Geodesic
Classification and Normal Forms of Planar 4-Multisets and Quadrangles
Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 31-39
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This article is devoted to the problem of describing similarity types of geometric objects. We give a solution of this problem for the case of four points in plane. The general case is subdivided into several subcases depending on configurations of points in maximum distance. Similarity types are parametrized by a point or a pair of points in the plane.
Classification : 51M04, 51N20, 97G50
Mots-clés : Normal forms, similarity, quadrangle 
@article{JGG_2018_22_1_JGG_2018_22_1_a3,
     author = {P. Daugulis},
     title = {Classification and {Normal} {Forms} of {Planar} {4-Multisets} and {Quadrangles}},
     journal = {Journal for geometry and graphics},
     pages = {31--39},
     year = {2018},
     volume = {22},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2018_22_1_JGG_2018_22_1_a3/}
}
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P. Daugulis. Classification and Normal Forms of Planar 4-Multisets and Quadrangles. Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 31-39. http://geodesic.mathdoc.fr/item/JGG_2018_22_1_JGG_2018_22_1_a3/