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The study of polyhedra is an ancient one, going back to the dawn of history. It is especially those polyhedra called uniform that have evoked the greatest interest and provided the most fascination. It should therefore be of special usefulness in classrooms today for students to see and handle paper models they have made. Making models is a genuine outlet for the creative spirit, and it can also stimulate interest in the study of mathematics. The cube, the tetrahedron, the cone, the cylinder, the sphere, shown on the front cover, are basic objects in such a study. This booklet gives...

Models of the regular and semi-regular polyhedral solids have fascinated people for centuries. The Greeks knew the simplest of them. Since then the range of figures has grown; 75 are known today and are called, more generally, 'uniform' polyhedra. The author describes simply and carefully how to make models of all the known uniform polyhedra and some of the stellated forms. Fully illustrated with drawings and photographs, this is the first practical guide to making these intricate and beautiful solids.

Well known through the work of Buckminster Fuller, models of spherical polyhedral excite the imaginations not only of mathematicians, architects and engineers but also of artists and designers. This book, concerned with polyhedrons, sphere tilings, and dome structures, offers a well-illustrated, practical approach to creating a host of beautiful and interesting models, including starfaced spherical forms that can serve as basic structures for geodesic domes.
Employing only the most elementary mathematical principles, the text initially provides complete instructions for making spherical...

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....