4. Achtelwenden Kropki 5x5
(Published on 6. October 2012, 09:30 by adam001)
Draw a single closed loop through the cells.
The loop is built up out of horizontal, vertical and diagonal lines.
The numbers in the cells indicate the number of rotation eighths in the cell, that is the angle between the lines to its two neighbouring ones as multiplicity of 45°. A cell with an acute angle becomes the value 1; a cell with a right angle the value 2; a cell with an obtuse angle the value 3 and a cell that is passed straight (180°) the value 4.
The loop might cross itself, but lines only connect their ends.
If there is a black circle between two cells, one of the values in these two cells must be twice the value of the number in the other cell. If there is a white circle between two cells, one of the values in these two cells must be one more than that of the other cell. If there is no circle between two digits, none of these two properties may hold. The circle between 1 and 2 may be either black or white.
Example and solution:
Puzzle:
The numbers in the cells indicate the number of rotation eighths in the cell, that is the angle between the lines to its two neighbouring ones as multiplicity of 45°. A cell with an acute angle becomes the value 1; a cell with a right angle the value 2; a cell with an obtuse angle the value 3 and a cell that is passed straight (180°) the value 4.
The loop might cross itself, but lines only connect their ends.
If there is a black circle between two cells, one of the values in these two cells must be twice the value of the number in the other cell. If there is a white circle between two cells, one of the values in these two cells must be one more than that of the other cell. If there is no circle between two digits, none of these two properties may hold. The circle between 1 and 2 may be either black or white.
Example and solution:
Puzzle:
Solution code: In reading order the coordinates of the crossings inside the cell grid (see example solution code in 1. Achtelwenden).
Last changed on -
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Comments
on 24. May 2023, 18:42 by Drawoon
penpa+: https://tinyurl.com/2q9zywtv
