Abstract
An important projective invariant, the cross-ratio of four collinear points, is defined. Some special configurations in two, three and four dimensions are introduced, including extensions of Desargues’ theorem, Sylvester’s ‘duads and synthemes’, desmic systems of tetrahedra, and Baker’s remarkable configuration derived from six points in a complex four-dimensional space.
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© 2013 Springer-Verlag London
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Lord, E. (2013). Linear Figures. In: Symmetry and Pattern in Projective Geometry. Springer, London. https://doi.org/10.1007/978-1-4471-4631-5_3
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DOI: https://doi.org/10.1007/978-1-4471-4631-5_3
Publisher Name: Springer, London
Print ISBN: 978-1-4471-4630-8
Online ISBN: 978-1-4471-4631-5
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