Geometric Pattern on Sphere and Torus

By Xah Lee. Date:
sphere two point islamic pattern
Sphere with two-point pattern. “A two-point spherical Islamic star pattern with nine-pointed and ten-pointed stars. Created using custom-designed software, with a tiny bit of postprocessing in Rhino.” [By Craig Kaplan 2010-05-26 photo source]

This is created by Craig S Kaplan http://www.cgl.uwaterloo.ca/csk/projects/

You can actually buy this, as a real object. $13 USD. Place it on your desk or coffee table, sure to attract admirers. Buy it at shapeways.com .

Islamic Star Patterns in Absolute Geometry (2004-04) By Craig S Kaplan, David H Salesin. ACM Transactions on Graphics 23(2):97-119, April 2004. http://www.cgl.uwaterloo.ca/csk/papers/tog2004.html

Math