-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.
|
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 |
|---|---|---|
 |
 |
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| p=1.4 | p=1.5 | p=1.6 |
|---|---|---|
 |
 |
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| p=1.8 | p=1.9 | p=1.95 |
|---|---|---|
 |
 |
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| p=2.0 |
|---|
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| p=2.1 | p=3.0 | p=4.0 |
|---|---|---|
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