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On New Polygonal Designs using Linked Triangular 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 166 - Number 8
Year of Publication: 2017
Authors: T. Gangopadhyay
10.5120/ijca2017914090

T. Gangopadhyay . On New Polygonal Designs using Linked Triangular Structures other than Spidrons and Tiling Patterns Generated by them. International Journal of Computer Applications. 166, 8 ( May 2017), 29-33. DOI=10.5120/ijca2017914090

@article{ 10.5120/ijca2017914090,
author = { T. Gangopadhyay },
title = { On New Polygonal Designs using Linked Triangular Structures other than Spidrons and Tiling Patterns Generated by them },
journal = { International Journal of Computer Applications },
issue_date = { May 2017 },
volume = { 166 },
number = { 8 },
month = { May },
year = { 2017 },
issn = { 0975-8887 },
pages = { 29-33 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume166/number8/27690-2017914090/ },
doi = { 10.5120/ijca2017914090 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:13:10.131335+05:30
%A T. Gangopadhyay
%T On New Polygonal Designs using Linked Triangular Structures other than Spidrons and Tiling Patterns Generated by them
%J International Journal of Computer Applications
%@ 0975-8887
%V 166
%N 8
%P 29-33
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

A regular n-sided polygon can be split into n n-part spidrons. Alternate forms of linked triangular structures such as ladders and creepers can also be used to subdivide regular polygons. In the present paper new symmetric designs with inscribed regular polygons are constructed using n 6-part creepers. Also several new tiling patterns are created using these designs

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. Gangopadhyay, T. On further subdivisions of regular polygons using structures other than spidrons and tiling patterns generated by them, submitted for publication.
  6. Jacques, F. http://polyspidrons.over-blog.com/article-4823990.html .
  7. Peterson, I.  "Swirling Seas, Crystal Balls". ScienceNews.org. Archived from the original on February 28, 2007. Retrieved 2007-02-14.
  8. Stenzhorn, S. Mathematical description of Spidrons ,http://stefanstenzhorn.com/Spidrons.
  9. Spidron https://en.wikipedia.org/wiki/Spidron
Index Terms

Computer Science
Information Sciences

Keywords

Spidron creeper polygon isosceles subdivision.

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