In Dual Models, written in the same enthusiastic style as its predecessors Polyhedron Models and Spherical Models, Magnus J. Wenninger presents the complete set of uniform duals of uniform polyhedral, thus rounding out a significant body of knowledge with respect to polyhedral forms. He begins with the simplest convex solids but then goes on to show how all the more difficult, non convex, uniform polyhedral duals can be derived from a geometric theorem on duality that unifies and systematizes the entire set of such duals. Many of these complex shapes are published here for the first time. Models made by the author are shown in photographs, and these, along with line drawings, diagrams, and commentary, invite readers to undertake the task of making the models, using index cards or tag paper and glue as construction materials. The mathematics is deliberately kept at the high school or secondary level, and hence the book presumes at most some knowledge of geometry and ordinary trigonometry and the use of a scientific type small electronic calculator. The book will be useful as enrichment material for the mathematics classroom and can serve equally well as a source book of ideas for artists and designers of decorative devices or simply as a hobby book in recreational mathematics.Read more
- Many polyhedra shapes published here for the first time
- The author writes enthusiastically
- Mathematics deliberately kept at secondary or high school level
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: October 2003
- format: Paperback
- isbn: 9780521543255
- length: 172 pages
- dimensions: 247 x 189 x 17 mm
- weight: 0.322kg
- availability: Available
Table of Contents
Foreword John Skilling
1. The five regular convex polyhedra and their duals
2. The thirteen semiregular convex polyhedra and their duals
3. Stellated forms of convex duals
4. The duals of nonconvex uniform polyhedra
5. Some interesting polyhedral compounds
List of polyhedra and dual models.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×