Logic Masters Deutschland e.V.

Living on the Diagonal

(Published on 25. May 2021, 00:10 by Sktx)

This is the 3rd puzzle in my "Still Life" series.

Link to play it on F-puzzles

If you want to check the previous and probably harder ones :
There is still life in my sandwich - Still Life + Sandwich Sudoku (very hard)
Eternal Life - Still Life Sudoku (hard but approachable)

*** RULES ***

Diagonal Sudoku rules apply : fill the grid with the digits 1 to 9 appearing each exactly once in every row, column, 3*3 box or 9-cell-long diagonal.

Still Life rules apply : every cell in the grid is either in state Dead or in state Alive - not both, and the grid is a stable configuration under Conway's Game of Life rules, i.e. :

Given that the "neighborhood" of a cell is made of all its orthogonally and diagonally adjacent cells inside the grid,

- Dead cells CAN NOT have exactly 3 Alive neighbors (otherwise they would come alive).

- Alive cells MUST have exactly 2 or 3 Alive neighbors (otherwise they would die)

- A CIRCLED cell's digit indicates the number of cells that are in the SAME state as its own in its neighborhood, INCLUDING its own cell.

- A SQUARED cell's digit indicates the number of cells that are in a DIFFERENT state from its own in its neighborhood (therefore not including its own cell).

- Possible squares or circles may not all be given... (no negative constraint needed)

- Clues outside the grid indicate the number of alive cells in the corresponding row/column. Not all of those are given.

- Some cells' state is given through coloring : blue for Dead, Orange for Alive.

***************

Huge thanks to Zombie Hunter and PrimeWeasel, who spent hours on my first puzzle construction and gave me valuable feedback, to help improve the Still Life rules and make better puzzles from it. Of course your feedback and questions on this one (the difficulty level, the rules, etc) are more than welcome !

Enjoy !

=========================

If you are unfamiliar with Conway's Game of Life and want to learn more about its many wonders, I recommend checking out those links :

Link: Wikipedia page of Conway's Game of Life

Link: online tool to try out the Game of Life
(and check if a pattern is stable. Try the 9x9 grid setting ;D ).

Solution code: The digits of the Dead cells in row 2 (from left to right) and then row 8. 13 digits in total, with no spaces.

Last changed on on 15. June 2021, 17:46

Solved by Zombie Hunter, Kafkapharnaum, polar, SSG, DaleVandermeer, lerroyy, taintedfox
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Comments

on 4. February 2024, 21:35 by Kafkapharnaum
Resolved this after close to 3 years, and wow, what a construction. Having set a number of these, I know just how hard it is to create a GoL sudoku, period, let alone with a clear solve path, but with both diagonals and this beautiful coloring, and these givens, that is just mindblowing to me
I think it might be a solid 4/5 though, as with all my experience, I thought I'd make shorter work of it, but it 'still' took me close to 30 min, while I was sure it'd take me half that haha. The diagonals are impressive, but also make some deductions really not so obvious. Or maybe I'm just Still Life rusty XD In any case, bravo for setting this, and I hope it'll join the other rated ones! :D

on 15. June 2021, 17:46 by Sktx
Added German (Google) translation

on 26. May 2021, 09:08 by Zombie Hunter
They keep getting better. Fine work.

Difficulty:3
Rating:N/A
Solved:7 times
Observed:6 times
ID:0006EM

Puzzle variant Shading puzzle

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Solution code:

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