But, as with many things in math, one of the earliest foundational studies of what would be later described as fractals came from a surprisingly difficult question: How long is the coastline of ...
you derive the fractals. This idea of visualisation from Mandelbrot, who would have turned 100 this month, led mathematicians to accept the role of pictures in experimental mathematics.
Born in Warsaw, Poland, in 1924, the improbably named Benoît B Mandelbröt – the ”B” stands for a non-existent middle name – would be so important to the story of fractal geometry that he pretty ...
What do spiders’ webs, snowflakes and snail shells have in common? They all contain fractals: Nature’s exquisite, endlessly ...
fractals, substitutions). The writing is clear and there are exercises of varying difficulty. A fine undergraduate text, which will also be of interest to graduate students and researchers in dynamics ...
it emphasizes the mathematical beauty of fractals. The background expected of the reader varies from paper to paper, but is generally that of an undergraduate mathematics major. Summing up: ...
At the unveiling ceremony Sir Leszek Borysiewicz, vice-chancellor of Cambridge University, pointed out that the fractal was so ahead of its time that ‘[the Sierpiński triangle] is only seeing its true ...