Squaring the Triangle

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Abstract

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
Volume83
Issue number1-3
Publication statusPublished - 2000
Externally publishedYes

Keywords

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

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