Zing Origami - Polyhedra II

 
Half Tetrahedron  2002

Another pentahedron, the faces of this solid include a square, two equilateral triangles, and two trapezoids whose long edge is twice as long as the other three edges. It has the interesting property of being able to form a tetrahedron when joined to another of the same shape by the square face.

 
Icosahedron  2001
Original method for folding the twenty-sided platonic solid from a single rectangular sheet of a 2:1 ratio. My method features good utilization of the paper and optimization for size, a easy and straightforward prefold sequence, and a very secure lock. In general, folding a polyhedron from a 2:1 rectangle is easier than a square and better utilizes the paper. This is because you have more edge relative to area, and you can use something like a Mercator projection for the layout, or a two-hemisphere clamshell arrangement.

 
Cuboctahedron  2001
This fourteen-sided Archimedean solid is one of my favorite shapes, and closely related to the Truncated Octahedron, but easier to fold. One of my first successful polyhedra designs.