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A Mathematical Approach for Generating a Floor Plan for Given Adjacency Requirements

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dc.contributor.author Shekhawat, Krishnendra
dc.date.accessioned 2023-08-10T10:39:32Z
dc.date.available 2023-08-10T10:39:32Z
dc.date.issued 2022-02
dc.identifier.uri https://link.springer.com/chapter/10.1007/978-3-030-90625-2_14
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11302
dc.description.abstract One of the preliminary steps in designing architectural floor plans is to build floor plans for a given adjacency graph. Here, we present a mathematical procedure for enumerating maximal rectangular floor plans that would address the following two purposes: i. Provides a catalogue of maximal rectangular floor plans, which can be seen as a super set of all possible rectangular floor plans, ii. Maximal rectangular floor plans can be used to generate floor plans for the adjacency requirements for which rectangular floor plans do not exist. Hence, in this paper, we present an algorithmic approach for producing a floor plan corresponding to any adjacency requirements provided by the user/architect/designer. This work aims to build a computerized system to generate floor plans, i.e., we aspire to provide design tools to architects for generating feasible layouts that can be further adjusted or modified. en_US
dc.language.iso en en_US
dc.publisher Springer en_US
dc.subject Mathematics en_US
dc.subject Floor plan en_US
dc.title A Mathematical Approach for Generating a Floor Plan for Given Adjacency Requirements en_US
dc.type Book chapter en_US


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