Sudoku Kropki
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Fácil · Sudoku Kropki
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Cómo jugar al Sudoku Kropki
Se aplican las reglas estándar del Sudoku. Punto negro entre dos celdas adyacentes: un dígito es exactamente el doble del otro. Punto blanco: los dos dígitos son consecutivos (difieren en 1). Sin punto: no se aplica ninguna condición.
Guía completa →
Puntos blancos = dígitos consecutivos; puntos negros = un dígito es el doble del otro
Sudoku Kropki Fácil
Sudoku Kropki Medio
Sudoku Kropki Difícil
Sudoku Kropki Experto
Qué es Sudoku Kropki?
Kropki Sudoku coloca puntos entre pares de celdas adyacentes. Un punto blanco significa que los dos dígitos difieren exactamente en 1 (consecutivos). Un punto negro significa que un dígito es exactamente el doble del otro (por ejemplo, 2 y 4, o 3 y 6). Donde no aparece un punto, no se aplica ninguna condición. Algunos rompecabezas Kropki usan la 'restricción negativa' donde la ausencia de un punto garantiza que no se cumple ninguna condición, dando aún más información.
De un Vistazo
| Tipo de restricción | Relaciones de Celdas |
| Valores dados típicos | 18–24 |
| Valoración de dificultad | ★★★☆☆ 3/5 |
| Tiempo de resolución prom. — Fácil | 8 min |
| Tiempo de resolución prom. — Medio | 18 min |
| Tiempo de resolución prom. — Difícil | 35 min |
| Tiempo de resolución prom. — Experto | 62 min |
Cómo resolver Sudoku Kropki
| Técnica | Qué hace | Nivel |
|---|---|---|
| White Dot Pairs | White dots mark consecutive digit pairs: (1,2), (2,3), …, (8,9). Cross-reference with row and column constraints. | Avanzado |
| Black Dot Pairs | Black dots mark double-relationship pairs: (1,2), (2,4), (3,6), (4,8). Only these four combinations are valid. | Avanzado |
| Negative Constraint | No dot between two cells means they are neither consecutive nor in a 1:2 ratio — a powerful elimination on every unmarked adjacent pair. | Avanzado |
| Dot Chain Analysis | A sequence of connected dots forms a digit-value chain. Enumerate valid digit sequences for the entire chain simultaneously. | Avanzado |
| 1-2-4 and 2-4-8 Chains | A black dot adjacent to a white dot often forces the common 1→2→4 or 2→4→8 chain. | Avanzado |
Tiempos de Resolución Promedio
Fácil
8 minutos
Medio
18 minutos
Difícil
35 minutos
Experto
62 minutos
Preguntas frecuentes
¿Qué es Kropki Sudoku?
Kropki Sudoku is a variant where dots appear between adjacent cells. A black dot means one of the two cells holds exactly double the value of the other. A white dot means the two cells hold consecutive digits (differing by 1). Standard Sudoku rules apply, and crucially: if there is no dot between two adjacent cells, they are guaranteed NOT to be consecutive and NOT to have a double relationship.
What does a black dot mean?
A black dot between two cells means one digit is exactly twice the other. For example: 1&2, 2&4, 3&6, 4&8. Note that 1&2 satisfies both black (1×2=2) and white (|2-1|=1) conditions — in Kropki Sudoku, a black dot is used when only the doubling relationship holds, not the consecutive one, unless specified otherwise.
What does a white dot mean?
A white dot between two cells means the digits differ by exactly 1: they are consecutive. Valid pairs are 1&2, 2&3, 3&4, 4&5, 5&6, 6&7, 7&8, 8&9. The order doesn't matter — either cell can hold the higher or lower digit.
How does the no-dot constraint work?
In standard Kropki Sudoku, every possible black dot and white dot relationship is marked. This means that if no dot appears between two adjacent cells, you can be certain those cells are neither consecutive nor in a 1:2 ratio. This negative information is just as powerful as the positive dot clues.
Is Kropki Sudoku harder than regular Sudoku?
Easy Kropki puzzles are accessible and make excellent teaching tools for the variant. Hard and expert puzzles are significantly more challenging than classic Sudoku because you must simultaneously track dot relationships and the negative no-dot constraint across every pair of adjacent cells.
How long does Kropki Sudoku take to solve?
Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard puzzles average 35–65 minutes and expert puzzles often exceed 90 minutes. Mastering the no-dot constraint is the key to faster solve times at all levels.