The Five Platonic Solids
The Thirteen Archimedean Solids
Prisms, Antiprisms, and Other Polyhedra
The Four Kepler-Poinsot Solids
Other Stellations or Compounds
Some Other Uniform Polyhedra
Photographs: Stanley Toogood’s
International Film Productions,
for the Classroom
Magnus J. Wenninger
St. Augustine’s College
NATIONAL COUNCIL OF
TEACHERS OF MATHEMATICS
1201 Sixteenth Street, N.W., Washington, D. C. 20036
Copyright © 1966 by
THE NATIONAL COUNCIL OF TEACHERS OF MATHEMATICS, INC.
All rights reserved
Printed in the United States of America
The study of polyhedra is an ancient one, going back to the dawn of history. It is especially those polyhedra that are called uniform that have evoked the greatest interest and provided the most fascination. It should therefore be of special usefulness for mathematics students and teachers in their classrooms today to see and handle these geometrical solids in aesthetically pleasing models and to be delighted with their beauty and form.
Most students show immediate interest in this kind of work, and teachers are often surprised to see the quality of the results a student obtains in making the models. It is a genuine outlet for the creative instinct; in addition, it calls for care and accuracy, as well as perseverance and pertinacity in models that have many parts and an intricate color arrangement. It is also surprising how the models can stimulate interest in some of the basic theorems of solid geometry. And, when a project is finished, the models will enhance the appearance of the classroom, where they can be put on permanent display.
for the Classroom
by Magnus J. Wenninger
|Reprinted with permission from
Polyhedron Models, copyright 1966
by the National Council of Teachers
of Mathematics. All rights reserved.
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| Ragnar Torfason|
2006 June 3