Tag Archives: hybrid

Puzzle 103: Keller, Fences+Dominoes

Next Keller puzzle. Some of the logic may have been lost in completing the domino part for this one. I find the restrictions that the compatible domino tiling imposes on the loop to be quite interesting in this type, the interaction with the domino puzzle as such less so.

rundweg-domino-keller

Rules The left grid is a domino dissection puzzle. Divide the grid into 2×1-areas such that each domino occurs exactly once. The right grid is a standard fences/slitherlink.

The grids interact: Superimposed over the solved domino grid, the fence can’t bisect a domino.

Puzzle 101: Keller, Sternenhimmel+Magnets

Another practice puzzle for the Keller round. This one has a wart, I messed up the sign on the break-in, and don’t see a nice way to fix it. This will have to do. I don’t remember whether it’s actually difficult, beyond the awkwardness of the type.

EDIT: Fixed an ambiguity, thanks uvo.

sterne-magnet

Rules The left grid is a Sternenhimmel. Place some stars in empty cells, such that every arrow points at at least one star, and such that every star is pointed at by at least one arrow. Clues outside the grid indicate the number of stars in the row or column. The right grid is a Magnets grid. Place + and – in some cells, such that every 2×1-plate is either completely empty/shaded (neutral), or has one + and one – (charged). Same signs can’t be adjacent.

The grids interact: Stars may only be placed over charged plates. Arrows over charged cells are rotated (90˚ clockwise for +, counterclockwise for -).

Puzzle 100: Keller, Mosaik+Labyrinth

Here’s a puzzle for one of the types on the Keller round, with superimposed puzzles.

mosaik-laby

Rules Solve the left grid as a Mosaik. That is, shade some cells, such that each number indicates the number of shaded cells in the surrounding cells, including the cell itself (so, 9 is the maximum clue). Solve the right grid as a Magic Labyrinth with digits from 1 to 3. That is, place digits 1, 2, 3 in some cells such that every row and column contains each digit exactly once, and walking along the labyrinth from outside to inside, you visit digits in the repeating order 1,2,3,1,2,…, starting with 1.

The two puzzles interact: Whenever a Mosaik clue is shaded, copy that clue to the Labyrinth in the corresponding position.

Puzzle 98: JaTaHoKu, cryptic

Last JaTaHoKu for now, a JaTaHoKu with cryptic clues. I made a triagonal one, too, but didn’t get around to rendering that yet. Maybe later.

jatahoku1-6crypt

Rules Place numbers from 1 to 6 into some empty cells, such that each row, column and region contains each number exactly once. Clues within the grid are Tapa clues; the numbered cells form a valid Tapa solution with respect to these. Clues along the bottom and right edges are skyscraper clues. Clues along the top and left are Japanese Sums clues, with question marks standing in for unspecified digits. (I.e., 10 would be two question marks.)

Some digits have been replaced by letters. Equal letters correspond to equal digits, different letters to different digits.

Puzzle 97: JaTaHoKu, cylindrical

Another JaTaHoKu, this time cylindrical.

jatahoku1-5cylinder

Rules Place numbers from 1 to 5 into some empty cells, such that each row, column and region contains each number exactly once. Clues within the grid are Tapa clues; the numbered cells form a valid Tapa solution with respect to these. Clues along the bottom and right edges are skyscraper clues. Clues along the top and left are Japanese Sums clues, with question marks standing in for unspecified digits. (I.e., 10 would be two question marks.)

The grid wraps around from top to bottom. Clues along the top act as Japanese Sums clues in order, starting at any group of numbers. Clues along the bottom act as Skyscraper clues, starting at 1. (So for example, a clue ‘1’ is impossible.)

Puzzle 95: JaTaHoKu

Another JaTaHoKu, this one using the full rule set. It’s probably a bit easier than the first one. Note that the given 4s in the grid are Tapa clues.

jatahoku1-5

Rules Place numbers from 1 to 5 into some empty cells, such that each row, column and region contains each number exactly once. Clues within the grid are Tapa clues; the numbered cells form a valid Tapa solution with respect to these. Clues along the bottom and right edges are skyscraper clues. Clues along the top and left are Japanese Sums clues, with question marks standing in for unspecified digits. (I.e., 10 would be two question marks.)

Puzzle 94: JaTaHoKu

Another JaTaHoKu I just made, to prove to myself that it’s possible to make accessible JaTaHoKus. You might want to solve this one before the previous one.

jatahoku1-5twos

Rules Place numbers from 1 to 5 into some empty cells, such that each row, column and region contains each number exactly once. Clues within the grid are Tapa clues; the numbered cells form a valid Tapa solution with respect to these. Clues along the bottom and right edges are skyscraper clues. Clues along the top and left are Japanese Sums clues, with question marks standing in for unspecified digits. (I.e., 10 would be two question marks.)