Logic Masters Deutschland e.V.

Cube Chaos

(Published on 25. June 2026, 19:03 by mellowrobinson)

This was made for a speed setting competition over on the CTC Fan Discord, which called for a 3D puzzle. A big thank you to IkeManga, Fryguy, yttrio, and NicoD for hosting and judging all the wonderful puzzles! Also thanks to Chinstrap for advice to refine the presentation.

I thought the 3D region building was fun, so I was happy to later find another great puzzle on the portal with the same cube rules. Do give it a try!

4x4x4 Chaos:

  • The grid is a 4x4x4 cube. The layers are stacked as shown by the dashed lines (without rotation). Fill every cell with a digit from 1-8 so digits don't repeat in the x, y, or z axis.
  • Divide the grid into eight orthogonally connected regions, each containing the digits 1-8 without repeats.

Internal X-Sums:
  • The digit in a circle counts the number of cells of its own region that it 'sees' in all three directions, including itself, where other regions and the edge of the cube blocks vision.
  • A number clue indicates the sum of such seen cells, if given.
  • Note: Conflict checker works and can help with scanning between layers.


Click here to solve

Solution code: From the "front" layer only (bottom right 4x4 grid), the digits in the region occupying the most cells. western reading order.

Last changed on on 25. June 2026, 20:00

Solved by yttrio, The Book Wyrm, dogfarts, RedBulls75, marcmees, Sinuit, sorryimLate, Dr Logic, NEWS, misha, ArkansasJones, pmays123, QuiltyAsCharged, Cream147, amelenty, Asphodel, irq, ender132, haoju, misko, Isael, 379475229, IntegralHamster, MaizeGator, mathhead, hurrdurr, sehringdipity, Bathroomking, pmatos, Frutlop, LabRat, BeeBoi, widjo, ly_ra17, feverlute, jkuo7, tecu, lsw770770
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Comments

on 30. June 2026, 03:46 by MaizeGator
Fantastically mind-bendy

on 27. June 2026, 11:20 by Cream147
What a delightful puzzle. I did go wrong a couple of times as I missed possible 3D extensions of the regions but managed to untangle and get there eventually!

on 27. June 2026, 09:35 by QuiltyAsCharged
Great fun! Though my brain truly struggled to trace the 3D regions

on 27. June 2026, 08:00 by pmays123
Such a fun and unique idea executed beautifully. Thank you for sharing! I had a great time solving :)

on 26. June 2026, 11:26 by Sinuit
Wow. Very very nice!
I think 3 star difficulty is appropriate. The deductions are not too hard but the 3d scanning of the grid just takes its time.
Thanks a lot!

on 25. June 2026, 20:00 by mellowrobinson
Typo

on 25. June 2026, 19:53 by yttrio
This was very deserving of the gold medal it got in the SSC! A really nice extension of a relatively simple constraint into the 3rd dimension.

Difficulty:4
Rating:98 %
Solved:38 times
Observed:2 times
ID:000TG7

Three-dimensional

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Solution code:

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