The unique rectangle sudoku puzzle has proven to be intriguing and popular because it presents solvers with an alternative way of approaching the classic Sudoku puzzle.
The main difference between the traditional sudoku and the unique rectangle sudoku is that in the unique rectangle sudoku, no number can appear more than once in each row or column.
Because of this difference, this unique rectangle sudoku puzzle can present new challenges to Sudoku veterans who may be looking for a new challenge to tackle every day when they sit down to solve their favorite puzzles online.
The Unique Rectangle Sudoku follows the same rules as your standard sudoku, but instead of a 3×3 grid, you have two 3×2 grids divided by one row and one column.
It’s possible to create unique rectangle sudoku with 16 unique cells on each side.
The unique rectangle sudoku adds more strategy and challenges to the traditional sudoku puzzle, but it can be solved using the same logic as other sudokus.
What is unique rectangle sudoku?
A more advanced technique is Unique Rectangles.
The term Unique derives from the rectangle formed from two locked combinations.
We are still unable to create an object where this rule is violated because each Logic puzzle should have a unique solution.
If a Sudoku does have a solution that is not unique, we can replace the numbers but still have a correct Sudoku with no duplicates by highlighting various rectangles that share sets of rows, sets of columns, and two blocks.
The examples given below will illustrate a subcategory of the logic that can be derived from the uniqueness requirement; if you discover a scenario that makes it appear to be comparable, carefully consider the effects of leaving the Sudoku in an invalid state.
Analyzing the deadly Pattern of A typical Rectangles Sudoku
In the puzzle, a Deadly Pattern is defined as a grouping of possible solutions that results in multiple solutions to the puzzle.
Consider the following example: a puzzle with only two unsolved cells that contain the same two candidates has two possible solutions.
When solving a good Sudoku puzzle, it should have an original solution; as a result, it should not result in a “Deadly Pattern” when done properly.
In this strategic plan, we’re looking for additional Deadly Patterns that include two candidates in 4 Cells that form a rectangle: 2 Cells into 2 Rows and 2 Columns total, and 2 candidates in 2 Rows and 2 Columns total.
The figure in Introduction shows 2 different rectangles, each of which can be divided into 4 cells.
The sequence in red marked A is organized into four conjugate sets of 4/5.
They are contained in 2 rows, a set of columns, and 2 boxes.
A group of four sets is impossible in a Logic puzzle only with one solution.
What’s the new agreement with this?
Choose whatever cell with a rating of 4/5. If the cell answer is 4, we can quickly decide what another three cells are.
Moreover, it is possible to have 5 in that cell and the others to be the inverse.
There are 2 options to any Sudoku with this lethal pattern. If you’ve reached a point, something must have gone wrong with your solution.
Although the green-ringed pattern appears to be lethal, there is a critical distinction.
The 7/9 remains divided into two rows and two columns, but there are four boxes instead of two.
This is appropriate because changing the seven as well as 9 in a different order doesn’t guarantee that 2 possible Sudokus will result.
One seems to be genuine, while the other is a complete mess.
By switching the seven as well as 9, the boxes are becoming different, and the numbers 1 through 9 must seem to be just once in each box.
In the red example, swapping within the box does not affect its content.
Case.1 Unique Rectangle
By comparison, a very well grid will always make sure that there is an extra candidate in with at least one of the rectangle’s cells.
This would be the cell’s answer, and it is necessary to break the deadly pattern.
The 4 cells containing the pair 2/3 form a distinct rectangle in this e.g. because they are unchanged by another cell in the grid.
As a result, they may end up with the double solution, even as the position of the 2–3 is irrelevant.
Even though, there are 2 extra candidates in one of the rectangle’s cells: 1 as well as 8.
These are the digits that will signal the end of the pattern’s deadly cycle.
The 2nd and 3rd possibilities are no longer viable for that cell.
Case.2 Unique Rectangle
The Type 2 method is focused on the same assumptions as of Type 1 strategic approach, and rather than providing a solution, it helps in candidate reduction.
The very same placing as the first one is found, however, this time two cells comprise the equivalent additional candidate.
If indeed the cells in those regions share the very same row, column, and/or group, the digit could be removed as a possible candidate for another cell in those locations.
In this puzzle, the no 7, as well as 6, form a deadly pattern, with 4 acting as an extra digit.
Given the fact that this digit is required to break the pattern, the player is conscious that the solution will be situated in those two cells.
As a consequence, no other cell in that group or row is a candidate. The figure 1 red digits are removable.
Case.3 Unique Rectangle
The basic rectangular sequence is combined with the principle of locked sub-sets in this method.
As with Method 2, this same pattern’s systems cells contain extra candidates, however, the numbers are different.
On the other hand, those cells will surely become the solution to one of them.
The player must then start looking for a cell containing just the set of pattern breakers.
Furthermore, it must be attached to the base cells.
When pattern breakers are accessible, they can be ruled out with applicants for those other cells in the shared areas of the sequence and that cell.
In this example, the numbers 8 and 3 are the pattern breakers. The player is knowing that one of the 2 will take up residence in one of the two cells.
Likewise, their column contains a cell that contains only this pair as candidates (highlighted in orange).
As a result, if three is the pattern breaker, the orange cell’s answer is one. If the first is the pattern breaker, the third is the solution.
In those other words, the player is aware that one of the three cells will contain the numbers 1 and 3. They can then be deleted from the remaining cells in the column.
Case.4 Unique Rectangle
The Type 4 strategy is a sub-set of the Type 2 method. Furthermore, the two methods can be merged.
Similar to the Type 2 method, where the player must find the same pattern breaker in 2 separate cells that share a column as well as row, the Type 4 technique requires the player to discover the same pattern breaker in 2 separate cells that discuss the same block.
The player is aware that all these two cells will contain both the additional candidate and a digit from the deadly pattern.
If one of the base pair’s digits does not correspond to a cell in that row, column, or block, the pair’s second digit becomes incorrect in those two cells.
The pair 1/5 forms the deadly pattern in this eg, with the 6 acting as the pattern breaker.
The player is aware that one of the orange cells will contain a 6, while the remaining orange cells will contain a 1 or a 5.
The 5, on the other hand, is ineligible to play any other position in that block.
It further means that the 6 & 5 form a hidden pair in the orange cells.
As a result, neither of them considers the 1 a viable option.
Case.5 Unique Rectangle
In this strategy, the player attempts to find 2 or 3 cells that have the same pattern breaker but aren’t in the same column, row as well as block.
But it’s not impossible to eliminate the possibility that it could be a candidate for every cell that is affected at the same time by those cells.
How to Play unique rectangle sudoku
There are many different ways to play Sudoku.
One of the most challenging and unique ways to play is by using rectangles.
This method can make the game more challenging and fun.
Here are a few tips for playing rectangle Sudoku:
- Use all 9 rectangles on the grid. This will make the game more challenging and fun.
- Think outside the box. Just because a number is in one rectangle, doesn’t mean it can’t be in another.
- Use the clues to help you solve the puzzle.
There are a few extra tips that can help you when playing rectangle sudoku.
- The first is to identify the two main sections of the grid. The left section will contain all of the 1s, while the right section will contain all of the 9s. This will help you to focus on a smaller section of the grid and make it easier to find candidates for those squares.
- The second tip is to look for patterns. In rectangle sudoku, there are only two possible patterns: ascending and descending. Look for squares that have candidates that follow one of these patterns, as this will make it easier
Hidden unique rectangle sudoku
There are a few different things that make a hidden unique rectangle sudoku puzzle different from a regular Sudoku puzzle.
For one, the hidden unique rectangle sudoku puzzle has an added hidden constraint: the numbers in each row and column must total the same number.
In addition, the numbers in each 3×3 grid must also total the same number. This means that there are only a certain number of possible solutions for the hidden unique rectangle sudoku puzzle.
Unique Rectangle Video Tutorial
Unique Rectangles Part 2
This article showcased a unique sudoku puzzle with a rectangle shape. If you enjoyed this puzzle, follow us for more like it. We will be posting new puzzles every week, so be sure to check back often.
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