Pentominoes Dimensions Inequalities
(Published on 18. June 2021, 15:59 by RockyRoer)
I've made lots of sudoku puzzles - this is my first experience branching out into non-sudoku setting. Hope you enjoy!
If you liked this, here is another that uses this concept in another way: Pentomino Skyscrapers
The Rules:
- Fill the grid with pentominoes. Pentominoes of the same shape (even after reflection or rotation) are not allowed to touch.
- A horizontal inequality sign separates pentominoes, and the symbol refers to the WIDTH. A vertical inequality sign separates inequalities and refers to the HEIGHTS.
- In the example puzzle, the I pentomino has a width of 1, the S-(red) has a width of 2, and the T has a width of 3, so the inequalities in R1C123 are satisfied.
- In the example puzzle, the S-(red) pentomino has a height of 4, the V has a height of 3, so the inequality in R23C2 is satisfied.
Example:
The Puzzle:
Penpa link with answer check. Only check's edges drawn in green.
Solution code: For each cell in row 9 of the puzzle, the width of the pentomino it is in, then for each cell in column 2, the height of the pentomino it is in. (20 digits). Example with row 4 and column 2 would be: (13222 44333)
Comments
on 30. June 2021, 14:23 by glum_hippo
Your description should call the 'V' pentomino a 'V', not an 'L'.
Looks intriguing! I will definitely try this one.
REPLY: thanks - description has been edited. By the way, the other puzzle i posted using this concept may be interesting too -- you may want to take a look at that too. Not sure which is 'easier' they both use similar yet different logic. Good luck!
--yes, I saw it and will try it also
on 26. June 2021, 15:39 by RockyRoer
Added link to follow up puzzle.
on 20. June 2021, 11:39 by marcmees
nice idea. thanks.
on 19. June 2021, 04:15 by RockyRoer
Added pentomino tag
on 18. June 2021, 19:15 by SudokuExplorer
Interesting idea, thanks!
