Convex Polyhedra with Regular Faces
The designer and author of `Convex Polyhedra with Regular Faces' and booklet `Shapes in Space' published by ATM has created supporting web pages for this excellent resource.
Buy Shapes in Space and the poster here
The poster shows 50 of the convex polyhedra that can be made with regular polygons, and classifies them into 10 families.
The booklet explains some important properties of the polyhedra, provides historical background, and includes activities, questions (and answers) for classroom discussion.
The supplementary information presented here is in the form of data sheets - one per polyhedron on the poster.
Convex Polyhedra website
- Convex Polyhedra Home Page
- Convex Polyhedra Picture Index
- Convex Polyhedra Name Index
- Convex Polyhedra Definitions
This material can be used to:
- Construct the polyhedra using ATM MATs or Polydron.
- Develop spatial skills by studying the decomposition and construction of shapes:
- Which polyhedra can be built by gluing others together?
- How many ways can it be done?
- See shapes from different angles and in different ways. The regular octahedron is also a triangular antiprism or a square dipyramid, depending on your point of view.
- Help pupils appreciate the need for clarity and precision in definitions, and hence develop skills in the use of mathematical language. This is easily done by finding similarities and differences between the classes, or devising classifications of your own.
