Sculptures in S^3

Abstract

We construct a number of sculptures, each based on a geometric design native to the three-dimensional sphere. Using stereographic projection we transfer the design from the three-sphere to ordinary Euclidean space. All of the sculptures are then fabricated by the 3D printing service Shapeways.

9 pages, 9 figures. To appear in the proceedings of the Bridges Conference 2012. Corrected the formula for n(θ, ϕ) for the Mobius strip