Product Description
This hollow partial sphere, like a sunflower, is composed of 1,000 identical truncated hexagonal prism 'seeds'. It was created by taking a simple planar spiral of the prism 'seeds', then rotating, tilting, and translating each seed to its appropriate place on the sphere. The planar spiral equation is a polar equation where each seed's center is located at a distance r and angle A from the origin, where r= .01 Sqrt[t] for each t, 1 to 1000, and A= 2 t Pi/(Phi ^2), where Phi is the Golden Ratio, 1.618. So each seed in the spiral is rotated 137.5 degrees ( the "Golden Angle") from the previous one, and is a bit further out from the center. There is a nice photo of a Chamomile flower,with a similar arrangement, which is visible if you click on the 'white strong and flexible' material option, It shows the arrangement of the outer spirals of a flower as 21 blue spirals and 13 aqua spirals which are consecutive Fibonacci numbers. (See Fibonacci Number on Wikipedia)