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International Journal of Statistics and Mathematics IF 2015: 4.232

Arts revealed in calculus and its extension

Hanna Arini Parhusip

Accepted 29 August, 2014.

Citation: Parhusip HA (2014). Arts revealed in calculus and its extension. International Journal of Statistics and Mathematics, 1(3): 016-023.

Copyright: © 2014 Parhusip HA. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Abstract

Motivated by presenting mathematics  visually and interestingly to common people based on calculus and its extension, parametric curves are explored here to have two and three dimensional objects such that these objects can be used for demonstrating mathematics.Epicycloid, hypocycloid are particular curves that are implemented in MATLAB programs and the motifs are presented here. The obtained curves are considered to be domains for complex mappings to have new variation of Figures and objects. Additionally Voronoi mapping is also implemented  to some parametric curves and some resulting complex mappings. Some obtained 3 dimensional objects are considered as flowers and animals inspiring to be mathematical ornaments of hypocycloid dance which is also illustrated here.

Mathematics Subject Classification (2010). 97G20, 97A20, 97G50.

Keywords: Parametric curves, hypocycloid, complex mapping, Voronoi mapping

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