An example of constructive defining: from a golden rectangle to golden QUADRILATERALS and beyond

DE VILLIERS, MICHAEL (2017) An example of constructive defining: from a golden rectangle to golden QUADRILATERALS and beyond. At Right Angles, 6 (2). pp. 74-81.

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Abstract

This article continues the investigation started by the author in the March MICHAEL DE VILLIERS 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’. In this part of the paper, we shall first look at possible definitions for a golden isosceles trapezium as well as a golden kite, and later, at a possible definition for a golden hexagon.

Item Type: Articles in APF Magazines
Uncontrolled Keywords: Golden ratio, golden isosceles trapezium, golden kite, golden hexagon, golden triangle, golden rectangle, golden parallelogram, golden rhombus, constructive defining
Subjects: Natural Sciences
Natural Sciences > Mathematics
Divisions: Azim Premji University > University publications > At Right Angles
Depositing User: Mr. Sachin Tirlapur
Date Deposited: 15 Sep 2018 10:24
Last Modified: 15 Sep 2018 10:24
URI: http://publications.azimpremjifoundation.org/id/eprint/1344
Publisher URL: http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-...

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