Samurai Hypercube
(Published on 2. April 2022, 00:45 by Kafkapharnaum)
Inspired by DiMono’s 4x4 and 6x6 Hypercubes, as well as his Little Samurai
Solve on Penpa
Solve on the CTC app
RULES
Normal 5x5 sudoku rules apply, except that the grids each use a different set of five consecutive digits from 1 to 5, 2 to 6, 3 to 7, 4 to 8, and 5 to 9. Which four of these five sets and which grid uses which set must be determined by the solver.
In the finished solution, the relative digits in each grid will be in the same place. i.e. if for example, of two grids that have been determined to use the 3 to 7 and 5 to 9 sets, respectively, the top row of the first reads 6-7-3-5-4, then the top row of the other will read 8-9-5-7-6, and so on for the other grids.
Samurai rules: Where two grids intersect, the digits in the shared cells are common to both grids.
Digits along an arrow sum to the digit in the attached circle and may repeat if allowed by other rules.
Black kropki dots between two cells indicate that these cells form a 1 to 2 ratio.
Digits in cages may not repeat.
Solve on Penpa
Solve on the CTC app
RULES
Normal 5x5 sudoku rules apply, except that the grids each use a different set of five consecutive digits from 1 to 5, 2 to 6, 3 to 7, 4 to 8, and 5 to 9. Which four of these five sets and which grid uses which set must be determined by the solver.
In the finished solution, the relative digits in each grid will be in the same place. i.e. if for example, of two grids that have been determined to use the 3 to 7 and 5 to 9 sets, respectively, the top row of the first reads 6-7-3-5-4, then the top row of the other will read 8-9-5-7-6, and so on for the other grids.
Samurai rules: Where two grids intersect, the digits in the shared cells are common to both grids.
Digits along an arrow sum to the digit in the attached circle and may repeat if allowed by other rules.
Black kropki dots between two cells indicate that these cells form a 1 to 2 ratio.
Digits in cages may not repeat.
Solution code: From left to right, the top two rows of the red grid, in order --- 10 digits total
Last changed on on 22. August 2024, 23:22
Solved by filuta, Jaych, Samish, Luaryo, wullemuus
Comments
on 15. July 2022, 22:47 by Samish
Absolutely loved it ! The hardest part is to get your head around the duality of each cell (its order and its actual digit), then the logic is simple and beautiful, and it's very satisfying that there is a solution at all, in the end !
Last changed on 2. April 2022, 16:38
on 2. April 2022, 16:31 by filuta
yeah, the combination of rulesets works out pretty well. nice little puzzle, way below suggested 4 stars difficulty though.
............
Thank you so much for your solve! I fully agree with regards to the difficulty, but I was wondering if I had misjudged it, what with it not getting any solves!
