Theory of Carry Value Transformation (CVT) and itas Application in Fractal formation

Sk. Sarif Hassan; Dr. Pabitra Pal Choudhury

Theory of Carry Value Transformation (CVT) and itas Application in Fractal formation

Sk. Sarif Hassan * § PhD, Assistant Professor in Mathematics

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Dr. Pabitra Pal Choudhury

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Indian Statistical Institute, Kolkata, India

Theory of Carry Value Transformation (CVT) and itas Application in Fractal formation

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Abstract

In this paper the theory of Carry Value Transformation (CVT) is designed and developed on a pair of n-bit strings and is used to produce many interesting patterns. One of them is found to be a self-similar fractal whose dimension is same as the dimension of the Sierpinski triangle. Different construction procedures like L-system, Cellular Automata rule, Tilling for this fractal are obtained which signifies that like other tools CVT can also be used for the formation of selfsimilar fractals. It is shown that CVT can be used for the production of periodic as well as chaotic patterns. Also, the analytical and algebraic properties of CVT are discussed. The definition of CVT in two-dimension is slightly modified and its mathematical properties are highlighted. Finally, the extension of CVT and modified CVT (MCVT) are done in higher dimensions.

References

13 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Sk. Sarif Hassan, Dr. Pabitra Pal Choudhury. 1970. "Theory of Carry Value Transformation (CVT) and itas Application in Fractal formation". Global Journal of Computer Science and Technology GJCST Volume 10 (GJCST Volume 10 Issue 14).

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GJCST Volume 10 Issue 14

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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

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Classification

GJCST Classification G.1.2

Submission ReceivedFebruary 3, 2010
Peer Review Double Blind
Handling Editor
Accepted March 5, 2010
Published March 15, 2010

Version of record

v1.2

Issue date

October 14, 2010

Language

English

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Article Matrices

Total Score: 194

Country: Switzerland

Subject: Global Journal of Computer Science and Technology

Authors: Dr. Pabitra Pal Choudhury, Birendra Kumar Nayak, Sudhakar Sahoo, Sk. Sarif Hassan (PhD/Dr. count: 1)

View Count (all-time): 143

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Publish Date: 2010 03, Mon

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Total Views: 5.7K

Total Downloads: 376

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