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Universal Natural Shapes

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The Geometrical Beauty of Plants
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Abstract

In the book Inventing the Circle [1] it was shown how one generic geometric description, a generalization of Pythagoras and Lamé, allows for the description of many natural shapes, illustrated with many pictures and illustrations. The same ideas were published in the American Journal of Botany in April 2003 [2].

The geometrical description of curves and surfaces and the shapes that are derived via Gielis-transformations, describe and determine in a uniform and universal way an enormous diversity of natural shapes.

Leopold Verstraelen

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Correspondence to Johan Gielis .

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Gielis, J. (2017). Universal Natural Shapes. In: The Geometrical Beauty of Plants. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-151-2_1

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