Quadrilateral Sets and Liftings

Jürgen Richter-Gebert ()
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Jürgen Richter-Gebert: TU München, Zentrum Mathematik (M10) LS Geometrie

Chapter 8 in Perspectives on Projective Geometry, 2011, pp 129-143 from Springer

Abstract: Abstract In this chapter we will focus on an important concept of projective geometry: quadrilateral sets. On the one hand, these configurations can be considered a generalization of harmonic points. On the other hand, they have a close relation-ship to the liftability of lower-dimensional point configurations to prescribed higher-dimensional scenarios. Their algebraic counterparts also expose highly symmetric (almost rhythmic) structures coming from the interplay of the six intersections of four lines.

Keywords: Projective Transformation; Point Pair; Line Slope; Algebraic Counterpart; Harmonic Point (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-642-17286-1_8

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