Taking the V-day bait, let's ask, "How are geeks spending their supposedly solitary Valentine's Days?" If they are into all that sweet mathematical physics action, they may be envisioning attractors.

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

Can we find order in chaos? Physicists have shown, for the first time that chaotic systems can synchronize due to stable structures that emerge from chaotic activity. These structures are known as ...

Nature has revealed peculiar mathematical objects that connect order and chaos. What struck John Learned about the blinking of KIC 5520878, a bluish-white star 16,000 light-years away, was how ...

Chaos theory explains why some phenomena are unpredictable even though the phenomena are described by mathematical equations that are known perfectly well. For example, the weather seems impossible to ...

The symbolic language of mathematics can be beautiful—but even more striking are some of the patterns and forms that arise from the visual representation of math. The power of mathematical images ...

The purpose of this project was to implement Fractal Image Compression, as described by Yuval Fisher in his book Fractal Image Compression: Theory And Application. In chapter 1.4 of his book, Dr.