closed loops with antiprisms

Melle Stoel
Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014)
Pages 285–292 Regular Papers


This paper presents a variety of polyhedral structures consisting of antiprisms that connect together to form closed loops. They suggest interesting architectural possibilities and pose an open problem to mathematicians: to prove that the results, obtained visually with 3D design software, are mathematically exact.