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Conference Paper: A Max-Min Principle for Phyllotactic Patterns

TitleA Max-Min Principle for Phyllotactic Patterns
Authors
KeywordsDivergence Angle
Golden Angle
Max-Min Principle
Phyllotactic Patterns
Issue Date2009
PublisherSpringer Berlin Heidelberg
Citation
First International Conference, Complex 2009, Shanghai, China, 23-25 February 2009. In Complex Sciences, 2009, v. 5, p. 1329-1336 How to Cite?
AbstractAn interesting phenomenon about phyllotaxis is the divergence angle between two consecutive primordia. In this paper, we consider a dynamic model based on Max-Min principle for generating 2D phyllotactic patterns studied in [2,5]. Under the hypothesis that the influence of the two predecessors is enough to fix the birth place of the new generated primordium, analysis and numerical experiments are conducted. We then propose a new measurement for evaluating the pattern uniformity (sparsity) of different divergence angles. It is found that the golden angle gives very good sparsity but there are other angles give even better sparsity under our proposed measurement.
Persistent Identifierhttp://hdl.handle.net/10722/62181
ISBN
ISSN
2015 SCImago Journal Rankings: 0.123
Series/Report no.Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

 

DC FieldValueLanguage
dc.contributor.authorChing, WKen_HK
dc.contributor.authorCong, Yen_HK
dc.contributor.authorTsing, NKen_HK
dc.date.accessioned2010-07-13T03:55:41Z-
dc.date.available2010-07-13T03:55:41Z-
dc.date.issued2009en_HK
dc.identifier.citationFirst International Conference, Complex 2009, Shanghai, China, 23-25 February 2009. In Complex Sciences, 2009, v. 5, p. 1329-1336-
dc.identifier.isbn978-3-642-02468-9-
dc.identifier.issn1867-8211-
dc.identifier.urihttp://hdl.handle.net/10722/62181-
dc.description.abstractAn interesting phenomenon about phyllotaxis is the divergence angle between two consecutive primordia. In this paper, we consider a dynamic model based on Max-Min principle for generating 2D phyllotactic patterns studied in [2,5]. Under the hypothesis that the influence of the two predecessors is enough to fix the birth place of the new generated primordium, analysis and numerical experiments are conducted. We then propose a new measurement for evaluating the pattern uniformity (sparsity) of different divergence angles. It is found that the golden angle gives very good sparsity but there are other angles give even better sparsity under our proposed measurement.-
dc.languageengen_HK
dc.publisherSpringer Berlin Heidelberg-
dc.relation.ispartofComplex Sciences-
dc.relation.ispartofseriesLecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering-
dc.subjectDivergence Angle-
dc.subjectGolden Angle-
dc.subjectMax-Min Principle-
dc.subjectPhyllotactic Patterns-
dc.titleA Max-Min Principle for Phyllotactic Patternsen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailChing, WK: wching@HKUCC.hku.hken_HK
dc.identifier.emailCong, Y: congyang@hkusua.hku.hken_HK
dc.identifier.emailTsing, NK: nktsing@hku.hken_HK
dc.identifier.authorityChing, WK=rp00679en_HK
dc.identifier.authorityTsing, NK=rp00794en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/978-3-642-02469-6_14-
dc.identifier.hkuros155842en_HK

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