Geodesic
Movable \((n_4)\) configurations
The electronic journal of combinatorics, Tome 13 (2006)
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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.
DOI : 10.37236/1130
Classification : 51A20, 52C35 
@article{10_37236_1130,
     author = {Leah Wrenn Berman},
     title = {Movable \((n_4)\) configurations},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1130},
     zbl = {1109.51003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1130/}
}
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%J The electronic journal of combinatorics
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Leah Wrenn Berman. Movable \((n_4)\) configurations. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1130

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