A ray in a corner (between two lines)
Intersecting lines , with unit direction vectors , and normals .
Let point on cast a ray in direction . What is the path of the ray?
NOTES:
The index m of the last bounce is based on the following observation {link prev}.
For and take
Then the sequences are as follows:
- Given the (k-1)st reflection vector, the next reflection has direction: Or, in complex numbers:**
- Let the kth bounce fall at point Then the times are given by: