An Introduction to Fractals Geometry

Ritu Ahuja

doi:https://doi.org/10.14445/22315373/IJMTT-V52P593

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 10 | Year 2017 | Article Id. IJMTT-V52P593 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P593

An Introduction to Fractals Geometry

Ritu Ahuja

Citation :

Ritu Ahuja, "An Introduction to Fractals Geometry," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 10, pp. 645-648, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P593

Abstract

Fractals were first formally defined by Bonoit Manderbolt in 1980’s. A fractal is defined as a rough or fragmented geometric shape that can be subdivided in parts each being a reduced size copy of the whole. Fractals are self-similar across different scales. Mathematically, they are sets obtained through recursion that exhibit interesting dimensional properties. Fractal patterns with various degrees of self-similarity have been studied in images, structures and sounds and found in nature, technology and architecture. They are of particular importance in chaos theory as the graphs of most chaotic processes are fractals. Fractal dimension is used to measure the complexity of objects. The paper overviews the fractals, principles underlying their generation and fractal dimensions.

Keywords

self-similar, dimension, recursion

References

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