Golden angle

Golden angle

Golden angle refers to the rotation angle of 137.5°, which is derived from the mathematical concept of the golden ratio (Ø2). It is used to describe the arrangement of leaves or florets in a spiral pattern, where each element is turned at the golden angle with respect to its neighbor. In advanced solar tree arrangements, the golden angle is used to fix solar panels in different directions, following the Fibonacci pattern.From: Designing Tall Buildings [2019], Learning solar energy inspired by nature: biomimetic engineering cases [2021], Effective solar power harnessing using a few novel solar tree designs and their performance assessment [2019]

Structure of Starch

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Published in Jean-Luc Wertz, Bénédicte Goffin, Starch in the Bioeconomy, 2020

Jean-Luc Wertz, Bénédicte Goffin

Perez et al.53 showed that general rules control the morphogenesis of the hierarchical structures. They considered the occurrence of phyllotaxis-like features that would take place at scales ranging from nano- to micrometers. Based on the Fibonacci golden angle, they derived theoretical models to simulate X-ray and neutron scattering patterns. Among these models, a golden spiral ellipsoid displayed shapes, sizes, and high compactness reminiscent of the blocklet.

Learning solar energy inspired by nature: biomimetic engineering cases

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Published in European Journal of Engineering Education, 2021

J. M. Delgado-Sanchez, I. Lillo-Bravo

The analogy used is well known by the students. It consists of the observation of the florets of a sunflower: small flowers at the centre of the petals, which mature into seeds, are arranged in a stunning spiral fashion that has impressed mathematicians for years. The arrangement, a form of Fermat spiral, has each floret turned at a golden angle, about 137 degrees, with respect to its neighbour. Observing the position of any small flower, it is discovered that they are located according to the Fibonacci Metric: each entry is the sum of the preceding two (Noone, Torrilhon, and Mitsos 2012).

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Structure of Starch

Learning solar energy inspired by nature: biomimetic engineering cases