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Heino Hellwig, Matthias Jeschke, and Oliver Deussen (2008)

A Contact Pressure Model Based on Centroidal Voronoi Diagrams for Surfaces of Revolution

In: Proceedings of the 5th Annual International Symposium on Voronoi Diagrams in Science and Engineering (ISVD '08).

We present a contact pressure model for the creation of compact phyllotactic patterns on arbitrary surfaces of revolu- tion. By computing the contact pressure on tangent planes with a local centroidal Voronoi relaxation in combination with Hofmeis- ter’s rule for placing new primordia, we obtain stable Fibonacci patterns of a high degree.

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