Puzzle
90cm/56cm (35.4"/22") Digital print
The mathematician Benoît Mandelbrot was the first person
to use a computer to visualize the behaviour of a dynamic
system. In 1975 he introduced the word fractal
(from the Latin fractus, broken) to denote
objects with fractional dimension. His scientific research
built the foundation of fractal geometry – the link between
classical mathematics and the “chaos” of atmospheric turbulence,
biological populations and the stock market. Decades before
fractals were named several mathematicians had studied them –
Weierstrass, Koch, Lévy, Cantor, Poincaré and Julia.
The fractal found by Mandelbrot is called the Mandelbrot set. This is a set of all points in the complex plane, for which the iterative application of a polynomial with an initial value of 0 generates a bounded sequence. In fact, the boundary of the set, which is often drawn in black, is a fractal. The colouring of external points is determined by the speed at which the sequence crosses a preselected limit, beyond which there are no members of the Mandelbrot set.
The fractal found by Mandelbrot is called the Mandelbrot set. This is a set of all points in the complex plane, for which the iterative application of a polynomial with an initial value of 0 generates a bounded sequence. In fact, the boundary of the set, which is often drawn in black, is a fractal. The colouring of external points is determined by the speed at which the sequence crosses a preselected limit, beyond which there are no members of the Mandelbrot set.