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
What are Fractals? - Fractal Foundation Fractals are infinitely complex patterns that are self-similar across different scales They are created by repeating a simple process over and over in an ongoing feedback loop
How Fractals Work - HowStuffWorks You can create fractals with mathematical equations and algorithms, but there are also fractals in nature At their most basic, fractals are a visual expression of a repeating pattern or formula that starts out simple and gets progressively more complex
Fractals: Definition and How to Create Them? - GeeksforGeeks Fractals represent complex mathematical objects that have been extensively studied as well as depicted by mathematicians, artists, and scientists because of their repetitive features
Fractals | Brilliant Math Science Wiki So, you might be asking what exactly is a fractal? Well, a fractal, by definition, is a curve or geometric figure, each part of which has the same statistical character as the whole
What a Fractal Is and Why You Should Care Learn what a fractal is and what fractals are good for See examples of natural fractals and artwork made using mathematical equations
Fractal | Mathematics, Nature Art | Britannica Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth They are capable of describing many irregularly shaped objects or spatially nonuniform phenomena in nature such as coastlines and mountain ranges
Fractals in Math - Definition, Types, Examples Fractal geometry deals with complexity and irregularity While on the other hand, traditional Euclidean geometry, deals primarily with simple shapes such as circles, squares, and triangles Fractals have three basic types which are below Now we explain all of them briefly
Fractal -- from Wolfram MathWorld A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales