No Ben, It's this space:

#X#
XXX

Paul Smith

[email protected]

On Wed, Apr 15, 2015 at 11:44 AM, Benjamin Chang <[email protected]>
wrote:

> On Wednesday, April 15, 2015 at 2:41:51 AM UTC-7, bigOnion wrote:
> > The analysis says that whenever you are left with a connected blank
> space (not necessarily rectangular) whose size is divisible by X - then you
> can fill it up with X-ominoes:
> >
> > " If a connected blank area of size M is a multiple of X, it can be
> guaranteed that there is a way to place M/X X-ominoes to fill in the blank
> area. "
> >
> > It also repeats later.
> >
> > It seems that what is actually used in the proof is the claim in the
> other direction: if you can force a blank space to be of size not divisible
> by X then you win (no way to fill the blank space).
> >
> > The claim as stated doesn't seem quite right actually. Consider the case
> of a connected blank space of size 4 whose shape is of one blank space with
> three other blank spaces around it (adjacent to it). Then obviously there
> is no way to fill this space with 2 2-ominoes.
> > The claim in the analysis is not quite right. Maybe it can be right with
> more restrictions and in a specific content, but not the way it is
> currently claimed.
>
> The shape you described is just a 2x2 square if I am understanding
> correctly. This can be filled with 2 2-ominoes.
>
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