The Golden Ratio in Nature: A Tour across Length Scales

Spatial variation in adult sex ratio across multiple scales in the invasive golden apple snail, Pomacea canaliculata.

Adult sex ratio (ASR) has critical effects on behavior and life history and has implications for population demography, including the invasiveness of introduced species. ASR exhibits immense variation in nature, yet the scale dependence of this variation is rarely analyzed. In this study, using the generalized multilevel models, we investigated the variation in ASR across multiple nested spatia...

Epitaxial Nanostructures across Length and Time Scales

A phenomenological description of BslA assemblies across multiple length scales

Intrinsically interfacially active proteins have garnered considerable interest recently owing to their potential use in a range of materials applications. Notably, the fungal hydrophobins are known to form robust and well-organized surface layers with high mechanical strength. Recently, it was shown that the bacterial biofilm protein BslA also forms highly elastic surface layers at interfaces....

ThE gOlDEN raTIO PrEDIcTED: VISION, cOgNITION aND lOcOmOTION aS a SINglE DESIgN IN NaTurE

Shapes with length/height ratios (l/h) close to 3/2 are everywhere and give the impression that they are being ‘designed’ to match the golden ratio (φ = 1.618). here I show that these shapes emerge as part of an evolutionary phenomenon that facilitates the flow of information from the plane to the brain, in accordance with the constructal law of generation and evolution of design in nature. The...

Golden Ratio: A Photogrammetric Study

MATERIAL AND METHODS