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Reflections

Here P is again at (6, 2) and B is again at (8, 6). The ball returns to P.

Look at the reflections of the table, and at the straight path shown by the yellow line.
What is going on?!

Explore the situation by using the worksheet JAVA-D or JAVA-D-trace.
Find positions of B that return the ball to P, for different positions of P and for different sizes of table.
Try to use this configuration to explain some of your earlier findings.

PS