We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Reseach Article

On Transforming Spirographic Output with Trigonometric and Other Functions

by T. Gangopadhyay
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
  1. "Denys Fisher - Times Online Obituary". London: The Times. 2002-10-26. Retrieved 2008-07-26.
  2. F. Farris, Wheels on wheels on wheels – surprising symmetry, Mathematics Magazine 69, 185 (1996).
  3. A. Garg, Spirograph, last accessed 2006-09-30. , URL http: //www. wordsmith. org/anu/java/spirograph. html.
  4. Gangopadhyay, T. 2012 On generating skyscapes through escape-time fractals, International journal of Computer Applications 43(2012)17-19
  5. Gangopadhyay, T. 2012 On Transforming Popcorn Fractals With Spherical And Other Functions, International journal of Computer Applications 50(2012)28-32.
  6. Gangopadhyay, T. 2012 IFS Fractals generated by affine transformation with trigonometric coefficients and their transformationsInternational journal of Computer Applications 53(2012)29-32.
  7. J. Dennis Lawrence, A Catalog of Special Plane Curves, Dover Books, 1972
  8. D. Little, Spirograph (2001), last accessed 2006-09-30. , http://www. math. psu. edu/dlittle/java/parametricequatio ns/spirograph/index. html.
  9. 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