Fractal Dimension

Fractal dimension is a mathematical concept used to describe the complexity of shapes that are self-similar and irregular, like coastlines or snowflakes. Unlike traditional dimensions, which are whole numbers (0 for a point, 1 for a line, 2 for a square), fractal dimensions can be non-integer. This means they can capture how a shape fills space in a more nuanced way. For instance, a coastline might be more complex than a simple line, showing that as you look closer and closer, you find more detail. Fractal dimensions help scientists understand patterns in nature and various phenomena.