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Rectangular and Orthogonal Floorplans with Required Room Areas and Tree Adjacency

Author

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  • I Rinsma

    (Mathematics Department, University of Canterbury, Christchurch 1, New Zealand)

Abstract

A rectangular floorplan can always be found to satisfy area requirements for each room and adjacencies between rooms represented by a given tree, T . The branching index and embedding index of a tree are defined. If, further, each room is required to be external, then the existence of a rectangular floorplan is dependent upon the embedding index of T . Orthogonal floorplans in which each room is rectangular or L-shaped are always possible under the same conditions. Extensions to some other nonrectangular floorplans are given.

Suggested Citation

  • I Rinsma, 1988. "Rectangular and Orthogonal Floorplans with Required Room Areas and Tree Adjacency," Environment and Planning B, , vol. 15(1), pages 111-118, March.
    • Handle: RePEc:sae:envirb:v:15:y:1988:i:1:p:111-118
    DOI: 10.1068/b150111
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