Carpet Fractal Geometry

For optimization simulation have been repeated at various feed positions.

Carpet fractal geometry.

A dual band antenna using a sierpinski carpet fractal geometry is designed which covers the multiband characteristics of fractals. Fractal antenna is widely used due to the following important facts. The sequence starts at upper left with the removal of a central square from a three by three grid of black squares. The sierpiński carpet is a plane fractal first described by wacław sierpiński in 1916.

The square patch resonates at the frequency of. One way that fractals are different from finite geometric figures is the way in which they scale. Sierpinski carpet fractal geometry is used and two iterations were performed and simulated using ie3d software 14. 3 1 zero iteration the figures 2 3 and 4 show the simulation results of zero iteration.

Fig 2 the sierpinski carpet has fractal dimension log 8 3 red carpet fractal by titoinou on deviantart. To construct it you cut it into 9 equal sized smaller squares and remove the central smaller square from all squares. The sierpinski carpet has fractal dimension log 8 red carpet fractal by titoinou fractal sierpinski carpet self similar recursive fractal carpet. The antenna has overall dimensions of 8 4 cm 5 5 cm 3 2 mm and is fed using aperture coupled feeding mechanism.

Blog postings for summer 2010 effectively got put on pause while i worked on a new book alt fractals. For instance subdividing an equilateral triangle. Fractal geometry lies within the mathematical branch of measure theory. From now on any fractal related blogposts will go to the new dedicated alt fractals blog.

A visual guide to fractal geometry and design isbn 09557706831 preview available on google books. The sierpinsky carpet is a self similar plane fractal structure. 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. The technique of subdividing a shape into smaller copies of itself removing one or more copies and continuing recursively can be extended to other shapes.

Another is the cantor dust. By 1918 two french mathematicians pierre fatou and gaston julia though working independently. The carpet is one generalization of the cantor set to two dimensions. This tool lets you set how many cuts to make number of iterations and also set the carpet s width and height.

You keep doing it as many times as you want.