The Miracle by Mitchell Lee

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The Miracle by Mitchell Lee

Postby 1to9only » Mon Jun 01, 2020 5:00 am

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|...|...|...|
|...|...|...|
|...|...|...|
+---+---+---+
|...|...|...|
|..1|...|...|
|...|...|2..|
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......................................1............2.............................

The Miracle is an anti-knight, anti-king, non-consecutive sudoku, which means that as well as normal Sudoku rules (that is, the numbers from 1 to 9 must appear only once in each row, column, and cage) the following rules also apply:

1. Anti-knight rules: no two squares that are a knight's move apart can have the same digit. (The knight's move is 2 along and 1 to the side, as in chess.)

2. Anti-king rules: no two squares that touch either horizontally, vertically or diagonally can have the same digit. (As in, no two squares a chess king can move between in a single move.)

3. Non-consecutive rules: no two squares that are horizontally or vertically adjacent can have consecutive numbers.

Each of these extra rules brings a new dimension to Sudoku and the result is an exquisite puzzle, which dazzles by starting with so little information - just two clues! -and yet has a unique solution. Hence it's name, the Miracle.

Text cut & pasted from this article: here.

There is a video clip on the BBC (UK) about people flocking to a youtube channel (Cracking The Cryptic) to watch Mark Goodliffe and Simon Anthony solve sudokus for entertainment and relaxation. BBC video: here, Cracking The Cryptic YouTube channel: here, Cracking The Cryptic solving The Miracle Sudoku (25m47s video): here.
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The New Miracle by Aad van de Wetering

Postby 1to9only » Mon Jun 01, 2020 5:19 am

Code: Select all
+---+---+---+
|...|...|...|
|...|...|...|
|...|.4.|...|
+---+---+---+
|..3|...|...|
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......................4......3...................................................

Cracking The Cryptic solving The New Miracle Sudoku (28m45s video): here
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Re: The Miracle by Mitchell Lee

Postby Mathimagics » Mon Jun 01, 2020 5:26 am

1to9only wrote:... the result is an exquisite puzzle, which dazzles by starting with so little information - just two clues! -and yet has a unique solution. Hence it's name, the Miracle

That's cool, but I would remind people that we have already created puzzles with zero clues, and even less rules: Absolutely Clueless
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Re: The Miracle by Mitchell Lee

Postby 1to9only » Mon Jun 01, 2020 6:20 am

SukakuExplainer rates the 2 Miracle puzzles as:
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......................................1............2............................. ED=2.9/1.2/1.2
......................4......3................................................... ED=2.9/2.9/2.5
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Re: The Miracle by Mitchell Lee

Postby Leren » Mon Jun 01, 2020 8:09 am

We've done clueless Str8ts to death years ago. Here is an example. Paste the following link into your browser's URL box and up will pop a picture of the puzzle. is.gd/Clueless_Str8ts

There are no clues, only one hint : Cell F3 is not 3. The solution is quite easy.

You can find out the rules of Str8ts here.

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Re: The Miracle by Mitchell Lee

Postby tarek » Tue Jun 02, 2020 4:11 pm

The miracle is that they found easy to solve 2 clue puzzles.

I attempted generating puzzles of this variant. I had many symmetric 2 clue puzzles!

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Re: The Miracle by Mitchell Lee

Postby Hajime » Tue Nov 08, 2022 12:08 pm

I discovered another miracle...

The same puzzle
Code: Select all
. . . . . . . . .   
. . . . . . . . .   
. . . . . . . . .   
. . . . . . . . .   
. . 1 . . . . . .   
. . . . . . 2 . .   
. . . . . . . . .   
. . . . . . . . .   
. . . . . . . . .


But slightly adjusted rules:
Normal Sudoku rules apply. Any two cells separated by a knight's move or
a king's move (in chess) cannot contain the same digit.
Any two orthogonallydiagonally adjacent cells cannot contain consecutive digits

(which is Ferz non consecutive, to remain in the chess moves)
leads to a far more difficult puzzle with a unique solution!

Code: Select all
3 4 5 6 7 8 9 1 2   
9 1 2 3 4 5 6 7 8   
6 7 8 9 1 2 3 4 5   
2 3 4 5 6 7 8 9 1   
8 9 1 2 3 4 5 6 7   
5 6 7 8 9 1 2 3 4   
1 2 3 4 5 6 7 8 9   
7 8 9 1 2 3 4 5 6   
4 5 6 7 8 9 1 2 3

Watch the sequence of digits per row.
Indeed amazing...
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Re: The Miracle by Mitchell Lee

Postby Hajime » Tue Nov 08, 2022 2:20 pm

And the same for
Code: Select all
. . . . . . . . .   
. . . . . . . . .   
. . . . 4 . . . .   
. . 3 . . . . . .   
. . . . . . . . .   
. . . . . . . . .   
. . . . . . . . .   
. . . . . . . . .   
. . . . . . . . .   

with the diagonally FERZ non consecutive rule gives:
Code: Select all
6 3 9 5 2 8 4 1 7   
7 4 1 6 3 9 5 2 8   
8 5 2 7 4 1 6 3 9   
9 6 3 8 5 2 7 4 1   
1 7 4 9 6 3 8 5 2   
2 8 5 1 7 4 9 6 3   
3 9 6 2 8 5 1 7 4   
4 1 7 3 9 6 2 8 5   
5 2 8 4 1 7 3 9 6   

watch the sequences in the columns
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