Fractals are remarkable examples of self-similarity where a structure or dynamic pattern is repeated over multiple spatial or time scales. However, little is known about how fractal stimuli such as ...

A team of scientists from Princeton University has measured the energies of electrons in a new class of quantum materials and has found them to follow a fractal pattern. Fractals are self-repeating ...

Richard Taylor receives funding from The Australian Research Council, The Research Council for Science Advancement, and The WM Keck Foundation. Humans are visual creatures. Objects we call “beautiful” ...

As Sigmund Freud made very clear, human beings are compelled to repeat patterns—the repetition compulsion. Patterns laid down early in life are propelled forward to recreate the familiar that can be ...

There is something we find beautiful about fractals, those curious geometric structures with repeating shapes that seem to go on for infinity (see video below). Perhaps it is because these ...

We've all seen it before. The beautifully painted butterfly that appears when you spread open two sheets of paper, after covering them with paint and pushing them together. The geometrically shaped ...

Randomness is all around you…or so you think. Consider the various shapes of the morning clouds, the jagged points of Colorado’s Rocky Mountains, the twists and turns of England’s coastline and the ...

We find examples of fractals everywhere in nature. Tree branches, snowflakes, river deltas, cloud formations, and more. So it’s natural to ask the ultimate question: is the entire universe one giant ...

Scientists have provided the first experimental evidence for fractal light from simple lasers and add a new prediction, that the fractal light should exist in 3D and not just 2D as previously thought.