Using Turtles and Skeletons to Display the Viewable Sphere

David Swart
Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture (2009)
Pages 39–46 Regular Papers


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).