PentoFit V
(Published on 8. October 2010, 20:34 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 two neighbour pentominoes touches side by side at a common edge, then the two cells next to this edge are painted with grey.
"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 9, followed by column 5. For each field use the letter of the pentomino. Use letter "E" for the blackened cells.
Comments
on 15. August 2021, 23:42 by zhergan
Labels revision..
on 11. October 2010, 21:11 by zhergan
Hi to all,
As Christian stated the previous expression in both languages did not fit to the grey cell constraint. So I performed a change according to the Mody's formulation. I hope both descriptions for grey cells in German and English are consistent. If there is a problem please infrom me and send me the correct translations for both languages. Thanks Christian and Mody notifying the error.
Regards,
Zafer
on 11. October 2010, 20:58 by zhergan
Hi to all. The puzzle text is changed a bit!
on 11. October 2010, 17:33 by Mody
Eine mögliche Formulierung wäre:
Haben zwei benachbarte (im "Pentominoalphabet" aufeinanderfolgende) Pentominos eine gemeinsame Kante, so wurden die beiden Felder neben der Kante grau eingefärbt.
on 11. October 2010, 15:55 by CHalb
I think neither the german nor the english description fit. For PentoFit IV this text was absolutely OK. But here in the upper left corner the rule for the grey cells can't be true. Not at each common edge of two adjacent grey cells two Pentominos can touch.
Modesty tried an interpretation, but I do not want to guess the right meaning. Zafer, can you please change the descriptions of PentoFit V and PentoFit VI as well?
on 10. October 2010, 16:32 by Mody
Frage entfernt, weil ich gesehen habe, daß meine Annahme nicht stimmen kann.
Offensichtlich sind mit "Kanten" nicht Seitenränder gemeint, sondern Pentominogrenzen.
on 9. October 2010, 09:09 by ibag
Hat mir auch gut gefallen!
on 9. October 2010, 06:32 by Richard
This one contained much more helpful clues as the previous one, so T&E was much less necessary! Thanks.
on 8. October 2010, 23:29 by zhergan
Hi to all,
I forgot to give a grey painted cell at R6C2. Sorry for the mistake. The figure has changed. Thanks Alex for warning...
