Geometric Pattern on Sphere and Torus

By Xah Lee. Date:
sphere two-point islamic pattern-s
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.” 1024×680 photo source

This is created by Craig S Kaplan, a expert of mathematical decorative patterns.

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.

For some interesting read, see: 〈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. Source

decorated torus autologlyph
Torus Autologlyph

You can buy it at: shapeways.com.

This is made by Henry Segerman.

There's a brief description about this at: http://www.segerman.org/autologlyphs.html.