Mysterious Mirrors

by Marty Sears by Marty Sears

CASE 3790

Mysterious Mirrors

Not graded: we can’t read all its rules yet
  • Fog of war
  • Kropki dots
  • Arrows
  • Same-class lines

The brief

Normal sudoku rules apply.

FOG: Entering correct digits may clear fog somewhere in the grid. No guessing is necessary.

BLACK DOTS: If two digits are joined by a black dot, then one is double the other.

ARROWS: Digits along an arrow sum to the digit in the attached circle.

MIRRORS: One of the marked diagonals is an 'entropy mirror' and the other is a 'modular mirror'. It is to be determined which is which.

ENTROPY MIRROR: Any pair of cells which are reflected symmetrically across the entropy mirror both contain digits from the same entropic group, ie; they are both low (1, 2 or 3), or both medium (4, 5 or 6), or both high (7, 8 or 9).

MODULAR MIRROR: Any pair of cells which are reflected symmetrically across the modular mirror both contain digits from the same modulo 3 group; (1, 4, 7), (2, 5, 8) or (3, 6, 9) ie; they both have the same remainder when divided by 3.