Tag Archives: variant

Puzzle 120: Hochhausblöcke

Some more Hochhausblöcke. In other news, the 10×10×10 series on croco-puzzle continues, and I submitted a few puzzles to the excellent puzzlepicnic, including a Fences puzzle where I’m curious to know if people find the intended break-in, and a Yajilin.

hochhausblock1

Rules Place numbers from 1 to 4 in each cell so that each row and column of each 4×4-block contains all numbers 1 to 4. Circled numbers are valid skyscraper clues for the adjacent grid (for both adjacent grids in the central corners). Uncircled numbers are not valid skyscraper clues for the adjacent grid (for neither adjacent grid in the central corners).

Puzzles 107, 108: Hochhausblöcke

To make it a full two weeks of post-LM posts, here are two more Hochhausblöcke. One with the maximal number of givens, one with the minimal number. (There are some more of each, but these are the nicer ones. The minimal one requires a well-placed deep case distinction, or I do at least.)

hochhausblock-max hochhausblock-min

Rules Place numbers from 1 to 4 in each cell so that each row and column of each 4×4-block contains all numbers 1 to 4. Circled numbers are valid skyscraper clues for the adjacent grid (for both adjacent grids in the central corners). Uncircled numbers are not valid skyscraper clues for the adjacent grid (for neither adjacent grid in the central corners).

Puzzle 102: Trinudo

Another break, this time for the series of Kellers. This one didn’t come out quite the way I wanted and could use a bit of polishing, but…

trinudo

Rules Split the grid into areas of size 1, 2, 3 such that areas of equal size don’t touch along an edge, and such that any given number is contained in an area of that size. (I.e., Fillomino with areas of size at most 3.)

Puzzle 93b: Regular Tapa

I thought the underlying “regular” Tapa from the JaTaHoKu I published earlier was worthy of a dedicated post. Is there a name around for this variant?

While resolving this one will require a few case distinctions, it does have a reasonable break-in, and is quite doable if you choose the right spots. It’s possible that prescribing the number of shaded cells is not necessary, give it a try with three shaded cells per row/column.

tapa-regular

Rules Solve as a regular Tapa. Additionally, there must be exactly four shaded cells in every row and column.

Puzzle 99: Hochhausblöcke

Hochhausblöcke is a neat skyscraper variant that showed up in the Rätselportal round. They’ve usually been less regular, but from the instructions it was clear that the one on the competition would be an 8×8-grid. I thought there was a good chance of a puzzle without outside clues, and certainly the interactions involved there need more practice, so I tried to construct such a puzzle. I kept running into dead ends, started doubting that they exist at all, and threw the computer at the problem. It turns out that there’s a lot, but they’re rare enough: there’s a good 200000 excluding symmetries, or a little under 1% of all clueless grids you could write down. It should not be unreasonable to find one by hand. Here’s one.

hochhausblock-v

Rules Place numbers from 1 to 4 in each cell so that each row and column of each 4×4-block contains all numbers 1 to 4. Circled numbers are valid skyscraper clues for the adjacent grid (for both adjacent grids in the central corners). Uncircled numbers are not valid skyscraper clues for the adjacent grid (for neither adjacent grid in the central corners).

Puzzle 96: Ecken- und Kantenrundweg

As a bit of a breather before posting more JaTaHoKus, here’s a puzzle for one of the new types, at least I hadn’t seen it before. It was on the mixed round of the Logic Masters. It’s an “edge and corner fences”.

eckenundkanten

Rules Draw a single loop consisting of vertical and horizontal segments between dots that does not touch or cross itself. Clue numbers indicate the number of adjacent edges and corners that are used by the loop.

Puzzle 92: Transparent Kuromasu

Here’s a Transparent Kuromasu. Like the Horse Snake last week, this type occurred on Prasanna’s transparency-themed round at the Polish championships in back in April.

transparent-kuromasu

Rules Shade some cells, so that shaded cells don’t touch by edge, and such that all unshaded cells are connected by edge. Clues (which may be shaded) indicate the number of unshaded cells that can be seen in horizontal and vertical direction, including the clue cell.

Puzzle 90: Horse Snake

Here’s a Horse Snake puzzle.

horse-snake

Rules Shade some cells to form a snake which does not touch itself, not even diagonally. Head and tail are given. Clues indicate the number of shaded cells that are a knight’s step away from the clue. Clues can’t be shaded.

(I’m pretty sure you can drop the “can’t be shaded” part and solve this as a “transparent” Horse Snake.)