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Distance Measures over Polyomino Populations

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  • R Matela
  • Ellin O'Hare

Abstract

This paper presents a statistical survey of distance measures over n -omino populations for n ≤ 9. Three metrics are considered and compared: one Euclidean and two nonEuclidean metrics—taxicab and graph. The measures are taken at three levels of aggregation: intercellular, aggregate, and total for each polyomino. Statistics are given for each population group, and some cross-metric comparisons are made between the population groups. The paper concludes with a comment on the relevance of this kind of study to architectural and urban design.

Suggested Citation

  • R Matela & Ellin O'Hare, 1976. "Distance Measures over Polyomino Populations," Environment and Planning B, , vol. 3(1), pages 111-131, June.
  • Handle: RePEc:sae:envirb:v:3:y:1976:i:1:p:111-131
    DOI: 10.1068/b030111
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