What is it?
All these beautiful images are called Fractals.
First modern fractal was found by Benoit Mandelbrot in 1978.
However, first person attracted by the idea of infinite self-similarity was Gottfried Leibniz in 17th century.
These are beautiful mathematical object with unbelievably fine details.
They can be coloured by using many different ways. I have chosen the finest one.
This method of colouring was firstly described by Melinda Green in 1993.
Why does it look so differently?
It is more than a curve but still less than an area.
From our everyday lives, we are used to objects that have some nice integer dimension.
For example, the 2D photos or 3D object. But fractals are somewhere in between – they have non-integer dimension.
Their fine structures are intertwining and following each other.
Theoretically, they can be extended up to infinity and thanks to that we can still explore new and new details.
This is just mathematically very demanding.