George Duke wrote on Thu, Jan 24, 2008 08:34 PM UTC:
From the 13th Century and the 1995/1996 interface, Courier's on 8x12,
already having the modern Bishop, has thirteen(13) bounces possible, when
overlaying the Billiards Mutator from mid-20th Century. For convenience,
put the Courier on c2. Then c2-b1-(bounce)a2-(bounce)-b3-c4-d5-e6-f7-g8-
(bounce)-h7-i6-j5-k4-l3-(bounce)k2-j1-(bounce)i2-h3-g4-f5-e6-d7-c8-(bounce)
b7-a6-(bounce)b5-c4-d3-e2-f1-(bounce)g2-h3-i4-j5-k6-l7-(bounce)k8-(bounce)
j7-i6-h5-g4-f3-e2-d1-(bounce)c2-b3-a4-(bounce)b5-c6-d7-e8-(bounce)f7-g6-h5-
i4-j3-k2-l1.
Someone can easily systematize this formulaically -- provided of course that Leonhard Euler has not already so much as looked at the problem.