Is 3D Sudoku possible?

The puzzle solves like a regular Samurai Sudoku, with a range of overlapping grids and regions, except that in 3D Sudoku these constraints are more varied and consist of rows overlapping in one of three different directions. As with all of our logic puzzles, there is only ever one possible solution.

How does 3D Sudoku work?

3D Sudoku is the ultimate challenge for an fan of Sudoku puzzles. With three times as many numbers than normal Sudoku, follow the colored lines and complete the rows and boxes with the numbers 1-9.

What is a bent triple in Sudoku?

Notice that the three cells constituting the XY-Wing form a naked triple. It’s just that this triple is “bent” — the three cells are not in the same row, column, or block.

What is the digit rule in Sudoku?

In a sudoku region each digit appears exactly once. For example, if a digit appears in a row, it cannot be in any other cell in the row. Likewise, each digit can appear in a cage only once. If a digit is in a cage, it cannot appear in that cage again.

What are the rules of Sudoku?

Sudoku is a puzzle based on a small number of very simple rules:

Every square has to contain a single number.
Only the numbers from 1 through to 9 can be used.
Each 3×3 box can only contain each number from 1 to 9 once.
Each vertical column can only contain each number from 1 to 9 once.

Are there any Sudoku puzzles that have no solution?

For small values of N the number of ways to tile the square (excluding symmetries) has been computed (sequence A172477 in the OEIS ). For N ≥ 4 some of these tilings are not compatible with any Latin square; i.e. all Sudoku puzzles on such a tiling have no solution.

What makes a Sudoku different from a normal Sudoku?

Ordinary Sudokus (proper puzzles) have a unique solution. A minimal Sudoku is a Sudoku from which no clue can be removed leaving it a proper Sudoku. Different minimal Sudokus can have a different number of clues.

Which is the middle cell in Sudoku in the third dimension?

The purple arrowheads connect three cells together. The middle cell is either the sum or the difference of the two outer cells. For example, looking at the top-left arrowhead on the puzzle, if there was a 2 in the bottom left of the box, and a 5 in the middle, the middle left cell could be either a 3 or a 7.

What’s the difference between band and stack in Sudoku?

A band is a part of the grid that encapsulates 3 rows and 3 boxes, and a stack is a part of the grid that encapsulates 3 columns and 3 boxes. A puzzle is a partially completed grid, and the initial values are givens or clues.