Photographic Polyhedron (Geometry and the Imagination)
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|Conway, Doyle, Gilman, Thurston; The Geometry Center|
|As you stand in one place and look around, up, and down, there is a sphere's worth of directions you can look. One way to record what you see would be to construct a big sphere, with the image painted on the inside surface. To see the world as viewed from the one place, you would stand on a platform in the center of the sphere and look around. We will call this sphere the visual sphere. You can imagine a sphere, like a planetarium, with projectors projecting a seamless image. The image might be created by a robotic camera device, with video cameras pointing in enough directions to cover everything. What is the geometric relation of objects in space to their images on the visual sphere?...|
|Levels:||Elementary, Middle School (6-8), High School (9-12), College|
|Resource Types:||Lesson Plans and Activities|
|Math Topics:||Polyhedra, Elliptic & Spherical Geometry|
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