Fractal Geometry: Mathematical Methods, Algorithms and Applications

Ever since Mandelbrot published his seminal work, The fractal geometry of nature, in the 1980s, [1] interest in possible applications of fractal geometry have grown. Whereas classical geometry deals with objects of integer dimensions (such as zero dimensional points, one dimensional lines and curves, two dimensional plane figures like squares and circles, and three dimensional solids such as cubes and spheres), fractal geometry covers non- integer dimensions, including mathematical structures like the Sierpinski triangle, Koch snowflake and Peano curve.