Fill in the cube so that every outlined region and every layer (as shown by the double arrows) contains the digits 1 through 8.

Puzzle:

Fill in the grid so that every with an arrow marked line and every bold marked region contains the digits 1 through 8.

The coloured lines in this grid should help to understand the rules:

Fill the grid with natural numbers. In each cell the number is the sum of the gaps of this cell with its orthogonal adjazent neighbors.

Exampl:

Puzzle:

Fill in the grid so that every row, every column, and every 3x3 box contains the letters A, C, E, F, H, L, M, S, and Z. If your sudoku is solved you can find 7 animal names in german language: HUMMEL (engl.: bumblebee), MAUS (engl.: mouse), FUCHS (engl.: fox), LUCHS (engl.: lynx), ELCH (engl.: elk, moose), SAU (engl.: sow) and LAUS (engl.: cootie) in vertical, horicontal or diagonal direction by word search.

Locate the position of the 16 T-forms in the grid. The T-forms fill all cells and don't overlap. The forms can be rotated but not reflected. Every row, every column, every marked 4x2 box and both main diagonals contain the digits 1 through 8. The place of 3 T-forms is given.

Fill in the grid so that every row, every column, and every marked region contains the digits 1 through 9. All the numbers in 3x3 boxes of the same color are exactly the same in position.

Change some digits in the grid so that every row, every column, and every 3x3 box contains the digits 1 through 9 and so that no pair of changed digits is horizontal or vertical adjazent (diagonally adjazent changed cells are allowed).

Change some digits in the grid so that every row, every column, and every 3x3 box contains the digits 1 through 9 and so that no pair of changed digits is horizontal or vertical adjazent (diagonally adjazent changed cells are allowed).

Turn 5 times a 3x3-box 90 degree to the left or right so that after that each row, column and 3x3-box has exactly one of each digit.