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04 September 2009 @ 12:02 am
Friday Puzzle #13 - Digital Pent-By-Number  
I decided to revisit another variation of mine this week, Digital Paint By Numbers, as I really like the concept and haven't even fully explored it myself yet. I combined paint by numbers with pentominoes in this puzzle, as others have done before for regular paint by numbers, since it helps define what is being painted rather well and adds to the logical possibilities for solving.


Rules: Paint some squares in the grid so that the shaded squares comprise the entire set of pentominoes indicated below the grid. Rotation and reflection of the pentominoes is allowed, but no two pentominoes can touch each other, even diagonally. The clues on the outside of the grid indicate the sum of the digits in connected painted squares in that row/column in order from left to right or top to bottom. At least one unshaded square must separate different sums.

 
 
 
( 9 comments — Leave a comment )
jrivet on September 4th, 2009 06:06 pm (UTC)
Did you intend to put the pentominoes in alphabetical order? Just curious.
motrismotris on September 4th, 2009 06:12 pm (UTC)
I think I was trying to spell FLIP and then liked the heights the other way better.
(Anonymous) on September 5th, 2009 05:25 am (UTC)
Pent or just paint
I was sort of surprised that the rule about the regions being pentominoes doesn't really come into play. It is completely solvable with just the digits and the "regions don't touch" rule.
motrismotris on September 5th, 2009 06:15 am (UTC)
Re: Pent or just paint
Well, "regions don't touch" is a huge rule in most pentomino puzzles and is certainly key here as it builds your white space much faster.

I guess the identities for the set don't play as much of a part as they would in a regular PBN where the single 5 and two 4's are big clues to pack the I, L, and Y. Still, if you chose to you could try to find the exact spot the I fits into much quicker if you probed the 7 in this puzzle which must be the I.

Its possible that in this variant, a hybrid rule where pentominoes can touch (and consecutive black clues in a row/column can touch if they belong to different pentominoes) might add a lot more play to the situation though. Certainly worth exploring if I ever revisit this area again.
Robert Hutchinsonertchin on September 5th, 2009 06:19 am (UTC)
I know this is true of a lot of logic-type puzzles, but I was surprised at how much faster the rest of the solving went after I had only placed two or three pentominoes.

(Please don't mistake this for a complaint. Any excuse to do a Paint By Numbers, I always say.)
thesubro on September 10th, 2009 12:19 pm (UTC)
I agree with your sharp complaint. :)

Tom's suggested alternative - where pentominoes can touch (and consecutive black clues in a row/column can touch if they belong to different pentominoes)may keep us all guessing though.

Ken
grandpascorpion on September 14th, 2009 12:12 am (UTC)
My only qualm too. (I had never thought I'd say that about one of your puzzles :) )
motrismotris on September 14th, 2009 12:14 am (UTC)
So I guess there is an expectation of "hard" for my puzzles? I honestly have only had about 20 minutes each week to prepare these recently, in part because most of my puzzle writing time is getting 180 calcudoku done right now, so I couldn't experiment as much as I wanted with the design. I knew it was easier but not disgustingly so :).
grandpascorpion on September 14th, 2009 12:24 am (UTC)
Definitely not :) I'm impressed it only took you 20 minutes to do this.
( 9 comments — Leave a comment )