Zippery When Wet

by Marty Sears by Marty Sears

CASE 3932

Zippery When Wet

Not graded: we can’t read all its rules yet
  • Region sum lines
  • Whisper lines
  • Parity lines
  • Entropic lines
  • Renban lines
  • Nabner lines
  • Palindromes

The brief

  • Normal sudoku rules apply.

YIN-YANG:

  • Each cell is either land or water.
  • All cells of the same type must be orthogonally connected.
  • No 2x2 area may be entirely land or entirely water.

LINE TYPES:

  • Renban (pink) - Digits on a pink line don't repeat, and form a consecutive sequence, but these can be arranged in any order along the line.
  • Nabner (yellow) - A digit on a yellow line cannot be consecutive with (or the same as) any other digit anywhere on the line.
  • German Whisper (green) - Adjacent digits on a green line must have a difference of at least 5.
  • Region Sum (blue) - Digits along a blue line must have the same total within each 3x3 box.
  • Parity (red) - Digits along a red line must alternate between odd and even.
  • Entropic (orange) - Any group of 3 adjacent digits on an orange line must contain a low digit (1, 2 or 3), a medium digit (4, 5 or 6), and a high digit (7, 8 or 9).
  • Palindrome (grey) - A grey line must read the same in either direction.
  • Same Difference (turquoise) - Each pair of adjacent digits along a turquoise line must have the same difference.

ZIPPERY WHEN WET:

  • Any line that is completely wet (only enters water cells) loses the property of its presenting colour, and instead becomes a zipper line. Along a zipper line, each pair of digits that are the same distance from the line's central cell, sum to the digit in that centre cell.
  • Any line that is completely dry (only enters land cells) behaves normally, as described in the list above. It does not behave like a zipper line.
  • If a line is partly dry and partly wet, it retains its presenting property, but it is ALSO a zipper line as well.