hi Dr. Dick,

yep i looked at it, found it interesting, found the prior essay on abstraction even more interesting.
i'm confident i could do the math for the problem in question. (chortle) i'm not about to do the math though. it really is not so trivial when you consider all that is behind it. it is trivial if you just plug some numbers into the right equations.
Paul's point about the paint at some point being to big to go down the spout as it narrows is an interesting one. one has to wonder if his math instructor ever realized that point.

Dick i write off the contentions of our fellow posters with regards to your paper as more a difficulty of this forum mode of communication than as to any other possible explainations.

by the way, deep down in the posts i responded to a prior post or two... one about your paper and another about Pauli exclusion principle.

regards, tim