Code: 
- ** change input: triangle a.b to angle input 
 - check function: angle between 0 and pi, radius>1/2, non-negative values
 - * Code bar reflection
 - draw pictures and put them to latex files
 - ***  rootSolve, multiroot should work under assumption that we always have equation for the boundaries, which we do. 
 
later we can try when incoming vector is not straight line
- animation
 - take v_out as v_in for next periodic micro geometry, simulate over multiple ones (like a tube)
 - calculate escape time 
 
Latex: 
Website: 
- Update progress - done
 - reorganize latex file and r file part - done
 - put all latex to overleaf - done
 
Delay
- work on when r<1/2, use straight line for part that circles not intersect