Using Turtles and Skeletons to Display the Viewable Sphere
Inhaltsverzeichnis
Reference
David Swart: Using Turtles and Skeletons to Display the Viewable Sphere. In: Bridges 2009. Pages 39–46
DOI
Abstract
A number of software packages allow us to stitch together photos to capture the entire viewable sphere. To represent the viewable sphere in interesting ways, we introduce a new way to define projections (cartographic mappings from the sphere to the plane) using a turtle language similar to Logo. These projections can be printed, cut out and assembled into photographic equivalents of Termespheres. Further, this new method for defining projections is versatile enough to allow artistic and mathematical explorations and as such, the projections can be interesting in their own right (i.e., without being constructed back into spheres).
Extended Abstract
Bibtex
Used References
[1] Harold Abelson and Andrea diSessa, Turtle Geometry: The Computer as a Medium for Exploring Mathematics. MIT Press, Cambridge. 1981.
[2] Lloyd Burchill. English Bay Park. http://www.flickr.com/photos/lloydb/57038900 28 Oct 2005.
[3] John Conway. math-fun. http://www.math.uni-bielefeld.de/~sillke/PUZZLES/baseball 3 Jun 1994.
[4] Erik D. Demaine, Martin L. Demaine, John Iacono, and Stefan Langerman: Wrapping Spheres with Flat Paper, In Computational Geometry: Theory and Application, to appear. Special issue of selected papers from the 20th European Workshop on Computational Geometry. 2007.
[5] Daniel M. Germán, Lloyd Burchill, Alexandre Duret-Lutz, Sébastien Pérez-Duarte, Emmanuel Pérez-Duarte, Josh Sommers: Flattening the Viewable Sphere. In Computational Aesthetics 2007, pages 23-28. 2007.
[6] Dick Termes. Painting the Total Picture. In Bridges Leeuwarden: Mathematical Connections in Art, Music and Science Proceedings 2008, pages 363-368. 2008.
Links
Full Text
http://archive.bridgesmathart.org/2009/bridges2009-39.pdf
