Hexaoctoquadri
(Published on 20. March 2025, 16:05 by mathpesto)
This puzzle was created for zetamath's octoquadri setting challenge.
Solve online:
Rules:
A grid contains eight of the digits 1–9, which appear exactly twice each. Digits may not repeat within a grid’s row, column, or 2x2 box. The omitted digit from each grid must differ (which the solver may keep track of at the top).
- Whisper (green): Adjacent digits on a whisper differ by 5 or more.
- Renban (purple): A renban contains a set of consecutive digits (not necessarily in order).
- Parity (red): Adjacent digits on a parity line alternate between odd/even parity.
- Region Sum (blue): Digits on a region sum line have the same sum in each 2x2 box the line is in.
- Entropy (orange): Every set of three sequential digits on an entropic line contains one digit from {1,2,3}, one from {4,5,6}, and one from {7,8,9}.
- Ten Line (light gray): A ten line consists of one or more contiguous groups of cells, each of which sums to 10. Groups cannot overlap.
(Note: The parts of lines in between grids are ignored. For example, R4C2 of Grid 3 and R1C2 of Grid 6 are considered adjacent and therefore will have opposite parity.)
Solution code: In reading order, the digit in R1C4 of each grid. (i.e. R1C4 in the top left grid, R1C4 in the top middle grid, etc.) (six digits)
Comments
on 4. May 2025, 06:17 by konklone
The ten squares kicked me around quite a bit, but otherwise I'm very proud of how I made my way through this little maze. :) Thank you for making this!
on 21. March 2025, 02:14 by Calvinball
This turned out to be exactly the puzzle I wanted it to be when I first opened it. Perfect difficulty, surprising/satisfying logic, and it just felt like a mathpesto puzzle the entire way through. And it's about darn time Saturnalia had a younger sibling.
on 20. March 2025, 19:49 by MaizeGator
The "vignettes" style was such a great idea for this challenge. As soon as I saw it, I was upset that I didn't think of it first, but on the other hand, I wouldn't have done it justice like Math Pesto did. I really enjoyed the communication between the grids and the satisfying eliminations you make throughout the solve.
