Displaying similar documents to “Decompositions of the plane into sets, and coverings of the plane with curves”

Circuminscribed polygons in a plane annulus

Waldemar Cieślak, Elżbieta Szczygielska (2008)

Annales UMCS, Mathematica

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Each oval and a natural number n ≥ 3 generate an annulus which possesses the Poncelet's porism property. A necessary and sufficient condition of existence of circuminscribed n-gons in an annulus is given.

Elastic Sturmian spirals in the Lorentz-Minkowski plane

Ali Uçum, Kazım İlarslan, Ivaïlo M. Mladenov (2016)

Open Mathematics

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In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.