Forms from Minkowski Triples of Circles

Daniela Velichová
Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014)
Pages 469–472 Short Papers


This paper deals with the modelling and study of various shapes arising from mathematical objects defined by means of Minkowski point set combinations. The aim is to present spatial objects with complex shapes generated by means of vector operations defined on smooth manifolds in Euclidean space. Examples using space curves that produce surfaces with unusual shapes are presented as flexible mathematical models suitable for various applications in computer aided modelling, design, architecture and art.