7.4: Fractals - Mathematics LibreTexts
WEBSep 12, 2020 · Fractals are mathematical sets, usually obtained through recursion, that exhibit interesting dimensional properties. We’ll explore what that sentence means through the rest of this section. For now, we can begin with the idea of self-similarity, a …
Fractals | Brilliant Math & Science Wiki
Fractals - Interactive Mathematics
Fractals – Mathigon
WEBIn mathematics, we call this property self-similarity, and shapes that have it are called fractals. They are some of the most beautiful and most bizarre objects in all of mathematics. To create our own fractals, we have to start …
Fractal - Wikipedia
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also kno…
Wikipedia · Text under CC-BY-SA licenseFractal Basics | Mathematics for the Liberal Arts
WEBFractal Basics | Mathematics for the Liberal Arts. Learning Outcomes. Define and identify self-similarity in geometric shapes, plants, and geological formations. Generate a fractal shape given an initiator and a …
WEBThe great value of fractals for education is that they make abstract math visual. When people see the intricate and beautiful patterns produced by equations, they lose their fear …
Chapter 1 - FRACTALS IN NATURE - Fractal Foundation
WEBA cube, a sphere, and a cone are all simple 3-Dimensional objects. Circles, squares, triangles and other polygons are 2-Dimensional objects. Even simpler still is a line, which is 1-Dimensional. The simplest of all is an …
Mathematics of Fractal Dimension - Duke University
WEBD = log (N)/log (S). This is the formula to use for computing the fractal dimension of any strictly self-similar fractals. The dimension is a measure of how completely these fractals …
Chapter 1 - FRACTALS IN NATURE - Fractal Foundation
WEBFrom the Simple to the Complex. In this chapter, you will learn the algebraic equation that generates the Mandelbrot Set. In order to understand how the equation creates the beautiful images, we will need to understand the …
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