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On further Subdivisions of Regular Polygons using Structures other than Spidrons and Tiling Patterns Generated by them

by T. Gangopadhyay
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 165 - Number 1
Year of Publication: 2017
Authors: T. Gangopadhyay
10.5120/ijca2017913785

T. Gangopadhyay . On further Subdivisions of Regular Polygons using Structures other than Spidrons and Tiling Patterns Generated by them. International Journal of Computer Applications. 165, 1 ( May 2017), 31-34. DOI=10.5120/ijca2017913785

@article{ 10.5120/ijca2017913785,
author = { T. Gangopadhyay },
title = { On further Subdivisions of Regular Polygons using Structures other than Spidrons and Tiling Patterns Generated by them },
journal = { International Journal of Computer Applications },
issue_date = { May 2017 },
volume = { 165 },
number = { 1 },
month = { May },
year = { 2017 },
issn = { 0975-8887 },
pages = { 31-34 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume165/number1/27540-2017913785/ },
doi = { 10.5120/ijca2017913785 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:11:14.674813+05:30
%A T. Gangopadhyay
%T On further Subdivisions of Regular Polygons using Structures other than Spidrons and Tiling Patterns Generated by them
%J International Journal of Computer Applications
%@ 0975-8887
%V 165
%N 1
%P 31-34
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A regular n-sided polygon can be split into n n-part spidrons, as well as, into n-part ladders. In the present paper, it is shown that there exist yet other linked triangular structures which are distinct from spidrons and ladders and which can also be used to subdivide regular polygons. Tiling patterns using such subdivisions are also explored in detail.

References
  1. Abelson and diSessa, Turtle Geometry, MIT Press, 1992
  2. Erdely, D. http://www.bridgesmathart.org/art exhibits/bridges2007/erdely.html.
  3. Gangopadhyay, T. On an alternate construction method for generating spidrons and new tiling patterns generated by them, International journal of Computer Applications, Volume 160, number 3, 2017.
  4. Gangopadhyay, T. On subdividing regular polygons using structures other than spidrons and tiling patterns generated by them, submitted for publication.
  5. Jacques, F. http://polyspidrons.over-blog.com/article-4823990.html .
  6. Peterson, I.  "Swirling Seas, Crystal Balls". ScienceNews.org. Archived from the original on February 28, 2007. Retrieved 2007-02-14.
  7. Stenzhorn, S. Mathematical description of Spidrons, http://stefanstenzhorn.com/Spidrons.
  8. Spidron From Wikipedia, the free encyclopedia https://en.wikipedia.org/wiki/Spidron.
Index Terms

Computer Science
Information Sciences

Keywords

Spidron ladder creeper polygon isosceles subdivision

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