From a GOLDEN RECTANGLE to GOLDEN QUADRILATERALS and Beyond

This article continues the investigation started by the author in the March 2017 issue of At Right Angles, available at: http://teachersofindia.org/en/ ebook/golden-rectangle-golden-quadrilaterals-and-beyond-1 The focus of the paper is on constructively defining various golden quadrilaterals analogously to the famous golden rectangle so that they exhibit some aspects of the golden ratio phi. Constructive defining refers to the defining of new objects by modifying or extending known definitions or properties of existing objects. In the first part of the paper in De Villiers (2017), different possible definitions were proposed for the golden rectangle, golden rhombus and golden parallelogram, and they were compared in terms of their properties as well as ‘visual appeal’.

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