Chaos theory is the field of study in mathematics that studies the behavior of dynamical systems that are highly sensitive to initial conditions - a response popularly referred to as the butterfly effect.
Math Behind the Beauty - Fractals have been around forever but were only defined in the last quarter of the 20th century. Can you wrap your brain around how fractals work?
Fractal geometry is a field of maths born in the 1970's and mainly developed by Benoit Mandelbrot. If you've already heard of fractals, you've probably seen the picture below. It's called the Mandelbrot Set and is an example of a fractal shape.
Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still images, animations, and media.
Fractals are some of the most beautiful and most bizarre geometric shapes. They look the same at various different scales - you can take a small extract of the shape and it looks the same as the entire shape. This curious property is called self-similarity.
A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry.
Chaos theory is the field of study in mathematics that studies the behavior of dynamical systems that are highly sensitive to initial conditions - a response popularly referred to as the butterfly effect.
Math Behind the Beauty - Fractals have been around forever but were only defined in the last quarter of the 20th century. Can you wrap your brain around how fractals work?
Fractal geometry is a field of maths born in the 1970's and mainly developed by Benoit Mandelbrot. If you've already heard of fractals, you've probably seen the picture below. It's called the Mandelbrot Set and is an example of a fractal shape.
Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still images, animations, and media.
Fractals are some of the most beautiful and most bizarre geometric shapes. They look the same at various different scales - you can take a small extract of the shape and it looks the same as the entire shape. This curious property is called self-similarity.
A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale. It is also known as expanding symmetry or evolving symmetry.