Kropki Sudoku (A Guide To The Most Popular Sudoku Game)

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Introduction To Kropki Sudoku

The idea behind Kropki Sudoku is to have a game available that will appeal to people of all ages and levels of math knowledge. The design for each grid must be simple enough for a child but still provide a challenge for the most advanced Sudoku player.

This is a very popular Sudoku in which each cell contains the numbers 1 to 9. The digits are drawn as tiny dots, but you can change them if you want.

You must draw exactly one line (in any direction) between two given cells that contain different numbers that don’t share a digit.

For example

If two cells have 2 and 4, respectively, there must be a line between them. There are finitely many lines you can draw between given cells.

kropki sudoku

Sudoku is one of the most famous riddle games graphically. It’s been around since 1981 and has been played by millions of people across the globe.

But it’s time for a review. This article will explore what Kropki sudoku is? Where it came from, and why it’s still so popular today.

Kropki Spiral by Philip Newman

Why it’s still so popular today?

As Kropki Sudoku is a game played on a square lattice of numbers to place the numbers from 1 to 9 in each row, column, and 3×3 box.

Kropki Sudoku is a solution most people attempt to solve Kropki puzzles by using brute force, or by looking at all the possible combinations.

Kropki Puzzle on the App Store

However, there are numerous other ways to complete Kropki Sudoku at this time; that’s why most people like this game and enjoy it.

Kropki Puzzle on Google Play Store

Kropki Sudoku Variation

It is a sudoku variation where highly contrasting spots are added between cells in the sudoku network.

These dabs address an extra requirement past the ordinary principles of Sudoku.

It may also be called Countdown 2×2. The following variants have been created.

Digit in Kropki Sudoku

It is one of the easiest Sudoku types to solve.

The solution is as easy as: fill in each digit from 1-9 exactly once, and where two adjacent cells have a digit value which is both divisible by 2, they will be separated at the center by a white dot or this puzzle has an odd number of black dots in any row, column or 3×3 box.

In Kropki, Sudoku can be solved within 12 steps!

Digit in Kropki Sudoku

Kropki Sudoku puzzles:

Kropki Sudoku puzzles have a unique format.

They also differ from sudoku puzzles in every other way possible.

The rules are quite similar to regular Sudoku puzzles. Still, Kropki Sudoku puzzles consist of one more constraint compared to regular Sudoku, and the same is true with number patterns in these Kropki Sudoku Puzzles: 

1) Both black and white dots between two cells must be consecutive such as 2 & 3 or 7 & 8.

White Dot in Kropki Sudoku

Kropki Sudoku is a white dot puzzle with a Kropki dot in the cell.

A white dot indicates two cells between which at least one digit of these values must be different, i.e., every number above 1 has to be different between neighboring grid blocks.

Not all puzzles will have white dots, and some may contain black dots instead (see Rule 3 below).

Think carefully before filling in the whole board, as you don’t want your intended solutions.

White Dot in Kropki Sudoku

The Black Dot’s Solution

The black dot we used in this game is a “constraint” and can be used for any kind of puzzle.

Some black dots have a very specific meaning, as mentioned above, but all black dot games use the same rules to classify them:

1) Two cells NOT connected by an orthogonally adjacent cell

2) Two digits separated by 1 or 2 squares (which means both within one range on each horizontal or vertical axis only); 3-9

Availability of Grid In Kropki Sudoku

  1. Kropki is a popular Sudoku variant where black and white dots are added between cells in the grid. These extra rules make life more difficult as you have to check every cell!
  2. Kropki Sudoku puzzles – play Sudoku with Kropki: Kropki Sudoku is a Sudoku variant where black and white dots are added between cells in the grid that represent an additional constraint beyond regular rules of the consecutive number.

The White Circle in Kropki Sudoku puzzles

The white circle and black circle are placed on the sudoku grid so that all pairs of areas that either contains one white or a single black circle are marked as true, although some puzzles may have double-marked squares in other instances.

Any valid pair will be marked with both colors. This is known as Kropki Sudoku because all white circles count for 1 point, and any red (red/black) square only counts once (with no points).

Black circles do not score at adjacent squares. The squares adjacent to a given white or black circle are of the other color, and those are adjacent on both sides.

The Black Circle in Kropki Sudoku

Kropki Sudoku is a black circle and white circle conundrum. (1st, 2nd)

The puzzle on the left has black or white circles in neighboring squares, which means at least one is false.

To find out if it’s true, keep going to an adjacent square: either by moving horizontally over two columns of black (or whites), or vertically up/down through adjoining rows of same color markers; there are no diagonal row-col projections because they don’t make a reasonable, logical deduction.

Your deduction has been a reasonable, logical deduction.

Kropki Sudoku Design

Kropki Sudoku puzzles is a puzzle designed to classify regular Sudoku.

The game aims to make all pairs of squares that contain values that are both diagonally adjacent, or one value is exactly twice the other (black circle) or has the same number and opposite signs (white circle).

Black circles must mark all cells with consecutive numbers to make them hard for solvers.

Kropki Sudoku Design

Cells Adjustment Kropki Sudoku

We have an adjacent cell constraint on 3,6,8, and all it says is that the cells between which a black dot appears must be orthogonally adjacent (1×2 or 2×3).

The cell with four next to 6 would require 1 & 7. But we can’t solve Kropki Sudoku by traversing across cells.

So we write down our constraints as “row/column/box-size.”

We focus on only this single dimension.

Absolute Difference In Kropki Sudoku

The difference between the absolute difference and the absolute values is the same in the Sudoku point on the line.

The absolute value can also be referred to by its symbol formula_17 or, less commonly, formula_18 Briefly:

Where “f”(“x”) denotes the function given by f(“y”)= “absolute difference (between x and y). Consider further cases. If one digit in a number of digits is this combination, we have an abs difference. If you know about the Absolute Difference Rule, you can easily fish this game in a timely manner


Cross+A is a variation of Dot Sudoku that belongs to the original Sudoku.

It is expected to help settle crosswords, word-based riddles, rationale puzzles (Sudoku, Nonogram, Kakuro, Hitori, and so forth).

The program’s information base contains a ton of English words with depictions.

The client can look through words by referring to letters, examples, and depictions and observe various sorts of re-arranged words, add new words and alter the program’s information base.

The non-program manager permits the making of highly contrasting and colorful riddles.

Cross+A dot sudoku variation

All extra data about Cross+A and its most form can be found on our site and its mirror. If you have any inquiries, ideas, or remarks about our program, direct them to our email if it’s not too much trouble.

Kropki Sudoku – Rules & Strategies


Kropki Sudoku is a fun and challenging game that people of all ages can enjoy.

It also provides various benefits to players, including improved concentration, logical thinking, and skills used for problem-Solving.

If you are looking for a fun way to pass the time or exercise your brain while creating beautiful art, Sudoku may be just what you need.

Sudoku is a tomfoolery and testing interest, yet it very well may be too simple to even think about stalling out on one riddle for a long time.

It’s a great way to keep your brain active and entertained!

There is a great paradox in Sudoku.

It’s easy to learn yet hard to master. And it’s loved by children and adults alike!

The rules are simple: put the numbers 1 to 9 into every blank cell, with no digit duplicated in any row or column.

Also, take a look at the following Sudoku Variants

A Magical Miracle Sudoku

Sudoku Latin Square

How to Play Sudoku Chute

Jigsaw Sudoku

Chess Sudoku

Diagonal Sudoku

Sandwich Sudoku

Arrow Sudoku Puzzle