The Miracle by Mitchell Lee

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The Miracle by Mitchell Lee

Postby 1to9only » Mon Jun 01, 2020 8:00 am

Code: Select all
+---+---+---+
|...|...|...|
|...|...|...|
|...|...|...|
+---+---+---+
|...|...|...|
|..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 8:19 am

Code: Select all
+---+---+---+
|...|...|...|
|...|...|...|
|...|.4.|...|
+---+---+---+
|..3|...|...|
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|...|...|...|
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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 8:26 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 9:20 am

SukakuExplainer rates the 2 Miracle puzzles as:
Code: Select all
......................................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 11:09 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 7:11 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 2:08 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 orthogonally diagonally 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 4:20 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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