Logic Masters Deutschland e.V.

"The flaw in symmetry, the key to clarity." ———— DeepSeek

Rules:

1. Normal sudoku rules apply. Fill the grid with digits 1-9 so that no digit repeats in any row, column, or 3x3 box.

2. Ambiguous kropki: A dot separates two digits that either:

(1) differ by 2;

(2) differ by 3;

(3) have a 1:2 ratio;

(4) have a 1:3 ratio.

Each of the four rules corresponds to a color: red, yellow, green, or blue. For dots satisfying multiple rules, only one color is given. A gray dot may satisfy any of the rules.

I also made a letter version where non-gray circles are replaced with A, B, C and D, and gray circles by question marks.

Sudokupad links:

Color version

Color version (no solution check)

Letter version

Letter version (no solution check)

Please comment below about the puzzle! Your feedback is very important for me. Hope you enjoy!

===================

Hints are provided. Read them in the given order to avoid spoilers!

Hint 0: The Phistomefel ring is recommended. All gray circles should be left until the final stage. (Select to read.)

Hint 1: Find all (regardless of rotation or mirror symmetry) five possible 2x2 squares of non-repeating digits connected by four dots of one color each. Classify them into 2 types: ones that may fit in box 7, v.s. ones that may fit in box 1, 3 and 9. Then identify exactly the one that fits in box 7! (Select to read.)

Hint 2: As you dealt with box 7 and box 3, there is still a mirror symmetry between box 1 and box 9. Now consider the red / blue dots in box 5. One cannot be the 1:3 ratio dot, which resolves the symmetry. (Select to read.)