20 Mar
2018
20 Mar
'18
6:59 p.m.
PROBLEM: Show that even if the two empty glasses were different shapes from one another (and from the identical full glasses), one can still divide the lassi into four equal portions. The only allowed operation is to equalize the amount of lassi in two glasses of the same shape by equalizing the height of the lassi. (One might quibble that in practice you can only do this approximately, but for purposes of this puzzle, ignore that nicety.)
I presume there is a second allowed operation, which is to transfer all of the fluid from one glass into another (irrespective of the shape of the source and target glasses), provided doing so does not cause an overflow error in the target glass...? -- APG.