Algorithmic
(Published on 27. July 2025, 23:31 by Pychael)
Rules:
CUBE RULES:- The grid folds into a 3x3x3 cube
- Fill the cube faces with the digits 1-6
- Each individual row and column of each 3x3 cube face must not share digits
- Each digit can be assigned a face color of a Rubik's cube, and the resulting grid will form a solvable 3x3 Rubik's cube
- Palindrome Lines: grey lines read the same forwards and backwards (e.g. 12421 or 6336)
- Lines do not cross or branch anywhere in the puzzle, and no two lines occupy the same cell
- White Kropki Dots: cells separated by a white dot are consecutive
- Black Kropki Dots: cells separated by a black dot are in a 1:2 ratio
- Dynamic fog: the grid is partially covered in an obscuring fog. Placing correct digits will reveal the cell entirely, and may also reveal other portions of the grid
Having trouble? Click here for a guided walkthrough!
click on the grid to play!
If you don't want to deal with parity (proving the cube is solvable): The sum of all digits in the rightmost face of the grid is odd
Solution code: Row 6 of the overall grid (The bottommost row that contains 9 digits) left to right
Comments
on 30. July 2025, 07:44 by ThibautV
Having a cube at hand is a big help, or at the very least coloring a pattern. :)
Actually having to solve the cube (or evaluating parity in an other way) was beyond what I expected the puzzle to go, so I was glad for the late hint. That also makes the puzzle solvable for someone who would only have a "mechanical" understanding of the rubik's cube.
Very fun concept and enjoyable solve!
on 29. July 2025, 12:27 by grrz
Spent 5 hours on it. It was very nice, worth trying. I stuck on the last 34 pair, peered into the walkthrough and realized that I would never solve it by myself. Overall, very good idea
on 28. July 2025, 05:53 by Pychael
Added link to walkthrough
on 28. July 2025, 05:46 by Arkthelox
This was a proper challenge to test, send a prayer for everyone who attempted the original cube in hand proving why the cube was solvable :p. Nevertheless this is an amazing puzzle which had me thinking every step of the way. Best to solve this cube in hand, trust me. (Tip: this is very much a colouring puzzle ;) )
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Thank you again very much for your testing and feedback! Very happy you enjoyed!
on 27. July 2025, 23:38 by Pychael
Added optional info below the grid if solver does not wish to utilize parity (proving the cube is solvable)
