This is a shortlist of my harder logic puzzles. Puzzles in each section are roughly organized from easiest to hardest.
Each row, column, and region must have the digits 1-9 with no repeats.
This puzzle is a chaos construction: 9 orthogonally contiguous regions, each containing the digits 1-9 with no repeat, must be constructed.
Cages indicate the product of each region sum contained in a cage. For instance, if a 4-cell cage contained 1,2 in one region and 3,4 in another region, its total would be . Cages may be contained in one region, in which case, the total is just the sum of the cells. Digits may not repeat in a cage.
On an X-Line, if X is on the line then so must 10-X. Digits may repeat on a line, so 1159 would be a valid X-Line.
Digits in a Killer Cage must sum to the given total and must not repeat.
Divide the grid into 9 orthogonally connected regions of size 9, and place the digits 1-9 in the grid such that each row, column, and region has one copy of each digit.
Then, divide each region into some polyominoes such that no two polyominoes of the same size share an edge.
Digits in a circle indicate the size of the polyomino it is in, and digits in a square indicate the number of polyominoes in its region.
Penpa solvers only: Answer check requires all digits to be filled out, green edges for region borders, and double edges for pentomino borders that are NOT region borders. (All region borders are also pentomino borders because of the rules.)
Divide the grid into 9 orthogonally connected regions of size 9, and place the digits 1-9 in the grid such that each row, column, and region has one copy of each digit.
Then, divide each region into some polyominoes such that no two polyominoes of the same size share an edge.
Digits in a circle indicate the size of the polyomino it is in, and digits in a square indicate the number of polyominoes in its region.
A digit in a clued cell indicates the number of cells seen in the indicated directions combined (including itself). POLYOMINO borders obstruct vision.
Penpa solvers only: Answer check requires all digits to be filled out, green edges for region borders, and double edges for pentomino borders that are NOT region borders. (All region borders are also pentomino borders because of the rules.)
Digits in the 9x9 grid represent skyscrapers of that height. Higher skyscrapers obscure smaller ones. Clues outside the 9x9 grid show the number of visible skyscrapers in the corresponding row/column from the clue’s direction of view. Digits outside the grid do not follow standard sudoku rules. They just need to respect the thermo constraint.
The digits on a thermometer must increase from the bulb to the tip.
This puzzle has some special rules: each thermo displayed in the right grid must be placed in a unique subgrid on the left grid. Moreover, the position of each thermo must not change with respect to its subgrid (meaning no rotation or translation within the subgrid).
In a thermometer, digits must strictly increase from the bulb to the tip.
An example puzzle is shown below.
These aren’t actually vanilla Sugurus, they are Suguru Chaos (De)constructions, a puzzle genre that mathpesto has popularized. Typically the rules are to construct regions of size n with digits 1–n (where n is no greater than 9), and digits in a row/column cannot repeat. Regions cannot be orthogonally adjacent, though they may be diagonally adjacent.
Adjacent digits on a German Whisper line differ by 5 or more. Two cells along the same German Whisper belong in the same region if and only if they are on an orthogonally connected path along the line.
Each line is either a Whisper or a Scream; the solver must determine which. Adjacent digits on a Whisper line differ by 5 or more. Adjacent digits on a Scream line differ by 2 or more, and furthermore, every digit on a Scream must be high (6789).
If two cells along the same Whisper line are not on an orthogonally connected path along the line, then they must not be in the same region. This rule does not apply for Scream lines.
Divide the grid into orthogonally connected regions such that no two regions of the same size share an edge. Also place a number in each cell indicating the size of the region it is in.
Arrows indicate that the nearest cell with value n in the indicated direction is n cells away, where n is the digit in the arrow.
An example puzzle is shown below.
