# Rey's Puzzles

Difficulties are marked according to the Logic Masters Germany scale. These are just my best guesses, so please let me know if you have a different opinion!

## Fillomino Chaos Construction 2 #

Published on June 5, 2023.

*Difficulty: 5*

*Tags: Sudoku, Chaos Construction, Fillomino, Sightlines*

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.)

## Fillomino Chaos Construction #

Published on May 22, 2023.

*Difficulty: 5*

*Tags: Sudoku, Chaos Construction, Fillomino*

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.)

## Monster Without A Name #

Published on March 11, 2023.

*Difficulty: 4*

*Tags: Sudoku, Chaos Construction, Monster Cages*

This puzzle is a chaos construction. 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 (1+2)x(3+4)=80. 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.

## Monster Cages #

Published on March 4, 2023.

*Difficulty: 2*

*Tags: Sudoku, Chaos Construction, Monster Cages*

This puzzle is a chaos construction. 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 (1+2)x(3+4)=80. 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.