A second symmetric LITS. As before, solve as LITS, such that the shaded cells are symmetric around the centre.
Puzzle 47: Symmetric LITS
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Puzzle 46: Kaputte Bahnhöfe
Here’s some broken train stations to celebrate placing first in the recent Bahnhöfe series on CrocoPuzzle.
Rules Blacken one of each pair of identical numbers, then solve as a regular Bahnhöfe puzzle: Draw a loop that visits every cell (except the blackened stations), travelling vertically and horizontally. The loop crosses itself at the cells marked ‘+’, and can not touch itself otherwise. The loop goes straight through each (unblackened) number, and visits them in order.
There’s an example on the wiki.
Puzzle 45: Symmetric LITS
Here’s a LITS puzzle, with the extra constraint that the solution must have 180º rotational symmetry around the centre. I wouldn’t be surprised at all if this had been done before.
Puzzle 41: Fractional Skyscrapers
Here’s another fractional skyscrapers puzzle. Numbers 1-7. Edit: flipped, prettier this way.
Puzzle 40: Fractional Skyscrapers
Guess I had skyscrapers on my mind after batch-solving the first week of Roland Voigt’s daily puzzles. No, it doesn’t solve as a tightfit skyscraper puzzle.
Rules Place a number between 1 and 6 in each cell (one in each triangle for divided cells) such that each row and each column contains every number from 1 to 6 once. Reading the divided squares as fractions, the numbers in the squares represent the heights of skyscrapers. Clues outside the grid indicate the number of skyscrapers that can be seen when looking into the corresponding row or column. Skyscrapers block the view to any other skyscrapers of smaller or equal height behind them.
Example
Puzzle 38: Split Pentominos
An update, finally. I’ve been busy starting a new job. This is a split pentomino placement puzzle, as seen in this year’s puzzle GP, a candidate puzzle for the GP finals which were held today during the WPC in London.
Rules Place a full set of pentominos across both grids, such that they don’t touch, not even diagonally. Clues count the number of cells that are part of pentominos in the corresponding row or column.
Puzzle 37: Höhlenbahnhöfe
Last of the set. This is a type that really benefitted from preparation, it takes some getting used to. The contest puzzle ended up going mostly smoothly, unfortunately I ended up spending a lot of time resolving a non-contradiction in one part of the puzzle.
Rules Shade some cells to leave an orthogonally connected set of cells (the “cave”) that doesn’t enclose any shaded cells. All clues must be within the cave. Then draw a path through the cave that travels horizontally or vertically between cell centres that visits all unclued cave cells and doesn’t touch or intersect itself. This path passes through some (at least one) consecutive clues in ascending order, starting at 1 and going straight through any clue. The clue 1 is in the second cell of the path, the highest clue as in the second-to-last cell of the path. The remaining clues are usual cave clues: they count the total number of cave cells that can be seen in horizontal or vertical direction from that cell, including the cell itself.
See the puzzle wiki for German rules (that allow the usual Bahnhof crossings) with an example.
Puzzle 36: Masyu Reconstruction
Second to last in the series, this is a Masyu Reconstruction. The one on the contest turned out to be pretty similar in style. The type could also go another way, with a heavier focus on making a puzzle unique with few givens.
Rules Place black and white pearls in some cells to form a valid Masyu puzzle, such that the clues in a row or column are equal to the outside givens in that order.
Puzzle 35: Hitori Rundweg
Here’s another one from the LM preparation. EDIT: new version fixing an ambiguity.
Rules Shade some cells, such that there’s at most one unshaded copy of any number within a row or column. Shaded cells must not share an edge. Then draw a single loop that travels horizontally and vertically between cell centres that visits all unshaded cells.
Puzzle 34: 123-Box
Another training puzzle, this is a 123 box, a variation on the ABC box that was introduced at the German Logic Masters.
Also, I’ve posted a Doppelter Rundweg on the puzzle portal. That one is probably the hardest puzzle I’ve constructed to date.
Rules Put a number from 1 to 3 in each cell. The hints correspond exactly to connected groups of equal numbers within that row/column. A number clue stands for a group that consists of that number, or is that size, or both. A question mark clue stands for an arbitrary non-empty group.
There’s an example with the (German) instructions on the puzzle wiki.
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