Fractal (Noun)
Meaning
(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The Mandelbrot set is a notable example of a fractal, its border exhibiting infinite complexity and self-similarity.
- The intricate patterns found in a snowflake are due to its fractal nature, repeating at every scale.
- Fractals are abundant in nature, appearing in the branching patterns of trees, the flow of rivers, and the structure of mountains.
- The Sierpinski triangle is a well-known fractal, generated by removing triangles from a larger equilateral triangle.
- Fractals are studied extensively in mathematics for their unique properties and the insights they provide into chaotic systems and complexity.