Design and Analysis of Koch Snowflake Geometry with Enclosing Ring Multiband Patch Antenna Covering S and L Band Applications

Rao, Nukala Srinivasa

doi:10.1007/978-981-15-7486-3_17

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Introduction: Background and Notation1

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2023

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“…Gasket fractals have become a source of inspiration for the design of several digital and physical structures [Gua18,AHHN21,Rao21,FFSS22]. Some of the most popular fractals within this kind are generated by applying an iterated function system (IFS) to a deterministic formulation, such as the Koch snowflake [Koc04], the Sierpinski triangle [Sie15], the T-square [DJW16], the Cantor dust [Can70,Can71], and its two-dimensional and three-dimensional versions: the Sierpinski carpet [Sie16] and the Menger sponge [Edg04], respectively.…”

Section: Introduction: Background and Notationmentioning

confidence: 99%

A New Deterministic Gasket Fractal Based on Ball Sets

Soto-Villalobos¹,

Benavides-Bravo²,

Hueyotl-Zahuantitla³

et al. 2023

Computer Science Research Notes

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In this paper, we propose a new gasket fractal constructed in a deterministic iterated function system (IFS) way by means of interacting ball and square sets in R^2. The gasket consists of the ball sets generated by the IFS, possessing also exact self-similarity. All this leads to a direct deduction of other properties and a clear construction methodology, including a dynamic geometry procedure with an open-source construction protocol. We also develop an extended version of the fractal in R^n. Some resulting configurations consisting of stacked 2D-fractals are plotted. We discuss about potential applications of them in some areas of science, focusing mainly on percolation models. Guidelines for future work are also provided.

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