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This is a three-dimensional Statue Park puzzle.1 The five squares in the below image depict the five levels of a $4\times4\times5$ cuboid. The goal is to fit inside it the four three-dimensional pieces shown in the picture, so that the resulting space satisfies the following conditions:

  • The pieces can be rotated or reflected along any axis.
  • No piece can be orthogonally adjacent to another piece.
  • The cells not occupied by pieces must all be orthogonally connected.
  • Cells marked with a black circle must be part of a piece, and cells marked with a white circle cannot be part of a piece.

enter image description here


1 The Statue Park puzzle type was invented by Palmer Mebane. The original rules can be found on his blog.

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  • $\begingroup$ How do the sides fit together? $\endgroup$ – PotatoLatte Jul 26 at 20:24
  • $\begingroup$ Do you mean a 4x4x5 cuboid? $\endgroup$ – Deusovi Jul 26 at 20:28
  • $\begingroup$ Yeah, just realized it's not a cube at all. Just a second, fixing the description... $\endgroup$ – jafe Jul 26 at 20:29
  • $\begingroup$ Should be fixed now? That's what I get for reusing old templates instead of starting from scratch. $\endgroup$ – jafe Jul 26 at 20:31
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Step 1:

The two black dots on the top layer tell us that two Us must be placed vertically, going downwards into the the puzzle.
enter image description here

Step 2:

The two remaining black dots cannot be part of the same shape. The dot on layer 4 cannot be part of a U that is entirely on layer 4. There cannot be a dot above it. Using the left given white dot on layer 2, the only way for a U to be placed is to be parallel to the two other Us, with the given dot at the very bottom.

enter image description here

Step 3:

This resolves the orientation of the left U-shape on layer 1 (as well as the right U-shape, which could have been resolved earlier using the right white dot on layer 2). The final U-shape then must be placed entirely on layer 5, and there is only one way to place it (since it cannot occupy any of column 2 except for the bottom cell).
enter image description here

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  • $\begingroup$ Yup, this is correct. $\endgroup$ – jafe Jul 26 at 21:09
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Deusovi beat me but here's the solution in Minecraft:

Top to Bottom:

enter image description here enter image description here enter image description here enter image description here enter image description here

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  • 7
    $\begingroup$ That's a very creative way of answering the question +1 $\endgroup$ – LeppyR64 Jul 26 at 21:32

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