Thank you Paul, looks like a good workout there. Plus some very interesting side issues. e.g. the varied impedance corner arrangement. I will take some time to it later. However I did go straight to the good stuff as you suggested. There is indeed a 'mystery' path which would not be obvious to the eye or intuition. The path would be of great interest to a Snooker pro

. However, it is a third bounce, likely to be of very low level, and it doesn't end up in the mix area. I reckon such 'mysterys' are stretching things a bit, and I can't agree that we need calibrated ears to detect dangerous surfaces/reflections closer than 10 feet.
Those graphs mumblesound linked to are simple and clear. Not at all like the IMHO difficult to view 'haircuts' we see in our typical hovels.
DD