Morphological Simulation of Phyllotactic Spiral-Ring Patterns by the Galactic Spiral Equations from the ROTASE Model

Hongjun Pan

doi:10.20944/preprints202208.0231.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 4 August 2022 / Approved: 12 August 2022 / Online: 12 August 2022 (08:49:00 CEST)

This short paper demonstrates that the galactic spiral equations developed from ROTASE model can be used to morphologically simulate the phyllotactic spiral-ring patterns of plants. It is also noticed during this project that although the numbers in the Fibonacci sequence dominate the phyllotactic numbers, there are still significant phyllotactic numbers are not in the Fibonacci sequence, however, most of those numbers are well fit into a Fibonacci sibling sequence starting with numbers 0 and 2. Many plants show the phyllotactic number pairs of 10-16, 16-26 and 26-42 from the Fibonacci sibling sequence, which is the second dominated sequence in the phyllotaxis.

Phyllotactic spiral-ring pattern; Galactic spiral equations; Simulation; Fibonacci sibling sequence

Computer Science and Mathematics, Applied Mathematics

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Morphological Simulation of Phyllotactic Spiral-Ring Patterns by the Galactic Spiral Equations from the ROTASE Model

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