The Celestial Image of a Polyhedron (Geometry and the Imagination)
Library Home || Full Table of Contents || Suggest a Link || Library Help
|Conway, Doyle, Gilman, Thurston; The Geometry Center|
|Using the celestial image of a polyhedron to get yet another proof of Descartes' angle-defect formula. What pattern is traced out on the celestial sphere when you move a flashlight around on the surface of a cube, keeping its tail as flat as possible on the surface? What is the celestial pattern for a dodecahedron?|
|Levels:||Middle School (6-8), High School (9-12)|
|Resource Types:||Lesson Plans and Activities|
© 1994- The Math Forum at NCTM. All rights reserved.