Cancer researchers are investigating a new tool to use for the prognosis of breast cancer in patients. The scientists are using fractal dimension analysis to quantitatively assess the degree of ...

Back in the 1920s, Theodor Kaluza and Oskar Klein developed an idea that unified Maxwell’s theory of electromagnetism with Einstein’s theory of relativity. That was an impressive feat but it had one ...

Alternate dimensions aren’t outside our everyday experience. In fact, we can use exotic dimensions, like fractional dimensions, to measure things as common as coastlines. Find out about the Hausdorff ...

People most often see fractals in the familiar, irregular branching shapes of nature -- a leaf, or tree, or snowflake. A repeating pattern of ever-smaller branches gives these structures a unique ...

Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

A particular fractal, called Menger’s Sponge, is all about surface appearances. It’s a purely theoretical shape that has infinite surface area and no volume whatsoever. And because of that, it doesn’t ...