noun
- a geometric shape or pattern that repeats itself at different scales, with each smaller part resembling the whole
Usage: mathematics and geometry; commonly used in computer graphics and nature studies
adjective
- relating to or having the properties of a fractal; self-similar at different scales
Usage: mathematics and geometry
Examples
- The Mandelbrot set is one of the most famous fractals in mathematics.
- Snowflakes often display fractal patterns in their crystalline structure.
- Computer scientists use fractal algorithms to compress images efficiently.
- The coastline of a country can be modeled using fractal geometry.
- Ferns exhibit fractal properties, with smaller branches mirroring the shape of larger ones.
- Artists have created stunning fractal art by zooming into mathematical equations.
- Nature is full of fractal designs, from tree branches to river systems.