Squaring the Triangle

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We construct flat Laguerre planes by 'integrating' flat projective planes. The construction is based in an essential way on results from the theory of interpolation. In conjunction with the unifying theory of topological circle planes and generalized quadrangles, the new construction appears to be one of the most natural and powerful constructions of such geometries.

Original languageEnglish
Pages (from-to)229-243
Number of pages15
JournalGeometriae Dedicata
Issue number1-3
Publication statusPublished - 2000
Externally publishedYes


  • Circle plane
  • Generalized quadrangle
  • Interpolation
  • Projective plane
  • Unisolvent sets

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