Skip to main content

The Use of Linear Fractional Transformations to Produce Building Plans

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Christopher Stone.

About this article

Cite this article

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

Download citation

  • Published:

  • Issue Date:

  • 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