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Hecman Gun

Posts: 36
From: Somewhere farther than where Lewis Carroll trotted
Registered: 4/28/09
Name of Topic?
Posted: May 17, 2010 5:45 PM
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I want to know what type of topic this is:

Suppose we are concerned with light reflection in, for this instance, striking against the inner walls of a circle. The the light rays will repeat if and only if a polygon is formed; or else, the sequence will not repeat and for bouncing of each wall for the i^th time, (if we suppose we start the ray on the unit circle at the pt of 270 degrees), then the i^th pt will be 270 degrees + i*(2x - 180 degrees), where x is the initial angle against the circle from the light ray.

I wish to know or learn about the general solution to this iterative problem on the general closed form.

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