The New Sudoku Players' Forum

[mith]

Code: Select all

..9..4...6..3.8.........5.786....79.....1.....13....423.5...9.....2.7..4...6..1..  ED=2.3/1.2/1.2
..9..4...6..3.8.........5.786....79.....2.....13....423.5...9.....2.7..4...6..1..  ED=1.5/1.2/1.2
..9..4...6..3.8.........5.786....79.....3.....13....423.5...9.....2.7..4...6..1..  ED=2.0/1.2/1.2
..9..4...6..3.8.........5.786....79.....4.....13....423.5...9.....2.7..4...6..1..  ED=7.2/1.2/1.2
..9..4...6..3.8.........5.786....79.....5.....13....423.5...9.....2.7..4...6..1..  ED=2.0/1.2/1.2
..9..4...6..3.8.........5.786....79.....6.....13....423.5...9.....2.7..4...6..1..  ED=7.2/1.2/1.2
..9..4...6..3.8.........5.786....79.....7.....13....423.5...9.....2.7..4...6..1..  ED=2.3/1.2/1.2
..9..4...6..3.8.........5.786....79.....8.....13....423.5...9.....2.7..4...6..1..  ED=2.3/1.2/1.2
..9..4...6..3.8.........5.786....79.....9.....13....423.5...9.....2.7..4...6..1..  ED=2.0/1.2/1.2

found by @TopAutism of the CTC Community discord
You can give r3c3 for full rotational symmetry, this is just the minimal version

Has something like this been done before? (I was aware previously of a puzzle with 7 options for the central cell, and I've made a (rather inelegant) thermo with the 9-in-1 property, but as far as I know this is the first example for the full 9-in-1 classic.)

[m_b_metcalf]

Very interesting. I note that for 5r5c6 the puzzle has rotational symmetry for the values of the givens (r3c3 is missing, but is always 1).

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  7  3  9  5  1  4  2  6  8
  6  5  2  3  7  8  4  1  9
  4  8  1  9  6  2  5  3  7
  8  6  4  1  2  3  7  9  5
  9  2  7  4  5  6  3  8  1
  5  1  3  7  8  9  6  4  2
  3  7  5  8  4  1  9  2  6
  1  9  6  2  3  7  8  5  4
  2  4  8  6  9  5  1  7  3
  4 8  is redundant

Mike

[JPF]

Good find!

The concept of "mutable" digits had been developed some time ago in this thread.
Mauricio had found the first puzzle with a 9-mutable cell here.

JPF

[mith]

Good find!

The concept of "mutable" digits had been developed some time ago in this thread.
Mauricio had found the first puzzle with a 9-mutable cell here.

JPF

Thanks JPF, figured if it had been done someone here would know!

[mith]

I should add that there is a very pretty one-stepper with the 4/6 versions:

Hidden Text: Show

Where does r1c1 go in c4 and r6? Where does r9c9 go in c6 and r4?

[eleven]

Ah, nice.