Zinnia after Clayton Boyer

Daniel Ruiz Aguilera posted this lovely kinetic sculpture, https://www.youtube.com/watch?v=--O9eyKIubY, by Clayton Boyer and I was totally nerdsniped. My favorite flower, optical illusion, and dynamic geometry? Might as well stick in a piece of chocolate-chile cake. I wanted you to be able to set the number of petals, design the petal, and have a slowing spin. How would you do that last part?