Balanced QuattroQuadri #02: Piece of the Pi
(Published on 31. January 2026, 16:39 by Nell Gwyn)
- Balanced QuattroQuadri: Place the numbers -4 to 4 once each in every 3x3 box such that numbers do not repeat in a row or column.
- Region Pi Arrows: Each gold arrow is divided by box borders into segments. Segments are read, in the order the arrow points, as numbers in the balanced nonary numeral system (see below).
- Any two adjacent segments must have a ratio strictly between 3 and 4 (non-inclusive, meaning the ratio cannot be exactly 3 or exactly 4).
- Balanced Nonary: Balanced nonary is like decimal, except instead of the digits 0 to 9, it uses the digits -4 to 4, and instead of multiplying each higher digit by increasing powers of ten (making a ones digit, a tens digit, a hundreds digit, a thousands digit and so on), you multiply each higher digit by powers of nine (so you have a ones digit, a nines digit, an 81's digit, a 729's digit, and so on).
- For example, "-2 +4 0" in balanced nonary would equal (-2 * 81 = -162) + (4 * 9 = +36) + (0 * 1 = 0), or -126.
- If a zero is in the highest position of a balanced nonary number, it is ignored (like a leading zero in decimal).
- Palindrome: Numbers along a gray line must read the same in either direction (including whether they are positive or negative (or zero)).
- An inequality sign (">") points to the lower number.
Solution code: Rows 2 and 5, with a "-" in front of the negative numbers.
Last changed on on 31. January 2026, 16:54
Solved by ThePedallingPianist, Fool on Hill, Golden_Feather, Lyouke, Da Letter El, War
Comments
on 5. February 2026, 16:17 by War
Pretty wild, tricky math but good puzzle flow
Last changed on 2. February 2026, 07:30
on 2. February 2026, 07:29 by ThePedallingPianist
This was one of the wildest rulesets I've had to internalise, but once you do it's a really smooth flowing and very satisfying puzzle! Loved it!
on 31. January 2026, 16:54 by Nell Gwyn
Fixed a typo in the solution code, sorry about that.
