Store Studio Observatory Library Geometry Center Info Center Store Studio Observatory Library Geometry Center Information
Center
Create your own Science Me home page!
Geometry Center
Interactive
Activities
Articles
Classroom
Facts and Figures
Find It!
  

What's a Generating Triangle?

All the Platonic solids and almost all the Archimedean solids can be generated by reflecting a triangle across each of its edges over and over. The triangle used to make the polyhedra is called the generating triangle.

For the Platonic and Archimedean solids the set of angles at the corners of the triangle is either (90,60,36), (90,60,45) or (90,60,60). In the images below, the shape on the left is a three-color "bent" triangle with angles of (90,60,36). When reflected across its edges over and over, it generates the polyhedron on the right.



Info Center | Geometry Center | Library | Observatory | Studio | Store | Science Me

Page last updated Wed Jul 28 17:05:18 CDT 1999
Comments to webmaster@ScienceU.com


Copyright © Geometry Technologies 1999. All right reserved.