Quelltext der Seite Sculptures in S3

== Reference ==
Saul Schleimer and Henry Segerman: [[Sculptures in S3]]. In: [[Bridges 2012]]. Pages 103–110 

== DOI ==

== 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.

== Extended Abstract ==

== Bibtex == 

== Used References ==
[1] Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-
Verlag, New York, 1983.

[2] John H. Conway and Derek A. Smith, On quaternions and octonions: their geometry, arithmetic, and
symmetry, A K Peters Ltd., Natick, MA, 2003.

[3] H. S. M. Coxeter, Regular polytopes, third ed., Dover Publications Inc., New York, 1973.

[4] Manfredo Perdigão do Carmo, Riemannian geometry, Mathematics: Theory & Applications,
Birkhäuser Boston Inc., Boston, MA, 1992, Translated from the second Portuguese edition by Francis
Flaherty.

[5] George W. Hart, 4d polytope projection models by 3d printing, to appear in Hyperspace.

[6] H. Blaine Lawson, Complete minimal surfaces in S3 , Annals of Mathematics 92 (1970), no. 3, 335–374.

[7] D. Lerner and D. Asimov, The Sudanese Möbius band (video), In SIGGRAPH Video Review, 1984.

[8] Fritz H. Obermeyer, Jenn3d, a computer program for visualizing Coxeter polytopes, available from http://www.math.cmu.edu/~fho/jenn/

[9] Adrian Ocneanu, Octacube, http://science.psu.edu/news-and-events/2005-news/math10-2005.htm.

[10] Charles Perry, Zero, http://www.charlesperry.com/sculpture/zero.

[11] Günter M. Ziegler, Lectures on polytopes, Graduate Texts in Mathematics, vol. 152, Springer-Verlag,
New York, 1995.


== Links ==
=== Full Text === 
http://archive.bridgesmathart.org/2012/bridges2012-103.pdf

[[intern file]]

=== Sonstige Links ===
http://archive.bridgesmathart.org/2012/bridges2012-103.html