Well I was as convinced as you that it was impossible, however the guy left it with me for almost a week to try and work it out for myself but even then I still hadn't a clue.
He eventually wrote it down for me on a scrap of paper as it was a little complex but unfortunately that's long gone, maybe my ferrets have eaten it.

You must be a fellow Yorkshireman, what with you keeping your ferrets in your trouser pockets.

A bit further North.
Have a Jack Russell as well I got from the gypsies.
Anything the ferrets miss, he makes short work of.

This one was technically possible as the rules used to be, but very highly improbable and not the one that was explained to me.

http://www.ask.com/question/what-is-...eak-in-snooker

I think i have solved it but the margin of this page is too small for me to write the whole proof

There is or was also a game called Snooker Plus with 2 extra coloured balls, purple ten and orange eight points.
Naturally the highest possible is much greater at that game, but that is not what I referred to.

I have the full set of balls for that game stashed away somewhere and also what appear to be the original set of ivory billiard balls that probably were in use when the table was new, possibly back in the late eighteen hundreds.

Are you boasting about your full sat of balls again DD?

Well Beckham boasts about his Golden Balls so surely my Ivory Balls are worth a mention.

If your opponent plays a professional foul and is forced to play again or you elect that they play again and they keep fouling, I suppose your score is only limited by the number of times they keep messing up prior to your amazing clearance and 147.

Nope, it doesn't work like that, sorry.

You have a point though.
Based on there being an infinite number of fouls an apponeent can make, theoretically the maximum score also also infinite. However, this has no impact on the maximum break.