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The Celestial Image of a Polyhedron (Geometry and the Imagination)

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Visit this site: http://geom.math.uiuc.edu/docs/education/institute91/handouts/node23.html
Author:Conway, Doyle, Gilman, Thurston; The Geometry Center
Description: 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)
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: Polyhedra

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