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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/11288
Title: Why golden rectangle is used so often by architects: A mathematical approach
Authors: Shekhawat, Krishnendra
Keywords: Mathematics
Algorithm
Architectural design
Connectivity
Fibonacci rectangle
Floor plan
Golden rectangle
Issue Date: Jun-2015
Publisher: Elsevier
Abstract: It is often found in the literature that many researchers have studied or documented the use of golden rectangle or Fibonacci rectangle in architectural design. In this way, a lot of well-known architects in the history, knowingly or unknowingly, have employed either the golden rectangle or the Fibonacci rectangle in their works. Using some mathematical tools, this paper tried to approach one of the properties of the golden rectangle (or the Fibonacci rectangle) and its significance to architectural design, which could lead to state one hypothesis about why architects have used them so often. This work begins with an algorithm which constructs a Fibonacci rectangle and a golden rectangle. Then adjacency among the squares (which are arranged inside them) is defined, by considering each square as a room or an architectural space. At the end, using some tools of the graph theory, it has been proved that they are one of the best arrangements of squares (or rectangles) inside a rectangle, from the point of view of connectivity.
URI: https://www.sciencedirect.com/science/article/pii/S1110016815000265
http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11288
Appears in Collections:Department of Mathematics

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