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.
Fractals in Math - Definition, Types, & Examples
2024年1月29日 · 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.
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. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos.
Fractals: Definition and How to Create Them? - GeeksforGeeks
2024年8月30日 · A fractal is a complex geometric shape that exhibits self-similarity, meaning its structure looks similar at different scales. Fractals are created by repeating a simple process multiple times and can be found both in nature and in mathematical theory.
How Fractals Work - HowStuffWorks
2023年10月31日 · Fractal geometry enables us to more accurately define and measure the complexity of a shape by quantifying how rough its surface is. You can express the jagged edges of that mountain mathematically.
Fractal | Mathematics, Nature & Art | Britannica
2024年12月6日 · fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in 1918. Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth.
Fractal Geometry
A tutorial on basic fractal geometry and a panorama of uses of fractals, with supporting software, laboratory exercises, and resources for teachers
Fractals – Mathigon
fractal is a geometric shape that has a fractional dimension. Many famous fractals are self-similar, which means that they consist of smaller copies of themselves. Fractals contain patterns at every level of magnification, and they can be created by repeating a procedure or iterating an equation infinitely many times.
Fractals | Brilliant Math & Science Wiki
There are examples of this repeating pattern on every scale in nature, from seashells, crystals, leaves, and feathers to clouds, coastlines, mountains, and spiral galaxies. We will explore these fractal patterns and ways to describe, generate, and measure these shapes.
Fractal - Simple English Wikipedia, the free encyclopedia
A fractal is any pattern, that when seen as an image, produces a picture, which when zoomed into will still make the same picture. It can be cut into parts which look like a smaller version of the picture that was started with.
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