Movable \((n_4)\) configurations
Summary: An \((n_k)\) configuration is a collection of points and straight lines, usually in the Euclidean plane, so that each point lies on \(k\) lines and each line passes through \(k\) points; such a configuration will be called symmetric if it possesses non-trivial geometric symmetry. Although examples of symmetric \((n_3)\) configurations with continuous parameters are known, to this point, all known connected infinite families of \((n_4)\) configurations with non-trivial geometric symmetry had the property that each set of discrete parameters describing the configuration corresponded to a single \((n_4\)) configuration. This paper presents several new classes of highly symmetric \((n_4)\) configurations which have at least one continuous parameter; that is, the configurations are movable.
scientific article; zbMATH DE number 5132817