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Journal for Geometry and Graphics 22 (2018), No. 1, 031--039
Copyright Heldermann Verlag 2018

Classification and Normal Forms of Planar 4-Multisets and Quadrangles

Peteris Daugulis
Daugavpils University, Parades 1, Daugavpils 5400, Latvia

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.

Keywords: Normal forms, similarity, quadrangle.

MSC: 51M04; 51N20, 97G50

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