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