Geodesic
An infinite class of movable 5-configurations
Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 411-425.

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A geometric 5-configuration is a collection of points and straight lines, typically in the Euclidean plane, in which every point has 5 lines passing through it and every line has 5 points lying on it; that is, it is an (n5) configuration for some number n of points and lines. Using reduced Levi graphs and two elementary geometric lemmas, we develop a construction that produces infinitely many new 5-configurations which are movable; in particular, we produce infinitely many 5-configurations with one continuous degree of freedom, and we produce 5-configurations with k − 2 continuous degrees of freedom for all odd k > 2.
DOI : 10.26493/1855-3974.937.158
Keywords: Configurations, incidence geometry 
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Leah Wrenn Berman; Elliott Jacksch; Lander Ver Hoef. An infinite class of movable 5-configurations. Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 411-425. doi : 10.26493/1855-3974.937.158. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.937.158/

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