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1 vote
1 answer
54 views

Region created by locus of reflected lines

This may be more a physics topic but I feel like it is a math stack exchange topic. Say you had a circular reflective surface with rays coming in parallel to the surface. They rays reflect with angle ...
Rdog60's user avatar
  • 85
0 votes
1 answer
122 views

Reflection in a tube

My initial query was to find the distance, denoted $a$ from the centre, which a light source radiating in all directions (see below, where centre is represented by a black dot and light source by an ...
James24's user avatar
3 votes
2 answers
1k views

How do I deal with reflections inside an ellipse?

Suppose I have an ellipse with foci $F_1$ and $F_2$. How do I show that any ray of light which intersects the segment connecting the foci will have subsequent reflections that always are tangent to ...
Bobby Jones's user avatar
6 votes
0 answers
198 views

A light beam enters a closed room. What is the maximal number of reflections?

I have the following problem: a light beam enters a mirror room with integer coordinates in the plane (consider it as a polygon). One of the walls of the room is removed and the light beam enters the ...
Marin Shalamanov's user avatar
2 votes
3 answers
285 views

Reflecting a golfball off a wall to a hole and compensating for the balls radius

Problem: I'm struggling to compensate for the radius of a ball when reflecting it off a wall towards a target. (sorry I cannot yet post images) What I want is to do this: golf reflections but this ...
sinthetic's user avatar