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Statement of Artistic Beliefs

Dr. BENOIT B MANDELBROT, whilst an IBM Fellow and Visiting Professor at Harvard University, coined the word ‘FRACTAL’ from the Latin ‘FRACTUS’ = ‘broken’ as the name for the Geometry dealing with lines having FRACTIONAL DIMENSIONS: ‘Fractal Geometry’.

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Statement of Artistic Beliefs

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  1. Dr. BENOIT B MANDELBROT,whilst an IBM Fellow and Visiting Professor at Harvard University, coined the word ‘FRACTAL’ from the Latin ‘FRACTUS’ = ‘broken’ as the name for the Geometry dealing with lines having FRACTIONAL DIMENSIONS: ‘Fractal Geometry’. Fractal Geometry may be used to create pictures of natural objects.

  2. A fractional dimension is used to describe how ‘wiggly’ a line is. The edge of a leaf or a tree has a fractal dimension of about 1.3, because it is quite jagged or ‘wiggly’. A smooth line has a dimension of 1. Fractal Geometry contrasts with Euclidean Geometry which is used to create pictures having smooth edges, such as circles, cones and rectangles.

  3. Statement of Artistic Beliefs To me, the essence of art is that the viewer should feel emotionally moved - and ideally happier - after looking at any work of art.

  4. Impressionist paintings usually fulfil that criterion - which explains their ceaseless popularity. Just as Impressionism added to our culture in the 19th century, so Fractal Art is an addition to our 20th Century culture. Both were enabled by new technology. Fractal Art could never have happened before in the history of mankind.

  5. THE FAMOUS MANDELBROT SET is the black area of the picture shown. It was first seen on a computer in 1980 by Dr. BENOIT MANDELBROT, whilst an IBM Fellow and Visiting Professor at Harvard University.

  6. Dr Mandelbrot's famous set is created by iterating the complex quadratic equation Znew = Zold2 + C, where C & Z are complex numbers having two components x and iy, until the magnitude of Z is 2. The number of iterations is used to colour of the pixel C points at.

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