but it seems to be a feature of the mathematical landscape.” Try your hand at shaping a two-dimensional fractal into a 3-D polyhedron.

Behold the “Mandelbulb.” This is a three-dimensional image created using the Mandelbrot set, a mathematical structure whose edges form fractals. The result is something that looks like an ...

A group of fractal image makers claim to have made the best three-dimensional portrayal to date of the Mandelbrot set, one of the best-known fractal equations. Yet the path there was not ...

It’s a three-dimensional fractal. The clip is a new music video for the song “Eternal Recurrence” by electronic music group Birds of Paradise, created by Dutch fractal artist Julius Horsthuis.

This is where we encounter fractal dimensions. In our everyday world, a straight line is one-dimensional, a square or rectangle two-dimensional and a cube or sphere three-dimensional. But fractal ...

Mathematicians tend to rank fractal dimensions on a series of scales between 0 and 3. One-dimensional fractals (such as a segmented line) typically rank between 0.1 and 0.9, two-dimensional fractals ...

The discovery was surprising because the fractals were seen in a clean three-dimensional crystal, where they conventionally would not be expected. Even more remarkably, the fractals are visible in ...

The same thing is true for fractals with volume, like this. To a mathematicianologist or whatever, it's more than two dimensional, but not quite three dimensional. Fractals exist in this weird in ...

Simply put, a fractal is a complex geometric object whose dimension is fractional. A line drawn on a piece of paper is one-dimensional, a square is two-dimensional and a solid cube is ...