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Here is a 5 x 5 x 5 cube filled with numbers.
It's a 3D adaption of standard slitherlink puzzles.
You must create a solid 3D object such that the number in each sub-cube matches the number of adjacent faces.
You can assume that the surface will never touch itself except at connections.

enter image description here I'm 90% sure that this has a unique solution.

It might very well be possible to remove some numbers and still have a valid solution, but since this is a new puzzle type (as far as I know) I'll give all the information.

Please let me know what you think and most importantly, have fun!

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    $\begingroup$ Just to be clear, the layers are meant to be stacked left to right (so the lower-left layer is adjacent to the top right layer), correct? $\endgroup$
    – Woofmao
    Commented Jan 26, 2020 at 20:50
  • $\begingroup$ That is correct, I'll add layer numbers shortly :) $\endgroup$
    – Matthew Jensen
    Commented Jan 26, 2020 at 20:51
  • $\begingroup$ My apologies, I just discovered some errors in layer 1. They are now fixed. I hope this doesn't set anyone back too far! $\endgroup$
    – Matthew Jensen
    Commented Jan 26, 2020 at 21:42
  • $\begingroup$ Layer 2 needed fixing too, it should all be correct now $\endgroup$
    – Matthew Jensen
    Commented Jan 26, 2020 at 21:50
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    $\begingroup$ As a side note, the 3d slitherlink has been done before in MIT Mystery Hunt, 2016 (web.mit.edu/~puzzle/www/2016/puzzle/cubism) $\endgroup$
    – phenomist
    Commented Jan 27, 2020 at 3:03

1 Answer 1

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I started from the top layer, and the rest soon fell into place. GRATS

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  • $\begingroup$ Congratulations! When I tested it I began from the bottom. $\endgroup$
    – Matthew Jensen
    Commented Jan 27, 2020 at 2:41
  • $\begingroup$ Quite a fun puzzle. I enjoy Slitherlink, and this was a tough one. Having all the clues present made filling the remaining layers much easier than the first layer, but the first layer was really difficult. $\endgroup$
    – Woofmao
    Commented Jan 27, 2020 at 2:47

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