Dual Models: One Shape to Make Them All

Mircea Draghicescu
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 635–640


We show how a potentially infinite number of 3D decorative objects can be built by connecting copies of a single geometric element made of a flexible material. Each object is an approximate model of a compound of some polyhedron and its dual. We present the underlying geometry and show a few such constructs. The geometric element used in the constructions can be made from a variety of materials and can have many shapes that give different artistic effects. In the workshop, we will build a few models that the participants can take home.