vlad (MDL) (left).Silas from GER has animated it. Have a look here!

There are some more animations in a GeoGebra book.

How can animate a flower (RO)

MD flower animated by Isabela-Ro

Ger flower animated by Matei - Ro

Animated petals "Blowing in the wind" (IT)