Puzzle No. 488 – Fillomino [Instructive]

Check this post for reference on this blog’s 3 main types of posts from now on.

The instructive post-type is (for now) mainly a way to “rehearse” my way of explanation for a certain target audience, while also giving the general puzzle solvers an easy puzzle to solve. I will not cover any complex techniques here, because the end result I’m looking at is designing a curriculum with more detailed explanations. I will mostly just hint at the starting point and a basic technique that’s necessary to solve the puzzle in question.

The instructive PDF’s definitely just for complete newcomers to the puzzle type, so I’m posting the puzzle image below the PDF anyway, so the experienced solvers can solve it directly.

Enjoy!

P488

Puzzle No. 478 : Christmas Loop

Just about got a crazy idea in time to execute it on Christmas day. Thanks to Chaotic Iak and Tiit Vunk for testing this one. The puzzle itself is pretty difficult. The rules are complex. So, Merry Christmas everyone! *evil laugh*

Oh and thanks to Tawan for hosting the wonderful contest Colour Restore, which I won, because I’m the KING of Rock-Paper-Scissors B-) Actually, that’s where the entire inspiration for this idea started, the colours, which is mainly why I wanted the colours to be able to help in the solve in some way. So thanks for that too.

Rules –

Part 1 – Cipher Fillomino – Using Fillomino rules, divide the grid into regions. The numbers are all replaced by colours. Same numbers are represented by the same colour, and different numbers by a different colour.

Part 2 – Regional Railroads – Draw a loop that passes through every cell of the grid and doesn’t overlap itself. It can cross only on cells with a + sign and has to cross on every cell with a + sign. Each region in the grid must have at least one continuous instance of the loop passing through all it’s cells.

Part 3 (Not necessary for the puzzle to be unique. You can skip ahead to the puzzle with the rules above without this helper) Colour Combinations – The 3 common ways that colours mix to form other colours ((Red, Blue, Purple)(Blue, Yellow, Green)(Red, Yellow, Orange)) will form 3 groups where the colour values can make the arithmetic equation A+B=C valid somehow. (e.g. Red +Purple = Blue)

Rated – Hard of course.

If you want an easier version than even the part 3 helper, here’s an image with the equations between colours directly given.

P478

Puzzle No. 472, 473 : Shakashaka, Fillomino

Heh. Will get back to Tuesday-Thursday-Sunday from the coming week. Also, my Puzzle posts will be Tuesday and Sunday now, and the Daily League post will be on Thursday. This is to accommodate Richard Stolk on Tuesdays.

Anyway,

Rules –

P473 – Rules for Fillomino.

Enjoy!

P472

P473

Puzzle No. 436, 437 : Fillomino, Tapa

As promised, here’s 2 puzzles to make up for missing out on Sunday. The Fillomino’s just something I made to explore the middle pattern. The Tapa is one of those that was meant for elsewhere, but the theme was pretty nice so I decided to move it here. Its got my favorite (symmetric clues have same sums) theme, while all symmetric clues are still different. Its also got a decent un-clued space in the middle.

P436 –

Rules for Fillomino.

Rated – Medium (easy side).

P437 –

Rules for Tapa.

Rated – Easy.

Enjoy!

P436

P437