These allowed energy levels (black dots) form a rare example of a quantum fractal known as "Hofstadter's butterfly", which shows self-repeating features on different scales. This plot shows how ...

In a discovery that brings a legendary quantum theory to life, physicists at Princeton University have directly observed ...

At any given point on this curve, you can draw a “tangent” line ... strange objects (it’s one of the earliest examples of a fractal), wild behaviors. “There’s a whole universe of ...

By proving a broader version of Hilbert’s famous 10th problem, two groups of mathematicians have expanded the realm of ...

Innovative dispersions leverage HydroGraph’s high-purity graphene technology to enhance electrode conductivityTORONTO, March 18, 2025 (GLOBE ...

The model is essentially a graph of edges and nodes ... about why does it have the fractal-like appearance of a tree? How much can we say about the characteristics of the motion?

Amid Rajabi teaches you how to create atmospheric robotic strands with Maya’s Bifrost plugin, with help from Arnold and Nuke.

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Fractals are self-repeating patterns that occur on different length scales and can be seen in nature in a variety of settings, including snowflakes, ferns, and coastlines.