(mathematics) Having the form of a fractal; having to do with fractals.
Used in a Sentence
fractal
Definitions, parts of speech, synonyms, and sentence examples for fractal.
Editorial note
I wonder if there's some sort of fractal rendering procedure like zooming/rotating/viewing, that could be turing complete with a given fractal.
Examples14
Definitions4
Parts of speech2
Quick take
(mathematics) Having the form of a fractal; having to do with fractals.
Meaning at a glance
The clearest senses and uses of fractal gathered in one view.
(by extension, sometimes figurative) Exhibiting a fractal-like property.
(mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity.
Definitions
Core meanings and parts of speech for fractal.
adjective
(mathematics) Having the form of a fractal; having to do with fractals.
adjective
(by extension, sometimes figurative) Exhibiting a fractal-like property.
noun
(mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity.
noun
(by extension) An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
Example sentences
I wonder if there's some sort of fractal rendering procedure like zooming/rotating/viewing, that could be turing complete with a given fractal.
The result is that we're an extension of a fractal finger.
There is a sereneness here that is a fresh of breath air, much different than the imposing fractal figures.
End result is something akin to zooming in on a fractal, and finding ever new ones.
Color theory is a fractal and the deeper you go the more convolutions you find.
This isn't just a mathematical curiosity; real life coastlines are fractal and have no well-defined length, as the parent poster's link explains.
Blit is about a fractal neuro-brain hack that kills people who see it.
A fractal theory could explain why we keep getting different results when measuring reality in different ways.
It was almost fractal, but also immediately clear and simple to use.
The Mandelbrot set (the image on the right) is a famous example of a fractal, a mathematical shape that gets more detailed the more you zoom in.
It's a fractal post; it repeats itself endlessly.
It would make such a beautiful dependency fractal.
Quote examples
Images generated by DeepDream have surprising amounts of "ordered randomness" in comparison to fractal-based images.
As the scale varies, the "zoom" feature very nicely allows the viewer to appreciate the fractal nature of the numerical order.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use fractal in a sentence?
I wonder if there's some sort of fractal rendering procedure like zooming/rotating/viewing, that could be turing complete with a given fractal.
What does fractal mean?
(mathematics) Having the form of a fractal; having to do with fractals.
What part of speech is fractal?
fractal is commonly used as adjective, noun.