1. The Beauty of Fractals What is a Fractal? A geometric figure or natural object that combines the following characteristics:- a) Its parts have the same essential form or structure as the whole, except that they are at a different scale and may be slightly deformed. Thus "Fractal Repetition" of pattern and shape. b) Its form is extremely irregular or fragmented, and remains so, whatever the scale of examination. Consider the leaf of the fern as a good example. c) It contains "distinct elements" whose scales are almost infinitely varied and cover a large range. Generation of fractal images employs the usage of mathematical expressions, these often being trigonometric in type, or polynomials and quadratics - containing numerous adjustable variables. There is then performed a sequence of many iterations during which the shapes are ''built'' and colors are introduced by further math' and color filters - these in fact giving a large degree of control to the finished image form, and not just color. In some instances the generated fractal may be enhanced by use of image editing software to add extra material or just make small changes. This display does suffer some loss of resolution due to image compression. Click to continue The displayed fractal images (landscape format) here are the intellectual copyright property of ACB Systems. We hope you will enjoy them. Click to continue ---ACB Systems

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