[math-fun] 27_4 configuration

In barycentric coordinates, both lines and points are triples. A point is on a line if point.line = 0. The following set of points AND lines is a configuration, every point is on 4 lines and every line goes through 4 points. This is a 27_4 configuration. {{-2, 3, 1}, {-2, 4, -1}, {-1, -2, 4}, {-1, 0, 2}, {-1, 1, 1}, {-1, 1,2}, {-1, 2, 3}, {-1, 2, 4}, {0, 2, -1}, {0, 2, 1}, {1, -2, 3}, {1, -1, 1}, {1, 0, 2}, {1, 1, -1}, {1, 1, 2}, {1, 2, -1}, {1, 2,1}, {2, -1, 0}, {2, -1, 1}, {2, 1, 0}, {2, 1, 1}, {2, 3, -1}, {2, 4, -1}, {3, -1, 2}, {3, 1, -2}, {4, -1, -2}, {4, -1, 2}} --Ed Pegg Jr