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On Transforming Spirographic Output with Trigonometric and Other Functions

by T. Gangopadhyay
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 60 - Number 13
Year of Publication: 2012
Authors: T. Gangopadhyay
10.5120/9756-4427

T. Gangopadhyay . On Transforming Spirographic Output with Trigonometric and Other Functions. International Journal of Computer Applications. 60, 13 ( December 2012), 41-45. DOI=10.5120/9756-4427

@article{ 10.5120/9756-4427,
author = { T. Gangopadhyay },
title = { On Transforming Spirographic Output with Trigonometric and Other Functions },
journal = { International Journal of Computer Applications },
issue_date = { December 2012 },
volume = { 60 },
number = { 13 },
month = { December },
year = { 2012 },
issn = { 0975-8887 },
pages = { 41-45 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume60/number13/9756-4427/ },
doi = { 10.5120/9756-4427 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:06:33.136655+05:30
%A T. Gangopadhyay
%T On Transforming Spirographic Output with Trigonometric and Other Functions
%J International Journal of Computer Applications
%@ 0975-8887
%V 60
%N 13
%P 41-45
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In spirographs generated by Farris equations there is always a manifold symmetry. In the present paper a study has been made of the effect of diverse trigonometric and other transformations on the output of a spirograph. The effect is to reduce symmetry and produce various flying figures and other recognizable shapes.

References
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  9. D. Little, Spirograph (2001), last accessed 2006-09-30. , http://www. math. psu. edu/dlittle/java/parametricequatio ns/spirograph/index. html.
  10. O'Connor, John J. ; Robertson, Edmund F. ,hypotrochoid", MacTutor History of Mathematics archive, University of St Andrews. , http://www-history. mcs. st-and. ac. uk/,July,2012.
Index Terms

Computer Science
Information Sciences

Keywords

spirograph transformation trigonometric logarithmic

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