Geodesic
Classification of Manifolds Resulting as Minkowski Operation Products of Basic Geometric Point Sets
Journal for geometry and graphics, Tome 19 (2015) no. 1, pp. 13-29.

Voir la notice de l'article provenant de la source Heldermann Verlag

This paper brings a basic classification of possible results of the point set operations 'Minkowski sum' and 'Minkowski product' performed on elementary geometric figures as point subsets in the Euclidean space En, which can be represented analytically by the relevant vector maps. The intrinsic geometric properties of the resulting manifolds are presented with illustrations of various appealing results in E3, and 3-dimensional orthographic views of manifolds from spaces E4 and E6.
Classification : 51N20, 53A05
Mots-clés : Minkowski point set operation, vector sum, exterior wedge product of vectors, Minkowski point set combination, Minkowski operator 
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D. Velichov�. Classification of Manifolds Resulting as Minkowski Operation Products of Basic Geometric Point Sets. Journal for geometry and graphics, Tome 19 (2015) no. 1, pp. 13-29. http://geodesic.mathdoc.fr/item/JGG_2015_19_1_JGG_2015_19_1_a1/