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Introduction to generic rectangular floor plans

Published online by Cambridge University Press:  30 May 2018

Krishnendra Shekhawat Open the ORCID record for Krishnendra Shekhawat [Opens in a new window]  and
José P. Duarte
Krishnendra Shekhawat*
Affiliation:
BITS, Pilani Department of Mathematics, Pilani Campus, India
José P. Duarte
Affiliation:
SCDC, School of Architecture and Landscape Architecture, The Pennsylvania State University, USA
*
Author for correspondence: Krishnendra Shekhawat, E-mail: krishnendra.iitd@gmail.com
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Abstract

An important task in the initial stages of most architectural design processes is the design of planar floor plans, that are composed of non-overlapping rooms divided from each other by walls while satisfying given topological and dimensional constraints. The work described in this paper is part of a larger research aimed at developing the mathematical theory for examining the feasibility of given topological constraints and providing a generic floor plan solution for all possible design briefs.

In this paper, we mathematically describe universal (or generic) rectangular floor plans with n rooms, that is, the floor plans that topologically contain all possible rectangular floor plans with n rooms. Then, we present a graph-theoretical approach for enumerating generic rectangular floor plans upto nine rooms. At the end, we demonstrate the transformation of generic floor plans into a floor plan corresponding to a given graph.

Keywords

Adjacencyarchitectural designdegree sequencegraphtheory rectangular dual
Type
Research Article
Information
AI EDAM , Volume 32 , Issue 3 , August 2018 , pp. 331 - 350
Copyright
Copyright © Cambridge University Press 2018 

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