Category → puzzles

Puzzle 30 / Fillomino [Skyscrapers]

Haha, way-overdue Fillomino-Fillia practice puzzle. This is a Fillomino puzzle; in addition to normal rules, treat numbers inside the grid as building heights. Numbers outside the grid indicate how many buildings can be seen from that direction, where a building blocks all buildings of lower or equal height behind it.

Edit: I should warn that the arithmetic here is pretty annoying.

Puzzle 28 / Fillomino [Nonrectangular]

This is a Fillomino puzzle where every polyomino is required to be nonrectangular (which also bans squares). Write a number in every empty cell so that every group of cells with the same number that is connected through its edges is a shape that’s not a rectangle with that number of cells.

Fillomino-Fillia 2 is coming! Anyway I don’t know how to judge difficulty but this is probably terrible practice. I should try a Skyscrapers if I can keep pretending USH homework doesn’t exist which I probably shouldn’t.

Puzzle 27 / LITS

Nice and tricky. (I think.)

In fact I tried to be too tricky and spent a very long time fixing an ambiguity. It was worth it though.

LITS - Nikoli. Exactly one tetromino per region, no 2x2s, they’re connected, adjacent tetrominoes are noncongruent.

Puzzle 26 / Double Back

That’s not a picture. Why is it recreated as one? Oh well.

You can interpret this as me about reaching level 8.1 (the user ranking) on rankk or complaining about how infuriating level 8.1 (the puzzle) is. I’m torn.

This is one of a bunch of MellowMelon’s Double Backs. Briefly, draw a closed loop through all square centers visiting each bold-outlined area twice. Shaded cells do not influence solving, only aesthetics.

Puzzle 25 / Double Back

Most uncreative picture ever! But it’s suitable after CiSRA’s Puzzle Week. This might be the first time our AoPS team managed all four puzzles in a group.

…sigh, now I must handle the guilt for squeezing out so much time from my normal schedule.

This is one of a bunch of MellowMelon’s Double Backs. Briefly, draw a closed loop through all square centers visiting each bold-outlined area twice. Shaded cells do not influence solving, only aesthetics.

Puzzle 22 / Fillomino [Sashigane]

This is a Fillomino puzzle where every polyomino is required to be an L-shape, as in Sashigane. Write a number in every empty cell so that every group of cells with the same number that is connected through its edges is an L-shape (with arms of positive length and 1-cell thickness) with that number of cells.

May be slightly reminiscent of no-rectangle Fillominoes. Slightly… (Has anybody done this before? It seems so interesting that I feel like I couldn’t be first.)

Puzzle 21 / LITS

I made this a long time ago but put it off until I had programmed enough to digitize it without my fingers leaving the home row. I think the finish is interesting.

LITS - Nikoli. Exactly one tetromino per region, no 2x2s, they’re connected, adjacent tetrominoes are noncongruent.