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The coordinate functions of the Heighway dragon curve

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dc.contributor.authorCaprio, D.A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)pt
dc.date.accessioned2026-07-30T18:30:10Z
dc.date.issued2025-12-01
dc.description.abstractIn this work, we investigate the coordinate functions of a generalized Heighway dragon curve and analyze the fractal structure of their graphs using box-counting dimension. In particular, we study the coordinate functions x θ and y θ of the dragon curve for angles π 3 < θ < 5 π 3 , and establish that the box-counting dimension of their graphs is 1 − log ( cos α ) log 2 , where α = ( π − θ ) / 2 .
dc.description.affiliationUNESP - Departamento de matemática, Faculdade de Engenharia - Câmpus de Ilha Solteira, Avenida Brasil, 56 - Centro - Ilha Solteira, SP - CEP, 15385-000 SP, Brazil
dc.description.affiliationUnespUNESP - Departamento de matemática, Faculdade de Engenharia - Câmpus de Ilha Solteira, Avenida Brasil, 56 - Centro - Ilha Solteira, SP - CEP, 15385-000 SP, Brazil
dc.identifierhttps://app.dimensions.ai/details/publication/pub.1193336033
dc.identifier.dimensionspub.1193336033
dc.identifier.doi10.1016/j.chaos.2025.117301
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.orcid0000-0001-7486-7000
dc.identifier.urihttps://hdl.handle.net/11449/328886
dc.publisherElsevier
dc.relation.ispartofChaos Solitons & Fractals; v. 201; p. 117301
dc.rights.accessRightsAcesso restritopt
dc.rights.sourceRightsclosed
dc.sourceDimensions
dc.titleThe coordinate functions of the Heighway dragon curve
dc.typeArtigopt
dspace.entity.typePublication
relation.isOrgUnitOfPublication85b724f4-c5d4-4984-9caf-8f0f0d076a19
relation.isOrgUnitOfPublication.latestForDiscovery85b724f4-c5d4-4984-9caf-8f0f0d076a19
unesp.campusUniversidade Estadual Paulista (UNESP), Faculdade de Engenharia, Ilha Solteirapt

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Ilha Solteira - FEIS - Faculdade de Engenharia