http://forum.enjoysudoku.com/x-windoku-windows-closed-windows-open-t39319.html
I tried to do the same but then without diagonals.
My first attempt:
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open windows windoku
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open windows windoku
by urhegyi » Sat Nov 13, 2021 2:01 pm
Here Mike Metcalf has pointed my attention on a concept he has developed with x-windoku that doesn't contain clues in the windoku windows.
http://forum.enjoysudoku.com/x-windoku-windows-closed-windows-open-t39319.html
I tried to do the same but then without diagonals.
My first attempt:
http://forum.enjoysudoku.com/x-windoku-windows-closed-windows-open-t39319.html
I tried to do the same but then without diagonals.
My first attempt:
- urhegyi
- Posts: 743
- Joined: 13 April 2020
Re: open windows windoku
by m_b_metcalf » Sat Nov 13, 2021 6:49 pm
Nice puzzle, and minimal too.
Regards,
Mike
P.S. As always, a text version is appreciated.
Regards,
Mike
P.S. As always, a text version is appreciated.
-
m_b_metcalf - 2017 Supporter
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Re: open windows windoku
by m_b_metcalf » Wed Nov 17, 2021 1:13 pm
I wondered how few clues it's possible to reach if one gives up on symmetry. My best after a few tries was:
- Code: Select all
+---+-----------+---+-----------+---+
| 5 | . . 9 | 4 | . . . | . |
+---+-----------+---+-----------+---+
| . | . . . | 3 | . . . | 2 |
| | | | | |
| . | . . . | . | . . . | . |
| | | | | |
| 9 | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . 6 . | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | 5 |
| | | | | |
| . | . . . | . | . . . | . |
| | | | | |
| . | . . . | 2 | . . . | 3 |
+---+-----------+---+-----------+---+
| . | 3 5 . | . | 8 1 . | 7 |
+---+-----------+---+-----------+---+
5..94........3...2.........9..........6..............5.............2...3.35..81.7
Windoku, windows open, hard (SE = 9.2), minimal, 15 clues.
-
m_b_metcalf - 2017 Supporter
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Re: open windows windoku
by urhegyi » Mon Nov 22, 2021 5:01 pm
After the windokus without clues in the windows, now i'm exploring the so called closed windows with no clues outside the 4 windows.
Mike Metcalf already did this with diagonals. Now I found a generating pattern without them.
Examples follow:
Mike Metcalf already did this with diagonals. Now I found a generating pattern without them.
Examples follow:
Hidden Text: Show
- urhegyi
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Re: open windows windoku
by m_b_metcalf » Mon Nov 22, 2021 6:28 pm
urhegyi wrote:After the windokus without clues in the windows, now i'm exploring the so called closed windows with no clues outside the 4 windows.
Mike Metcalf already did this with diagonals. Now I found a generating pattern without them.
Well done. On a quick test I could find none with fewer clues.
M
-
m_b_metcalf - 2017 Supporter
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Re: open windows windoku
by m_b_metcalf » Wed Nov 24, 2021 10:56 am
Using your solution grids, I found a puzzle with only 15 clues:
- Code: Select all
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . 2 . | . | . . 3 | . |
| | | | | |
| . | . 5 . | . | 8 6 7 | . |
| | | | | |
| . | 7 . . | . | . . 2 | . |
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . . 3 | . | . 9 . | . |
| | | | | |
| . | . . 9 | . | . 5 6 | . |
| | | | | |
| . | . 4 1 | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
Windoku, windows closed, 15 clues, SE 3.4.
-
m_b_metcalf - 2017 Supporter
- Posts: 13583
- Joined: 15 May 2006
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Re: open windows windoku
by urhegyi » Wed Nov 24, 2021 11:28 am
Here a few more with 15 clues and closed windows:
One of them is equivalent to yours:
And a few with only 14 clues and closed windows:
Hidden Text: Show
One of them is equivalent to yours:
- Code: Select all
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . 1 . | . | . . 6 | . |
| | | | | |
| . | . 2 . | . | 8 4 3 | . |
| | | | | |
| . | 3 . . | . | . . 1 | . |
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . . 6 | . | . 7 . | . |
| | | | | |
| . | . . 7 | . | . 2 4 | . |
| | | | | |
| . | . 5 9 | . | . . . | . |
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
...........1....6...2..843..3.....1.............6..7.....7..24...59..............
Windoku, windows closed, 15 clues, SE 3.4.
And a few with only 14 clues and closed windows:
- Code: Select all
...........5....6...3..974..8...................4..5.....2..19...76.............. ED=8.3/1.5/1.5
...........9....8...1..964..2...................3..7.....8..31...64.............. ED=2.9/1.5/1.5
...........4....8...1..964..2...................3..7.....8..91...65.............. ED=2.9/1.5/1.5
...........2....8...1..954..5...................3..7.....8..13...64.............. ED=7.2/1.5/1.5
...........2....8...1..964..5...................3..7.....8..23...64.............. ED=2.9/1.5/1.5
...........1....4...5..936..6...................8..5.....2..89...74.............. ED=7.1/1.5/1.5
...........3....1...4..352..9...................1..6.....2..14...57.............. ED=2.9/1.5/1.5
...........3....1...4..952..9...................8..6.....2..13...57.............. ED=2.9/1.5/1.5
...........3....7...4..592..9...................2..6.....8..13...57.............. ED=2.9/1.5/1.5
...........9....4...1..385..8...................6..7.....4..69...25.............. ED=7.1/1.5/1.5
...........9....6...1..385..8...................6..7.....4..69...25.............. ED=8.3/1.5/1.5
...........9....8...6..325..8...................5..7.....4..63...21.............. ED=4.2/1.5/1.5
...........9....6...1..325..8...................3..7.....4..69...25.............. ED=2.9/1.5/1.5
...........9....8...1..325..8...................6..7.....4..69...25.............. ED=2.9/1.5/1.5
...........9....1...6..325..8...................1..7.....4..63...25.............. ED=2.9/1.5/1.5
...........4....1...8..273..3...................7..5.....9..42...26.............. ED=2.9/1.5/1.5
...........7....4...9..825..6...................2..1.....5..72...34.............. ED=2.9/1.5/1.5
- urhegyi
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Re: open windows windoku
by m_b_metcalf » Fri Mar 04, 2022 9:46 am
urhegyi wrote:And a few with only 14 clues and closed windows:
14-clue open-windows windokus also exist:
- Code: Select all
+---+-----------+---+-----------+---+
| . | 2 . . | . | . . 8 | . |
+---+-----------+---+-----------+---+
| . | . . . | . | . . . | 6 |
| | | | | |
| . | . . . | 3 | . . . | 5 |
| | | | | |
| . | . . . | . | . . . | . |
+---+-----------+---+-----------+---+
| . | 6 . . | . | . . . | . |
+---+-----------+---+-----------+---+
| 8 | . . . | . | . . . | . |
| | | | | |
| . | . . . | 2 | . . . | . |
| | | | | |
| 5 | . . . | 1 | . . . | . |
+---+-----------+---+-----------+---+
| 7 | . . . | . | 4 . 3 | 8 |
+---+-----------+---+-----------+---+ windoku, open windows, 14 clues
.2.....8.........6....3...5..........6.......8............2....5...1....7....4.38 14 clues, ED=1.7/1.2/1.2
..34.........8...6.................1....4..528............2....5.........19....3. 14 clues, ED=2.0/1.5/1.5
1...2..345............3...............6..7.58........7.................1..2.6.... 14 clues, ED=2.0/1.2/1.2
..1.....2.............3...4..........5.6.2.7..........8...1.............6..8..3.7 14 clues, ED=5.7/1.2/1.2
And here are some other open- or closed-windows puzzles picked up along the way:
Hidden Text: Show
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m_b_metcalf - 2017 Supporter
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- Joined: 15 May 2006
- Location: Berlin
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