CFP last date
20 January 2025
Reseach Article

Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 4 Plant Growth modeling and Space Filling Curves

by K. P. Soman, Manu Unni V.g, Praveen Krishnan, V. Sowmya
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 55 - Number 14
Year of Publication: 2012
Authors: K. P. Soman, Manu Unni V.g, Praveen Krishnan, V. Sowmya
10.5120/8823-2744

K. P. Soman, Manu Unni V.g, Praveen Krishnan, V. Sowmya . Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 4 Plant Growth modeling and Space Filling Curves. International Journal of Computer Applications. 55, 14 ( October 2012), 24-29. DOI=10.5120/8823-2744

@article{ 10.5120/8823-2744,
author = { K. P. Soman, Manu Unni V.g, Praveen Krishnan, V. Sowmya },
title = { Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 4 Plant Growth modeling and Space Filling Curves },
journal = { International Journal of Computer Applications },
issue_date = { October 2012 },
volume = { 55 },
number = { 14 },
month = { October },
year = { 2012 },
issn = { 0975-8887 },
pages = { 24-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume55/number14/8823-2744/ },
doi = { 10.5120/8823-2744 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:57:42.053610+05:30
%A K. P. Soman
%A Manu Unni V.g
%A Praveen Krishnan
%A V. Sowmya
%T Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 4 Plant Growth modeling and Space Filling Curves
%J International Journal of Computer Applications
%@ 0975-8887
%V 55
%N 14
%P 24-29
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

String rewriting systems are another iterative process for creating fractals. The additional grammar formalism in L-systems allows us to build a richer variety of shapes. L-Systems are an efficient way to encode complicated images. With L-Systems different replacements can be made in different parts of the picture. L-Systems can be extended to three dimensions, and have been used to make realistic forgeries of plants. They provide a good laboratory for learning about recursive processes, and pattern recognition. In this last article in the series, we explain L-System formalism initially developed for modeling plant growth. The concept can be also used for creating Space filling curves. The drawing of these plots in spreadsheet is explained. It is the first attempt in drawing all fractals in spreadsheet.

References
  1. Barnsley,M. , F. , "Fractals Everywher"e, 1993
  2. Peters, E. , E. , "Chaos and Order in the Capital Markets: A New View of Cycles, Prices, and Market Volatility", Wiley, 2nd Edition, 1996
  3. Devaney, R. , Keen, L. , eds. , "Chaos and Fractals: The Mathematics behind the Computer Graphics", American Mathematical Society, Providence, RI, 1989
  4. Falconer, K. , "Fractal Geometry: Mathematical Foundations and Applications", Wiley, (2003)
  5. Peitgen, H. , Juergens, H. , Saupe, D. , "Fractals for the Classroom. Springer", (1991)
  6. Mandelbrot, B. , "The Fractal Geometry of Nature", published by W. H. Freeman, 1983
  7. Mumford, D. , Caroline Series, Wright, D. , "Indra's Pearls: The Vision of Felix Klein", Cambridge University Press, 2002
  8. Przemyslaw. P, Lindenmayer,A. , "Algorithmic beauty of Plants", Springer Verelag, 1990
  9. Flake, G. W, "Computational Beauty of Nature", MIT press, 1998
Index Terms

Computer Science
Information Sciences

Keywords

Computational thinking L-Systems Space filling curves