
The following pictures show the reduced phase space of billiard map, where the dihedral symmetry has been factored out. The horizontal axes gives the place of impact from 0 to and the vertical axes parameterizes the angle of impact. For each of the 14 parameter values we see 13 x 11 orbits each with 100 iterations.
p=1.0 

p=1.001  p=1.01  p=1.1 

p=1.4  p=1.5  p=1.6 

p=1.8  p=1.9  p=1.95 

p=2.0 

p=2.1  p=3.0  p=4.0 
