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What you are viewing in the video is a bloom spinning at 550 RPMs
while being videotaped at 24 frames-per-second with a very fast
shutter speed (1/4000 sec). The rotation speed is carefully
synchronized to the camera's frame rate so that one frame of video is
captured every time the bloom turns ~137.5º—the golden angle. Each
petal on the bloom is placed at a unique distance from the top-center
of the form. If you follow what appears to be a single petal as it
works its way out and down the bloom, what you are actually seeing is all
the petals on the bloom in the order of their respective distances from
the top-center.
Blooms are available at Shapeways,
a 3D printing service.