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.

Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is …

Oct 31, 2023 · Unconventional 20th-century mathematician Benoit Mandelbrot created the term "fractal" from the Latin word "fractus" (meaning irregular or fragmented) in 1975. You can find this type of …

Jan 29, 2024 · Fractal is a pattern that never ends. It elaborates mathematical constructs that exhibit self-similarity, meaning they display similar patterns or structures when zoomed in or out.

Nov 7, 2025 · 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.

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.

The meaning of FRACTAL is any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the …

3 days ago · 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 …

A tutorial on basic fractal geometry and a panorama of uses of fractals, with supporting software, laboratory exercises, and resources for teachers

A 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.

Jul 23, 2025 · What Are Fractals? A fractal is a complex geometric shape that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as self-similarity. Fractals …

May 12, 2016 · Here are the basics. What Is a Fractal? A fractal is a mathematical equation that displays a repeating pattern, no matter what scale you examine it. It can also be described as a pattern of …

What is a Fractal? A fractal is a mathematical structure with endless detail and self-similarity as you zoom in. They have swirled and crinkled structures that are so infinitely complex that they have a …

Dec 11, 2012 · In 1861, the discovery of the world’s first fractal sent shockwaves through the mathematical community. If you pick up a pen and doodle a zig-zag, you should end up with a …

Jun 14, 2025 · Fractals are self-similar geometric figures where a pattern of shapes is repeated infinitely. The word "fractal" is short for "fractional dimensional." The dimensional number of a fractal is not an …

Fractals have a pattern that we see again after zooming in. Many things in the real world are like fractals: trees, shorelines, broccoli, lungs, ocean surface, etc. (Note: the name "fractal" comes from …

Fractals are the pictures of Chaos Theory, the study of unpredictable, dynamic systems. We will use fractals to learn the fundamental lesson of Chaos Theory, that small changes can lead to big …

A fractal is any pattern, that when seen as an image, produces a picture, which when zoomed into, has infinite detail, sometimes having parts similar to the original image. The word fractal was made by …

A fractal is a pattern that repeats at different scales, and examples are all around us. Technically, we call shapes like this "Self-Similar" because a little piece of the shape looks similar to itself.

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Nov 26, 2024 · In mathematics, a fractal is a mathematical set defined by its self-similarity, meaning its structure doesn’t change under magnification. Exact self-similarity only appears in purely …

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