Research Article Open Access

Koch Curves: Rewriting System, Geometry and Application

Mamta Rani, Riaz Ul Haq and Norrozila Sulaiman

Abstract

Problem statement: Recently, new Koch curves have been generated by dividing the initiator into three unequal parts. There is no formal rewriting system to generate such kind of curves. Approach: It is required to measure the new changed geometrical properties. Generalized rewriting systems for the new Koch curves have been developed. Results: New formulas have been given to measure their geometrical properties. Conclusion/Recommendations: The geometrical properties of new Koch curves make them more suitable as antennas in wireless communication than the conventional Koch curve.

Journal of Computer Science
Volume 7 No. 9, 2011, 1330-1334

DOI: https://doi.org/10.3844/jcssp.2011.1330.1334

Submitted On: 30 May 2011 Published On: 23 July 2011

How to Cite: Rani, M., Ul Haq, R. & Sulaiman, N. (2011). Koch Curves: Rewriting System, Geometry and Application. Journal of Computer Science, 7(9), 1330-1334. https://doi.org/10.3844/jcssp.2011.1330.1334

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Keywords

  • Koch curve
  • superior koch curve
  • koch loop
  • rewriting system
  • fractal antenna
  • fractal dimension
  • rewriting rules
  • fundamental mathematical properties
  • natural number
  • superior fractals
  • multi-band characteristics