References

• John H. Conway, Heidi Burgiel and Chaim Goodman-Strauss (1991), The Symmetries of Things. This is a very fun, deep and extremely well-illustrated book on everything symmetric, with a very modern approach.


• H. S. M. Coxeter, P. du Val, H. Flather and J. F. Petrie (1938), The Fifty-Nine Icosahedra, reedited by Kate and David Crennell (2011). A nice book on the stellations of the Icosahedron.


• H. S. M. Coxeter, M. S. Longuet-Higgins and J. C. P. Miller (1954), Uniform polyhedra, Phil. Trans. Royal Soc. 916, Vol. 246, pp. 401-450.


• H. S. M. Coxeter (1973) Regular Polytopes. This is the book for people who want to understand regular polyhedra and regular polytopes. If you want to go overboard, then get Regular Complex Polytopes (Coxeter 1991).


• H. Martyn Cundy, A. P. Rollett (1981) Mathematical models. This is a very nice but inexpensive book that includes most of the paper models in my office, and much besides polyhedra.


• George W. Hart (2000), Zome Geometry: Hands-on Learning with Zome Models. This is a very nice introduction to the Zometool system.


• M. Livio (2002), The Golden Ratio: The Story of Phi, the World's Most Astonishing Number. This is a nice introduction of the golden ratio to non-mathematicians. It also usefully debunks the giant piles of nonsense written about its use in the fine arts.


• Peter McMullen (2018), Geometric Regular Polytopes. A very theoretical approach to polytopes. One of the highlights is the six new regular polychoron compounds that were discovered by the author.


• Siobhan Roberts (2006), King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry. This is a very nice book on the life and work of H. S. M. Coxeter.


• Skilling, J. (1975), The complete set of uniform polyhedra, Phil. Trans. Royal Soc. A, 1278, Vol. 278, pp. 111 - 135.


• Magnus Wenninger: (1974) Polyhedron Models, (2003) Dual Models, (2011) Spherical Models. These books detail methods for building a very large number of polyhedron and related models, particularly uniform polyhedra.

• The most valuable resource for anyone in the first stages of learning any topic must surely be Wikipedia, one of the best things to happen in the Internet age. I link to it extensively in this page.


• David Richter's list of projects with the Zometool. A few of the models in my office (600-cell, first stellation of the 120-cell and a couple of others) were built following directly the instructions in these pages - I learned a lot building those models! Most others were inspired by models that appear in these pages. A big Thank You to David for the very inspiring and educational resource!


• Scott Vorthmann's vZome. This program allows one to make virtual models with the Zometool. This makes extremely difficult models feasible, and it has been used to prove that many geometric objects can be built in the Zometool. A very cool program! Also, lots of interesting geometric objects are presented in the site, some of which I show here.


• Eusebeia 4-D visualization. This is very useful for figuring out how to build projections of the convex 4-D regular and uniform polychora with the Zometool.


• Nan Ma's star polytope page, which was inspired by, and complements, the previous page, which did not have the star polytopes. I refer extensively to these two useful pages above.


• Uniform Polychora and Other Four Dimensional Shapes. This is an amazing site, which lists all known uniform polychora. If new ones are discovered, this is the place to look for them.


• George Hart's page. From his beautiful site and its links you may explore the whole polyhedral universe.