Some Incidence Theorems and Integrable Discrete Equations
نویسنده
چکیده
Several incidence theorems of planar projective geometry are considered. It is demonstrated that generalizations of Pascal theorem due to Möbius give rise to double cross-ratio equation and Hietarinta equation. The construction corresponding to the double cross-ratio equation is a reduction to a conic section of some planar configuration (203154). This configuration provides a correct definition of the multidimensional quadrilateral lattices on the plane.
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 36 شماره
صفحات -
تاریخ انتشار 2006