Day 198 - Deltoidal Icositetrahedron

Another day, another Catalan solid.  Today it is the Deltoidal Icositetrahedron, dual of the Archimedian solid known as the Rhombicuboctahedron. As we discussed yesterday, the fact that these are duals means the following two things:

• Since every vertex of the Rhombicuboctahedron is degree four, every face of the Deltoidal Icosahedron has four sides. 
• Since every face of the Rhombicuboctahedron is either a triangle or a square, every vertex of the Deltoidal Icositetrahedron has degree three or four.

The Deltoidal Icositetrahedron looks like the little brother of the Deltoidal Hexecontahedron from Day 196:

Thingiverse link: http://www.thingiverse.com/thing:273327

Settings: MakerWare custom profile described in Day 194, on a Replicator 2.