ABSTRACT

Indian traditional architectural practice ‘Vastusastra’ (Vāstuśāstra) recommends some particular ratios as auspicious for the proportioning of domestic buildings. Similar ratios are found in some ancient buildings belonging to the classical ages in other parts of the world. Recent studies conducted by Dhileep, Kottuppillil, and Kurian [2019. “Orientation and Proportion in Indian Traditional Domestic Architecture.” Interdisciplinary Science Reviews 44 (1): 97–109], show that the square and the rectangle formed by the basic auspicious ratio (breadth:length) are geometrically related to a circle with a diameter equal to the length of the rectangle. The mathematical aspects behind these geometrical relationships and other ratio groups given in ‘Vastusastra’ (Vāstuśāstra) are investigated in this paper. The study reveals that the auspicious ratios help to convert the area of a circle to a rectangle and vice versa, without any loss in accuracy, while using the methods of their age. The traditional social practices are incorporated into these ratios and are modified adequately to fit into the traditional engineering practice.

摘要

印度传统建筑实践 'Vastusastra' (Vāstuśāstra) 推荐了一些特殊的比例，作为家庭建筑比例的吉祥物。在世界其他地区的一些属于古典时代的古建筑中也发现了类似的比例。Dhileep、Kottuppillil 和 Kurian [2019 年进行的最新研究。“印度传统家庭建筑的方向和比例。” 跨学科科学评论44（1）：97-109]，表明由基本吉祥比（宽度：长度）形成的正方形和矩形在几何上与直径等于矩形长度的圆有关。本文研究了“Vastusastra”（Vāstuśāstra）中给出的这些几​​何关系和其他比率组背后的数学方面。研究表明，吉祥比有助于将圆的面积转换为矩形，反之亦然，同时使用他们年龄的方法，准确性没有任何损失。传统的社会实践被纳入这些比率，并被适当地修改以适应传统的工程实践。