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- W4235751310 abstract "In the familiar Euclidean dimensions of space, the number of independent variables to specify the dynamics of the system gives the dimension. But, one can also define dimensions in a different way. The fractional dimensional objects are called fractals. The chapter presents equations that prove that the fractal dimension of the object is less than the embedding Euclidean dimension. The construction of a fractal object starts from a square. The fractal (self-similar at all length scales) is formed as the generation number goes to infinity. The fractal is formed as the generation number goes to infinity. The chapter also demonstrates the steps of formation of the Sierpinski triangle, where the fractal is formed at infinite step or generation number. Finally, the chapter mentions an example of a fractal object: a Cantor set." @default.
- W4235751310 created "2022-05-12" @default.
- W4235751310 date "2015-05-01" @default.
- W4235751310 modified "2023-10-17" @default.
- W4235751310 title "E Fractals" @default.
- W4235751310 doi "https://doi.org/10.1002/9783527672646.app5" @default.
- W4235751310 hasPublicationYear "2015" @default.
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