At First I Thought It Was A Normal Sculpture, But When It Started To Spin I Was Hypnotized.
What you're about to see is the product of fantastic imagination, technology, and art wonderfully combined into something mesmerizing.
To make these sculptures product designer John Edmark made use of mother nature's mathematics. Every petal is positioned on top of a core at an angle of 137.5 degrees of the petal behind it — a specific angle that is based on the Golden Ratio.
"When that angle is used by nature as a growth strategy it leads to the formation of spiral patterns... If you were to count the number of spirals in these patterns you will find that they are always a Fibonacci number." -John Edmark
The key to getting the effect of moving leaves and petals is hitting the spinning sculpture with a strobe light. See the video below to get a clear idea of what the strobe is doing in a different scenario.
"If you follow what appears to be a single petal as it works its way out and down the sculpture, what you are actually seeing is all the petals on the sculpture in the order of their respective distances from the top-centre," -John Edmark
Edmark designed three main types of sculptures: bursting cubes, spiraling circles, and flower petals.
You can get a ready-made sculpture like this from Shapeways.
If you want to make one yourself Edmark gives tips on how to create the base, set up the strobe lights, and provides the files needed to print the sculpture.
If you'd like the 3D printer files for these sculptures you can get a hold of Edmark from the DIY Instructables site.