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Fractals in Architecture: Some Examples

Nicoletta Melida Sala

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Abstract

The fractal geometry is quite young (the first studies are the works of G. Julia at the beginning of this century) but, only with the mathematical power of computers it is become possible to obtain the beautiful and colourful images derived by the arid formulas. Benoit Mandelbrot was largely responsible for the present interest in Fractal Geometry. He coined the word “fractal” in the late 1970’s, but object now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot showed how Fractals can occur in many different places in both Mathematics and elsewhere in Nature. A fractal object is self - similar in that subsections of the object are similar in some sense to the whole object. Fractals gained popularity very quickly once computers were able to display amusing complex sets ruled by fractal geometry. This paper investigates on some relationships between architecture and fractals theory. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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What this paper is about

The fractal geometry is quite young (the first studies are the works of G. Julia at the beginning of this century) but, only with the mathematical power of computers it is become possible to obtain the beautiful and colourful images derived by the arid formulas. Benoit Mandelbrot was largely responsible for the present interest in Fractal Geometry. He coined the word “fractal” in the late 1970’s, but object now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot showed how Fractals can occur in many different places in both Mathematics and elsewhere in Nature. A fractal object is self - similar in that subsections of the object are similar in some sense to the whole object. Fractals gained popularity very quickly once computers were able to display amusing complex sets ruled by fractal geometry. This paper investigates on some relationships between architecture and fractals theory. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Available abstract

The fractal geometry is quite young (the first studies are the works of G. Julia at the beginning of this century) but, only with the mathematical power of computers it is become possible to obtain the beautiful and colourful images derived by the arid formulas. Benoit Mandelbrot was largely responsible for the present interest in Fractal Geometry. He coined the word “fractal” in the late 1970’s, but object now defined as fractal in form have been known to artists and mathematicians for centuries. Mandelbrot showed how Fractals can occur in many different places in both Mathematics and elsewhere in Nature. A fractal object is self - similar in that subsections of the object are similar in some sense to the whole object. Fractals gained popularity very quickly once computers were able to display amusing complex sets ruled by fractal geometry. This paper investigates on some relationships between architecture and fractals theory. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Mandelbrot set, Fractal, Object (grammar), Popularity, Architecture, Geometry, Mathematics, Computer science

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