Power of Three
(Published on 19. September 2026, 18:39 by Invintic)
RULES:
Zero-sum sudoku rules apply: Fill the grid with the digits 0-9 such that each of the digits 1-9 appear at most once in any row, column or box. The digit 0 may appear any number of times in the grid as permitted by other rules. The digits in every row, in every column, and every box must sum to the same number, which must equal the number of zeroes in the grid.
Digits along thermometers increase from bulb to tip, and every three consecutive cells on one form a set of residuals modulo-3 (one digit from the set {1,4,7}, one from {2,5,8}, and one from {0,3,6,9}). A thermometer bulb with two different endpoints is considered to be the same thermometer for the purposes of modularity. If two digits are separated by black dots, one is twice the other.
This is the third entry in a series of (hopefully ten) puzzles using the zero-sum ruleset. What's currently finished can be found below.
1. Zero Sum
2. No Vacancy
Zero-sum sudoku rules apply: Fill the grid with the digits 0-9 such that each of the digits 1-9 appear at most once in any row, column or box. The digit 0 may appear any number of times in the grid as permitted by other rules. The digits in every row, in every column, and every box must sum to the same number, which must equal the number of zeroes in the grid.
Digits along thermometers increase from bulb to tip, and every three consecutive cells on one form a set of residuals modulo-3 (one digit from the set {1,4,7}, one from {2,5,8}, and one from {0,3,6,9}). A thermometer bulb with two different endpoints is considered to be the same thermometer for the purposes of modularity. If two digits are separated by black dots, one is twice the other.
Click on the image below to play.
This is the third entry in a series of (hopefully ten) puzzles using the zero-sum ruleset. What's currently finished can be found below.
1. Zero Sum
2. No Vacancy
Solution code: Row 6, left to right, then Column 9, top to bottom.
Last changed on on 20. September 2026, 07:54
Solved by sanabas, kangaroo
Comments
on 20. September 2026, 06:23 by Invintic
...Oops. Of course I was bound to forget something :/ It is standard black kropki dot rules, just changed the page to reflect that. Thanks!
on 20. September 2026, 03:15 by Saltensity
Do the black dots mean anything, or is it normal black kropki rules?
