| The explanations linked below are written for a non-mathematical audience and contain further photos and diagrams. These links also contain results of interest to students and practitioners of mathematics. I encourage all visitors to browse further. |
Click here to see an explanation of the types of solids modeled here.
Click here to see which solids are represented by the hanging models.
Click here to see an explanation of duals of regular solids.
Click here to see an explanation of symmetry groups of regular solids.
Click here to see some other origami and non-origami models I've made
To see some symmetry groups in two dimensions, check out the University of Minnesota Geometry Center program Kali, which lets you draw patterns with various symmetries.
To see a program still in development that allows you to look at four-dimensional polytopes, check out Gordon Kindlmann's Peek.
To see pictures of real-life symmetries (both two- and three-dimensional), look at Dror Bar-Natan's Image Gallery. His section on tilings has more cool symmetry links.
For information about the mathematics of origami and an excellent collection of online and offline references, go to Thomas Hull's Origami Mathematics Page. Unlike this page, which uses origami models to illustrate geometric principles, Hull's origami math page deals primarily with the mathematical underpinnings of origami itself.
Instructions for making most of the modules used in this display can be found in Tomoko Fuse's masterwork Unit Origami: Multidimensional Transformations.
Scott Kim has two lovely inversions of the word "origami": an animated mirror-symmetric inversion and a bilingual English/Japanese figure.
For more information on polyhedra, wickedly cool artwork, and lots of great links, visit George W. Hart's Pavilion of Polyhedreality.