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The Use of Linear Fractional Transformations to Produce Building Plans

Nexus Network Journal volume 10, pages 331–342 (2008)Cite this article

Abstract.

Linear fractional transformations are mappings on the complex plane that can be used to form building plans. Linking topological and geometrical considerations to meet certain criteria is one way of generating plans. This present study seeks any mathematical structures underlying basic plan forms which would link topological and geometrical maps. It concludes with an algorithm for plan generation.

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  1. AFEC, University of Derby, Kedleston Road, Derby, DE22 1GB, United Kingdom

    Christopher Stone

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  1. Christopher Stone
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Correspondence to Christopher Stone.

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Stone, C. The Use of Linear Fractional Transformations to Produce Building Plans. Nexus Netw J 10, 331–342 (2008). https://doi.org/10.1007/s00004-007-0074-6

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  • DOI: https://doi.org/10.1007/s00004-007-0074-6

Keywords:

  • algebra
  • algorithms
  • circles
  • design theory
  • fractals
  • geometry
  • infinity
  • iteration
  • lines
  • mappings
  • morphology
  • ratio
  • rectangles
  • shape grammars
  • topology
  • transformations