Carpet Fractal Geometry

For instance subdividing an equilateral triangle.

Carpet fractal geometry.

A dual band antenna using a sierpinski carpet fractal geometry is designed which covers the multiband characteristics of fractals. Sierpinski carpet fractal geometry is used and two iterations were performed and simulated using ie3d software 14. To construct it you cut it into 9 equal sized smaller squares and remove the central smaller square from all squares. Fractal geometry lies within the mathematical branch of measure theory.

This tool lets you set how many cuts to make number of iterations and also set the carpet s width and height. The sierpinsky carpet is a self similar plane fractal structure. Fig 2 the sierpinski carpet has fractal dimension log 8 3 red carpet fractal by titoinou on deviantart. Another is the cantor dust.

This article presents the design and development of a compact broadband shaped aperture coupled carpet fractal antenna with a defected ground structure i shaped slot in the ground for broadband ultra wideband uwb and a multiband characteristics. Fractal carpet pricing ben orlin cartoons september 26 2018 september 4 2018 2 minutes if you enjoy these cartoons and hey who doesn t enjoy a good stephen hawking joke then check out my patreon. The sierpinski carpet has fractal dimension log 8 red carpet fractal by titoinou fractal sierpinski carpet self similar recursive fractal carpet. For optimization simulation have been repeated at various feed positions.

Fractal antenna is widely used due to the following important facts. 3 1 zero iteration the figures 2 3 and 4 show the simulation results of zero iteration. Blog postings for summer 2010 effectively got put on pause while i worked on a new book alt fractals. Very broadband and multiband frequency response that derives from the inherent properties of the fractal geometry of the antenna.

One way that fractals are different from finite geometric figures is the way in which they scale. The sierpiński carpet is a plane fractal first described by wacław sierpiński in 1916. The sequence starts at upper left with the removal of a central square from a three by three grid of black squares. The antenna has overall dimensions of 8 4 cm 5 5 cm 3 2 mm and is fed using aperture coupled feeding mechanism.

By 1918 two french mathematicians pierre fatou and gaston julia though working independently. The square patch resonates at the frequency of. A visual guide to fractal geometry and design isbn 09557706831 preview available on google books. You keep doing it as many times as you want.

The carpet is one generalization of the cantor set to two dimensions.