Skip navigation

Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
dc.contributor.authorGdawiec, Krzysztof-
dc.contributor.authorKotarski, Wiesław-
dc.contributor.authorLisowska, Agnieszka-
dc.identifier.citationWSCG 2014 Poster Papers Proceedings, pp. 21-26, (2014)pl_PL
dc.description.abstractIn the paper visualizations of some modifications based on the Newton's root finding of complex polynomials are presented. Instead of the standard Picard iteration several different iterative processes described in the literature, that we call as non-standard ones, are used. Following Kalantari such visualizations are called polynomiographs. Polynomiographs are interesting from scientific, educational and artistic points of view. By the usage of different kinds of iterations we obtain quite new, comparing to the standard Picard iteration, polynomiographs that look aesthetically pleasing. As examples we present some polynomiographs for complex polynomial equation z^3 - 1 = 0. Polynomiographs graphically present dynamical behaviour of different iterative processes. But we are not interested in it. We are focused on polynomiographs from the artistic point of view. We believe that the new polynomiographs can be interesting as a source of aesthetic patterns created automatically. They also can be used to increase functionality of the existing polynomiography software.pl_PL
dc.publisherVaclav Skala – Union Agencypl_PL
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.subjectiteration processpl_PL
dc.subjectNewton methodpl_PL
dc.subjectcomputer artpl_PL
dc.titlePolynomiography with Non-standard Iterationspl_PL
Appears in Collections:Książki/rozdziały (WNŚiT)

Files in This Item:
File Description SizeFormat 
Gdawiec_Polynomiography_with_non_standard_iterations.pdf2,18 MBAdobe PDFView/Open
Show simple item record

Uznanie autorstwa - użycie niekomercyjne, bez utworów zależnych 3.0 Polska Creative Commons License Creative Commons