Archive for the ‘Fillomino’ Category
Rules (from the Fillomino-Fillia 2 booklet): In addition to the usual rules, the numbers in the grid should be treated as building heights. Numbers on the outside of the grid tell how many buildings are visible when looking from that direction. A building obscures all buildings behind it whose height is equal to or smaller than itself.
Notes: This puzzle is brought to you by the numbers 1, 2, 3, 4, and 5.
If you haven’t done Fillomino-Fillia 2 yet, there’s still time! You can still start the test any time in the next 3 hours or so. And even if you don’t plan on competing, you should definitely do the puzzles afterwards, because they are amazing.
This is a Fillomino, with the added rule that in any row or column, all cells with the same number must be part of the same region. In other words, no two regions of the same size can share any row or column.
Also, in case you haven’t heard, Fillomino Fillia 2 will be held at LMI this weekend, and it’s definitely going to be awesome, so everyone reading this should do it! I might create and post some practice puzzles this week if I have the time.
This is a fillomino with the extra restriction that all prime-sized regions are contiguous and all composite-sized regions are contiguous (1s don’t matter).
Notes: Thanks to Cy Reb, Jr. for the original concept.
I think many more cool things can be done with this kind of variation (several groups of polyominoes needing to be contiguous), and this puzzle isn’t very interesting when it comes to creatively using the condition, but I hope you all enjoy it anyways.
This is a Fillomino puzzle, with the additional rule that no region can be a rectangle.
Notes: Original variation idea by mathgrant.
I also wish I could create puzzles more frequently, but this past week has been hell studying for the SATs. Oh well.
This is a Fillomino with a slight twist. Instead of no two regions of the same size touching, in this puzzle, no two regions of the same size may even be in the same row or column. In other words, if two 5’s, say, appear in the same row or column, then they need to be part of the same region.
Notes: I made up this (probably not original) variation and subsequent puzzle yesterday (thanks to my study hall-mate matt for testing!). The new rules can make for some slightly interesting deductions, but they’re not as flexible. Anyways, I hope you like the theme, and if you can come up with a concise name for the variation, please say so. 😀
This is a fillomino in which all numbers have been replaced by letters. All instances of the same number are replaced by the same letter, and no two distinct letters represent the same number.
The extra letters on the left half don’t mean anything; they’re just there to make the puzzle work out.