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Fibonacci and quasi-symmetric phyllotaxis Gole, Christophe
Description
The first phyllotaxis pattern formation model was proposed in 1868 by Schwendener, and consists of stacking one disk at a time on the surface of a cylinder. As simple as it is, this model exhibits plenty of geometric and dynamical richness, which are best revealed by systematic computer simulations. It helps explain the predominance of Fibonacci phyllotaxis, where the number of helixes (parastichies) in the two transverse families are successive Fibonacci numbers. It also helped us the mechanisms of formation of a type of pattern never mentioned in the literature, that we called Quasi Symmetric. In these patterns, often characterized by rapid parameter changes, the two parastichies numbers tend to be close to one another. Now go and count parastichies on a strawberry….
Item Metadata
Title |
Fibonacci and quasi-symmetric phyllotaxis
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-12-14T09:36
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Description |
The first phyllotaxis pattern formation model was proposed in 1868 by Schwendener, and consists of stacking one disk at a time on the surface of a cylinder. As simple as it is, this model exhibits plenty of geometric and dynamical richness, which are best revealed by systematic computer simulations. It helps explain the predominance of Fibonacci phyllotaxis, where the number of helixes (parastichies) in the two transverse families are successive Fibonacci numbers. It also helped us the mechanisms of formation of a type of pattern never mentioned in the literature, that we called Quasi Symmetric. In these patterns, often characterized by rapid parameter changes, the two parastichies numbers tend to be close to one another. Now go and count parastichies on a strawberry….
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Extent |
32 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Smith College
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Series | |
Date Available |
2018-07-06
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0368827
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International