Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators, most ...

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 ...

A bacterium has evolved an enzyme that assembles in a fractal structure, a mathematical pattern that repeats itself at smaller scales. Fractal patterns are found throughout nature on large, ...

Nagaland University’s quantum fractal breakthrough spotlights Northeast India in the world of research, aiding India's ...

Over the last half 50 years, fractals have challenged ideas about geometry and pushed math, science and technology into unexpected areas.

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Centuries after Leonardo watched a heart beat, a fresh answer is taking shape. A new wave of imaging, genetics, and computation shows that the fine mesh of muscle lining the heart—called ...