Recycling circle planes

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Abstract

The main aim of this paper is to introduce new ways of constructing flat projective planes from spherical circle planes and cylinder circle planes. We shall also touch upon topics that have natural connections with our constructions, like the construction of spreads of pseudolines from flat projective planes, the extendability of partial spherical circle planes to spherical circle planes and giving examples of sets of 2-arcs that determine flat projective planes and ℝ2-planes.

Original languageEnglish
Pages (from-to)325-340
Number of pages16
JournalBulletin of the Australian Mathematical Society
Volume53
Issue number2
Publication statusPublished - Apr 1996
Externally publishedYes

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