Puzzle 36: Fillomino Party! Part 1!

LITS Fillomino. Follow usual Fillomino rules. However, there can be no number 4 in the grid; all 4-minoes are replaced by L,I,T,S shapes. All LITS shapes must form a single connected polyomino, no two identical LITS shapes may be adjacent (including after rotation and/or reflection), and no 2×2 region may be completely used by LITS shapes. Basically a cross between Fillomino and LITS that’s invented by mathgrant.

Welcome to my Fillomino party! I’m Shaymin, your host. I’m not sure why I get to host this while some polyomino can be chosen instead, but whatever.
So… You will be served three Fillomino puzzles. To avoid getting too full, we will serve each puzzle 12 hours after the previous, so you will get a 24-hour party. Neat!
Here’s your first puzzle. I heard that this genre is invented by some foxy animal, although I’m sure he’s not a Vulpix or something. Seriously, I can’t recall any Pokemon which is fox-like and is cyan…err, wait, he’s not a Pokemon? Okay then.
This one should be a medium meal. After all, you have 12 hours to digest it before your second meal.

Puzzle 36: Fillomino Party! Part 1!
LITS Fillomino

Yes. Fillomino party. Over the next 24 hours, you will be presented a total of 3 Fillomino puzzles…or probably variants.

This one is a gift for betaveros, for solving Puzzles 34-35. Two spots left! No, the other two puzzles aren’t gifts for Puzzles 34-35 solvers.

Finals in 3 days. Why am I still making puzzles? Sigh.

Puzzle 33: Nope, There’s Totally Nothing Odd Here

Fillomino Warp. Note the orange squares? They act as teleporters. So R2C3, the square above the top-left orange square, is connected to R9C8, the square below the bottom-right orange square, since one can “walk” downward from R2C3 to the orange square, gets teleported, and continues walking downward to R9C8. Similarly, R3C2 is connected to R8C7, R4C3 is connected to R7C8, and R3C4 is connected to R8C7. Note that the orange square itself is not actually a square and cannot have a number. Otherwise follow Fillomino rules.

“The teleportation machine is now complete. With this, one can warp anything from one of the machines to the other.”
“Are you sure it’s safe?”
“Yes, totally.”
“Nothing buggy?”
“None at all.”
“Make a Fillocity with some buildings warped around?”
“That’s…hell.”
“But that will be fun! I promise.”
“Okay whatever. Just make sure nothing goes odd.”

Yes, nothing goes odd. Literally…maybe. Complete the plan. Rated easy-medium.

Puzzle 33: Nope, There’s Totally Nothing Odd Here
Warp Fillomino

Gift to Yoshiap, whose recent Cipher Fillomino is a pretty great piece. You should check his blog out, or at least that particular puzzle. As the prize of solving Puzzle 25, he wanted a Fillomino with an unusual twist. He suggested a Fillomino where each number can only appear in one region (aka all identical numbers must be in a region), but that has been done, sort of.

This one is also a proof of concept. Almost. I tried to play with the 2s at the opening, covering an edge of an orange square to limit the options of some other 2 in the neighborhood of the other orange square, but apparently I didn’t quite get it right. But this one is pretty satisfactory (logically; aesthetically it certainly reaches my standards). Maybe next time I play with Warp Fillomino, I’ll try to make some fun tricks. Or maybe you remember my old piece about a Fillomino put on the surface of a cube? That’s aesthetically pleasing, but if I remember correctly, the tricks are usual for a normal Fillomino. I think I need holes instead of simply several grids connected together somehow to do something fun.

Finally, it’s only one week towards my semester exams. You might not see puzzles for a few days. I’d cap it at 14, but since I’m not a good promise holder, I won’t promise anything. Although maybe non-puzzle posts appear once in a while.

Puzzle 29: Invisible Fillocity

Fillomino Skyscrapers. Follow regular Fillomino rules. In addition, if each number is represented by a building which height is equal to the number, each number outside the grid represents the number of visible buildings when looking into the grid in that direction. A building blocks all buildings behind it which height is less than or equal to the height of this building.

Welcome to Fillocity,  city whose buildings’ heights follow Fillomino rules. The city is known for several unusually large buildings. However, we don’t quite have a map of the city yet, although we have 11 entrances into the city and reports of the number of visible buildings from each of these entrances are consistent. I hope you can figure out where things are. We would consider the difficulty of locating the buildings here medium.

Puzzle 29: Invisible Fillocity
Fillomino Skyscrapers

Story. So I now learn making short stories of 1-2 paragraphs for every puzzle. Hopefully this trend will be sustained for all next puzzles…maybe. Hm.

Also, two people have solved Puzzle 25 and have taken their rewards; Puzzle 31 or 32 will be for this second solver. One more slot to go!

Also, Puzzle 28’s ambiguity, if you get it, has been clarified. I think that’s the only ambiguity, but if there is more, tell me. Now that I’ve said that, I think this puzzle might still have some ambiguity; someone can check it?

Puzzle 28: Mashed Fillomino and Special Puzzle 6: Just Can’t Get A Clear Sky

UPDATE: Here is a new Puzzle 28, 5 months after the original. Yeah.

After a smoothie, I serve a mashed potato—err, a mashed Fillomino.

Fillomino Epic Variation. No less than four variations that made an appearance in the original Fillomino Fillia are in this puzzle: Shape, Even-Odd, Greater Than, and Sum. Follow usual Fillomino rules. In addition, the given shapes must appear in the grid without rotation (because I apparently forgot this rule when constructing, let be so), all even numbers are connected in a single polyomino and so are for odd numbers, all inequality signs must be followed by the numbers in the respective cells, and the sum of the numbers in each cage must match the given. Calling MellowMelon for a better presentation.

Puzzle 28: Mashed Fillomino
Fillomino (Epic Variation)
(click to enlarge)

UPDATE: Ambiguity acknowledged. Assume R2C2 and R3C2 have different numbers. I will soon replace the puzzle with another one which should be similar (S,H,A,P,E shapes and a certain gimmick) but better made. Most likely I’ll use givens as opposed to sum cages and greater than signs…maybe.

So, yeah. My take at a Potpourri; MellowMelon made an extremely hard one that I haven’t solved 1.5 years ago and the post is linked above.

ksun48 solved Puzzle 25, and he asked for a “hard Fillomino variation”. I hope this is sufficiently hard, since otherwise I have a harder puzzle…

Special Puzzle 6: Just Can’t Get A Clear Sky
Fillomino Epic Variation [Count Solutions]

So, what’s the puzzle? You are given a 11×11 grid of Fillomino, and the five shapes as above. The only variations applied are Shape and Star (each row/column must have two stars occupying the space of a monomino each; no two stars are adjacent even diagonally). Count the solutions, and prove it.

I guess the title helps you in some way, but you still need to prove it. Yay.

In case you missed it, I served a smoothie (Puzzle 27) a few seconds ago.