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- W2884642287 abstract "Given an n 3 configuration, a one-point extension is a technique that constructs ( n + 1) 3 configurations from it. A configuration is geometric if it can be realized by a collection of points and straight lines in the plane. Given a geometric n 3 configuration with a planar coordinatization of its points and lines, a method is presented that uses a one-point extension to produce ( n + 1) 3 configurations from it, and then constructs geometric realizations of the ( n + 1) 3 configurations. It is shown that this can be done using only a homogeneous cubic polynomial in just three variables, independent of n . This transforms a computationally intractable problem into a computationally practical one." @default.
- W2884642287 created "2018-08-03" @default.
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- W2884642287 date "2018-06-13" @default.
- W2884642287 modified "2023-09-23" @default.
- W2884642287 title "Coordinatizing n_3 configurations" @default.
- W2884642287 doi "https://doi.org/10.26493/1855-3974.1059.4be" @default.
- W2884642287 hasPublicationYear "2018" @default.
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