### Rules

In addition to standard Kakuro rules, the grey shaded cells must form a valid Sudoku solution

### Puzzle

The puzzle can be found in this printable PDF, or in the image below.

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# Category: Variations

## Sudoku embedded in a Kakuro

### Rules

### Puzzle

## Killer Sudoku Hybrids

### Star Battle Killer

### Butterfly X Nurikabe Killer

### Killer Battleships

## Trapezoids Compound

# PDF Trapezoids Compound e-book

### Round 1 – Base Rules

### Round 2 – Simple Givens

### Round 3 – Unshaded Givens

### Round 4 – Row Counts

### Round 5 – XOR Dots

### Round 6 – XY Givens

### Round 7 – Interior Borders

### Round 8 – Obstructions

## Killer Bossa Nova

### Rules

## Jigsaw Killer Sudoku

### Rules

## Knight Non-Consecutive Killer Sudoku

### Rules

## Extra Groups Killer Sudoku

### Rules

In addition to standard Kakuro rules, the grey shaded cells must form a valid Sudoku solution

The puzzle can be found in this printable PDF, or in the image below.

Over these last few weeks I’ve returned to my roots with a few Killer Sudoku variants, which I recently posted to the Daily League on Facebook. I have a few more ideas, but they’ll have to wait until after finals.

Place the numbers 1-8 and two stars in each row, column, and jigsaw group. Stars cannot touch each other, even diagonally. Numbers cannot repeat within cages. Stars count as 0 in cages.

This puzzle is made up of four overlapping 9×9 Sudoku grids arranged in a butterfly pattern (1 in each corner), each with it’s own set of main diagonals, which must contain the numbers 1-9. The sum/size of all cages are given, but not their shapes. The shapes of cages must form islands in a valid Nurikabe solution. Givens are shaded, and thus cannot be part of a cage.

Classic Sudoku rules apply. Additionally, a fleet of battleships must be placed into the grid, such that they do not touch, even diagonally. Cells occupied by the battleships must add up to the sum associated with each ship, and any cell sharing an edge with a ship cannot contain any of the numbers inside the ship. Numbers on the outside of the grid indicate how many cells in that row or column are occupied by a ship. Givens are “sea” squares, and cannot contain a ship.

I’m happy to announce my first e-book release on this blog! I borrowed an idea from David Millar, whose Area 51 puzzles combine clues from Slitherlink, Fences, Cave, and Masyu. I wanted to see how far I could take this idea, layering as many types of clues as I could into one of my own puzzles.

This collection of 20 puzzles introduces 8 different types of clues and explores how they interact with each other. Most of these puzzles are Hard to Expert difficulty, so expect a challenge. If you would like some easier puzzles to start out on, check out the original Trapezoids post from June.

Here is the e-book in pdf form laid out and formatted to letter size:

The content of the e-book in blog form follows, except the solutions.

Standard Trapezoids rules:

Shade some cells such that numbers indicate exactly how many surrounding cells are shaded. Shaded cells must be in edge-connected clusters of 3, forming trapezoids. A trapezoid may not share an edge with another trapezoid. All remaining unshaded cells are connected edge-to-edge.

Some shaded cells are given.

Cells with single or double circles must be unshaded, and thus must be connected to the remaining unshaded cells. Cells with a single circle must be touching exactly one shaded cell. Cells with a double circle must be touching exactly two shaded cells.

Numbers on the outside edge of the grid indicate the total number of shaded cells in the indicated row. Only shaded cells, including givens, are counted.

Dots on the border between two cells indicate that one cell is shaded and the other is not.

Some shaded cells are given, marked with an X or Y. **EITHER** all of the cells with an X have one neighboring shaded cell and all of the cells with a Y have two neighboring shaded cells **OR** all of the cells with an X have two neighboring shaded cells and all of the cells with a Y have one neighboring shaded cell.

Trapezoids cannot cross interior borders. The interior borders create regions, each of which must have at least one shaded cell. Interior borders do not block unshaded cells from connecting.

Large black dots inside of a cell represent obstructions, which block unshaded cells from being connected. Additionally, obstructions cannot “see” each other; in any row of cells in which there is more than one obstruction, at least one of the cells between them must be shaded. Just like in row counts, a row of cells is either 0° (horizontal), 60° or 120°. Obstructions must be connected to the mass of unshaded cells. Obstructions are not counted in row counts.

For my 99th puzzle on this blog, I revisited my archives and brought out another Killer Bossa Nova, designed in October 2007.

Standard Bossa Nova Rules. Clues are given as cages in which numbers must add up to the given value. Numbers may repeat within cages.

Killer Sudoku rules apply. Instead of 3×3 blocks, the nonets (bold-outlined groups of 9) are differently shaped. These bold-outlined groups must contain the digits 1-9 without repeating.

In addition to standard Killer Sudoku rules, no two cells a knight’s move [2,1] away from each other can be consecutive. For example, a 5 cannot be a knight’s move away from a 4 or a 6.

This puzzle from the archive was designed in June 2006.

1. Standard Killer Sudoku Rules apply.

2. The numbers along the diagonals must be 1-9 exclusive.

3. Colored regions refer to Extra Groups, which must also be 1-9 exclusive.