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You won't believe this. I worked all night to make a new 3D tetromino puzzle, and just as I was about to save the final version there was a power outage! Now I can't remember what the final clues were supposed to be, and I'm far too busy to try and figure it out myself. Can someone please help me?

image description below

The image above represents a $5 \times 5 \times 5$ cube. Insert any number of the pictured 3D-tetromino pieces into the cube at any orientation. The following conditions must be satisfied:

  • Pieces cannot be adjacent to each other, but may touch at a corner or along edges.
  • All uncoloured cells must be orthogonally connected.
  • Cells with numbers must be uncoloured. The numbers give the total lengths of all runs of coloured cells, of the same colour, starting immediately adjacent to the number and extending outwards from it.
  • A numbered cell cannot be orthogonally adjacent to a cell of a different colour.

Question marks represent clues which have an unknown colour and number.

Colourblind friendly version

Puzzle inspired by, and template taken from 3D Tetromino puzzle by jafe.

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    $\begingroup$ You're right: I don't believe it. $\endgroup$
    – Gareth McCaughan ♦
    Commented Jul 12, 2019 at 10:32

1 Answer 1

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This has been hard work... may I not explain my approach?

enter image description here
Note:
Brown cells in top layer: one would be colourless, and the other would be orange.
Three shades of green: lightest shade of green must be green. For the other two shades, either one is green and the other one colourless.

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    $\begingroup$ You are correct, though I should have realised my intended solution was not unique i.imgur.com/oCcvCCy.png $\endgroup$
    – Jay
    Commented Jul 13, 2019 at 19:52

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