The Art of Geometry

Daniela Velichová
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 143–150 Regular Papers


This paper deals with new methods for modelling and studying shape in mathematics. It aims to show similarities between mathematical and artistic solutions applied in the creation of a piece of work — artistic or mathematical. Minkowski operations on point sets are introduced to create complex forms as point set combinations and used as generating principles for modelling various interesting geometric structures such as point mosaics, flexible curves and smooth surface patches in Euclidean space.