What is a hidden unique rectangle in Sudoku?

Hidden Unique Rectangles are instances where the deadly pattern is more hidden under a clutter of additional candidates. In most cases Hidden Unique Rectangles only have a single bi-value cell and the other three cells contain the two common candidates plus one or more additional candidates.

What is a hidden rectangle in Sudoku?

HIDDEN UNIQUE RECTANGLE (TYPE 2) : If two corners of the rectangle in the same Row/Column are "Bi-Value" Cells with the same candidates (forming a Naked Pair), if the candidates present in these "Bi-Value" Cells are also present in the two other corners of the rectangle among other candidates, and if one of these ...

What is a Type 4 unique rectangle?

A Type 4 Unique Rectangle occurs when one of the digits belonging to the non-unique rectangle forms a conjugate pair in cells that have additional candidates. Thanks to this, we can remove the second digit of the non-unique rectangle from these two cells.

What is the ambiguity rule in Sudoku?

During this process the designer must be careful not to remove two numbers that would cause an ambiguity (where those two numbers could be swapped and the puzzle could be completed two different ways, therefore having two solutions). This is what is called the sudoku ambiguity rule.

What is a unique rectangle in maths?

A rectangle is uniquely characterized by its length (L) and width (W). Both length and width are different in size. If we have the length and the width of a rectangle then we can draw a unique rectangle. Hence, only two measurements are required to draw a unique rectangle.

Sudoku Mastery: Hidden Rectangles and WXYZ Wings

What is Type 5 unique rectangle?

Unique Rectangle Type 5

With this strategy, the player finds two or three cells with the same pattern breaker but these are not necessarily connected by row, column and/or block. However, it is still possible to remove it as a candidate to all the cells that are simultaneously affected by those cells in the pattern.

Why is a rectangle unique?

A rectangle is a special case of a parallelogram in which each pair of adjacent sides is perpendicular. A parallelogram is a special case of a trapezium (known as a trapezoid in North America) in which both pairs of opposite sides are parallel and equal in length.

What is the uniqueness rule in Sudoku?

As an application one has the Uniqueness Argument: Whenever one has a nonempty set of initially open cells, and two candidates at each of those cells, such that among these candidates each value occurs zero or two times in each row, column and block, then the actual solution differs in at least one cell from both ...

What is the 45 rule in Sudoku?

The 45 rule is a basic solving-technique in Killer Sudoku. Each house (row, column, nonet) must add to 45 (the sum of the digits 1 through 9).

What is the hidden triple rule in Sudoku?

"Hidden triples" applies when three cells in a row, column, or 3x3 block contain the same three Notes. These three cells also contain other candidates, which may be removed from them.

Is square a unique rectangle?

A square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

What do we need to construct a unique rectangle?

If we have the length and the breadth of a rectangle then we can draw a unique rectangle because we know already that all the vertex angles are equal to 90∘. Hence, only two measurements are required.

Is Type 4 rare?

How Rare are Enneagram 4s? In a Truity study of more than 54,000 respondents, Type Fours were found to make up approximately 11% of the population; 12% of women and 10% of men.

What is Sudoku rule of 1?

Rule 1 - Each row must contain the numbers from 1 to 9, without repetitions. The player must focus on filling each row of the grid while ensuring there are no duplicated numbers. The placement order of the digits is irrelevant. Every puzzle, regardless of the difficulty level, begins with allocated numbers on the grid.

Is 6 minutes good for Sudoku?

5 minutes is more than enough time to jump start your brain, re-evaluate your Sudoku strategy, and develop a new perspective on how to view the Sudoku grid. So “take 5” and give yourself a new chance at solving Sudoku puzzles!

Can we use 0 in Sudoku?

Sudoku Rule № 1: Use Numbers 1-9

Each row, column and square (9 spaces each) needs to be filled out with the numbers 1-9, without repeating any numbers within the row, column or square.

What is Sudoku unique rectangle type 2?

UNIQUE RECTANGLE (TYPE 2) : If two corners of the rectangle in the same Row or Column are "Bi-Value" Cells with the same candidates and if the other two corners of the rectangle are "Three-Value" Cells with the same candidates plus one common candidate, then that common candidate must be the solution in one of the " ...

Can a Sudoku have 2 solutions?

A well-formed Sudoku puzzle is one that has a unique solution. A Sudoku puzzle can have more than one solution, but in this case the kind of logical reasoning we described while discussing solving strategies may fall short. There are examples of rank-3 Sudoku puzzles with 17 givens that are well-formed.

Does each Sudoku have a unique solution?

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. This section discusses the minimum number of givens for proper puzzles.

What are 2 unique properties of a rectangle?

Every angle of a rectangle measures 90°. Opposite sides are equal and parallel. It has 2 diagonals of equal length.

What is a special rectangle called?

A square is called a special kind of rectangle because it possesses some additional properties which do not apply to rectangles. They are: All four sides of a square are equal. Diagonals of a square bisect each at right angles.

What is the most perfect rectangle?

The Golden Rectangle , also called the perfect rectangle by some, is a rectangle in which the ratio of its length to its width is the Golden Ratio . Many believe that this is one of the most visually pleasing of all geometric shapes. It appears in many works of art and architecture.

What are the different types of rectangles?

A rectangle has four sides with the opposite sides equal to each other and with the adjacent sides meeting at 90°. These properties are seen in the two types of rectangles - the Square and the Golden Rectangle. A square is a type of rectangle with four equal sides and four equal angles.

What are the four types of rectangle?

Are there different types of rectangles?

A rectangle is a four-sided shape with four right angles (90-degree angles). There are two types of special rectangles including the square and the Fibonacci rectangle.