Fivefold Rose  2002

This rose that features fivefold symmetry for a more natural appearance. The golden ratio is replete in many natural plant forms and the rose is no exception. The method for developing the pentagon is approximate but very accurate. The center of the pentagon is at the center of the paper.

 
Triangular Prism  2002

In an effort to complete a Periodic Table of Polyhedra in origami, I began to by producing the lower polyhedra. There are two unique pentahedra. One is a pyramid with a square base, and the other is the triangular prism. The one shown here is a "regular" triangular prism, having all edges of unit lengths and faces of regular polygons, and only a single type of vertex. I not sure why is it not considered an Archimedean solid; I guess because it bears no particular relationship to any Pythagorean solid.

 
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.

 
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.