Windows and Floor Plans

J A Lynes
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J A Lynes: School of Architecture, Plymouth Polytechnic, Palace Court, Plymouth, PL4 0EX

Environment and Planning B, 1977, vol. 4, issue 1, 51-55

Abstract: This note discusses a relationship between planning requirements which simultaneously demand that rooms satisfy some set of adjacencies and that all rooms overlook the surroundings. It is shown that if, and only if, the adjacency graph contains nonouterplanar subgraphs K 4 or K 2,3 (or homeomorphic graphs to these with five or more vertices), no plan can be found to satisfy both requirements. If and only if the adjacency graph is outerplanar may all rooms have windows overlooking the surroundings. The connection between Kuratowski's planarity conditions and the tests for outerplanarity are demonstrated.

Date: 1977
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:4:y:1977:i:1:p:51-55

DOI: 10.1068/b040051

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