PentoFit IV
(Published on 25. June 2010, 03:16 by zhergan)
Some of the cells in the grid are blackened. Fill the remaining cells with the whole set of 12 pentominoes.
Pentominoes may be rotated and/or reflected.
If two pentominoes touch only corner by corner there is a white dot at this corner.
If four pentominoes touch only corner by corner there is a black dot at this corner.
If there are gray painted cells, two "neighbour pentominoes" touch side by side at the common edge of these cells.
"Neighbour pentominoes" are defined as following: If you sort the letters of the pentominoes alphabetically the
neighbours stand side by side, as in the following chain:
- F - I - L - N - P - T - U - V - W - X - Y - Z - F - I - ...
So in example neighbours of I pentomino are F and L pentominoes. Or neighbours of Z pentomino are Y and F pentominoes.
All gray painted cells, white and black dots in the grid are given.
Solution code: Row 5, followed by column 6. For each field use the letter of the pentomino. Use letter "E" for the blackened cells.
Comments
on 15. August 2021, 23:17 by zhergan
Labels revision..
on 2. August 2010, 21:29 by zhergan
Hi to all. The wording of the puzzle text is changed. Also a German translation is added. Thanks stand for Claudia:) I think with this new wording the rules are absolutely more understandable now.
Zafer
on 2. August 2010, 21:12 by uvo
You don't have to understand the rules. The placing of the twelve pentominoes alone yields a unique solution :-)
on 2. August 2010, 18:14 by pin7guin
The puzzle itself is not too difficult to solve.
But it is quite hard to understand the rules.
on 27. June 2010, 22:21 by Realshaggy
A Pentomino-puzzle with logical solving path. Nice. :-)
You should change the description slightly, not everybody reads your comment about "edges". In german it's a very common mistake to mistranslate "edge" as "Ecke", while in fact it means "Kante". I don't know if it's the same in turkish.
@Realshaggy: Hi Christoph. You're right. We have a similar problem in Turkish. Both words used instead of the other sometimes, which leads to confusions. Anyway the puzzle text has changed now.
on 25. June 2010, 09:58 by Alex
hurray, now it works! :D
Very nice idea! After I have understood it now, more puzzles like this would be nice...
on 25. June 2010, 09:03 by zhergan
Hi to all,
The pentominoes does not have to form any kind of chain in your solution. This explanation is just used the explain the neighbourhood between the pentominoes. If you place the pentominoes around a circle each will have two neighbours as it is mentioned.
Zafer
edit: "touch by edges" means "touch by corners". And as an important note: Black and white dots are not defined for only neighbour pentominoes. By this way; for example if U pentomino touches to F pentomino by corner then there must be a white dot placed at that grid point.
on 25. June 2010, 08:11 by sandmoppe
The most difficulty was to understand the rules. But after that, it was a very nice puzzle.
