Fractal structure produces fractal electrons with fractal energies ... A line is 1D, a square is 2D, and a cube is 3D: dimensions come in integer quantities. Except they don't.

We see then that a fractal is composed of infinitely many pieces, all of which look the same. Some fractals are mundane, like a solid square (you can cut it up into 4 smaller squares and each of these ...

The sum of Sierpiński’s achievements is nothing short of awe-inspiring. His pioneering work on fractals in the 1910s includes not only the Sierpiński triangle but also the Sierpiński carpet, a square ...

But Fractal Antenna Systems’ Nathan Cohen knows exactly what they are: fractal screens. “Built of RF reflective paint, ... such as a filled-in square.

But fractals aren’t easy to understand. Benoit Mandelbrot, who coined the term fractal in 1975, summed them up as “beautiful, damn hard, and increasingly useful. ...