![]() ![]() One way that fractals are different from finite geometric figures is how they scale. Fractal geometry lies within the mathematical branch of measure theory. Fractals often exhibit similar patterns at increasingly smaller scales, a property called self-similarity, also known as expanding symmetry or unfolding symmetry if this replication is exactly the same at every scale, as in the Menger sponge, it is called affine self-similar. ![]() Fractals appear the same at different scales, as illustrated in successive magnifications of the Mandelbrot set. In mathematics, a fractal is a subset of Euclidean space with a fractal dimension that strictly exceeds its topological dimension.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |