Sculptures in S^3
History and Overview
2012-05-18 v2 Geometric Topology
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.
Cite
@article{arxiv.1204.4952,
title = {Sculptures in S^3},
author = {Saul Schleimer and Henry Segerman},
journal= {arXiv preprint arXiv:1204.4952},
year = {2012}
}
Comments
9 pages, 9 figures. To appear in the proceedings of the Bridges Conference 2012. Corrected the formula for n(\theta, \phi) for the Mobius strip