The golden ratio — an exact 'magic' number often claimed to be observed when taking ratios of distances in ancient and modern architecture, sculpture and painting — has been spotted in a ...

Golden ratio discovered in quantum world: Hidden symmetry observed for the first time in solid state matter. ScienceDaily . Retrieved June 3, 2025 from www.sciencedaily.com / releases / 2010 / 01 ...

image: The magnetic field is used to tune the chains of spins to a quantum critical state. The resonant modes ... which is the golden ratio famous from art and architecture." ...

Magnetic vortex dynamics in thin films is characterized by gyrotropic motion, the sense of gyration depending on the vortex core polarity, which reverses when a critical velocity is reached.

Posted: January 7, 2010: Golden ratio discovered on the nanoscale (Nanowerk News) Researchers from the Helmholtz-Zentrum Berlin für Materialien und Energie (HZB), in cooperation with colleagues from ...

The shell of the nautilus, in particular, can be better described as having a spiral that expands by the golden ratio every 180 degrees. And even this is still an approximation.

Magnetic vortex structures, so-called skyrmions, could in future store and process information very efficiently. They could also be the basis for high-frequency components. For the first time, a ...