Un-Wrapping a Sphere with R

December 8, 2009
By

[This article was first published on dylan's blog, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)
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Premise
I was recently asked to print out a fabric pattern that could be used to cover a sphere, about the size of a ping pong ball, for the purposes of re-creating a favorite cat toy (quite important). Thinking this over, I realized that this was basically a map projection problem– and could probably be solved by scaling an interrupted sinusoidal projection to match the geometry of a ping pong ball. Below are some R functions, and examples of how this endeavor evolved. Thanks to Greg Snow for this helpful post on the R-mailing list, describing how to preserve linear measurement when composing a figure in R. So far the pattern doesn’t quite fit.

 
Update
It looks like it was not the printer’s fault– I had used the wrong radius for a ping pong ball: 16mm instead of 19mm or 20mm (there are 38mm and 40mm diameter ping pong balls). Updated files are attached.

Sinusoidal ProjectionSinusoidal Projection

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