Unlucky dice 2

This puzzle is more difficult than “Unlucky dice 1”. I made this puzzle by using standard dice. For making this puzzle you will need 27 dice in three different color. I glued them with a kind of superglue. Each piece has “L” shape and made by gluing 3 dice together. For this puzzle there is 3 different problem.

1. Make a cube. An easy problem
2. For this problem you will ignore numbers and you will try to make a cube so on six face two same color will not be placed on same row or column. Same color may be placed on same diagonal. Inside (non visible ) faces will be ignored.
3. This is most difficult problem for this puzzle. You will try to make a cube so on six face two same color will not be placed on same row or column and in same time same numbers will not be placed on same row, column or diagonal.

Puzzle pieces are here,

But you don’t need make same puzzle with me. First make a cube with 27 dice according to rule 3. After you must find a solution diagram for this cube and take pieces 3 by 3 according to solution and glue dice together without changing their positions. This method may be easier for making this puzzle. An easy to make and very difficult puzzle to solve. An example solution diagram is here.