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A variety of Sudoku Variants
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Sat Jul 23, 2005 9:24 pm    Post subject: A variety of Sudoku Variants Reply with quote

These images are also here:
http://sudokuvariants.blogspot.com/ ]


The names are merely descriptive. I don't know what they may actually be named. They are all from Japanese magazines 5 to 10 years old.


Irregular groups.
Very common variant. Sub-groups are irregular instead of 3x3 boxes. These irregular groups may or may not be symmetrical.


Disjoint groups

In addition to the standard 27 groups (rows, columns, boxes), there are 9 more "disjoint" groups, each shaded on of 9 colors. All digits on one color must be different.


Diagonals

The two main diagonals must also contain each digit.


Extra groups

In addition to the standard 27 groups (rows, columns, boxes), there are 4 more groups, shown with shading. The number of auxillary groups varies.


Even and Odd

Dark shaded cells will have even numbers, light will have odd.


Overlapping plus diagonal groups

These overlapping puzzles include diagonal groups -- the 4 main diagonals must have one of each digit.


Overlapping

A variation from the standard overlapping puzzle



Overlapping
A variation from the standard overlapping puzzle. Cells marked with squares are not used in solving, only for sending in solution. Purpose for STAR cell is unknow. I'm guessing it's a hint -- either something like START HERE -- or possible there is an actual clue somewhere in the magazine. I don't know; I don't speak Japanese.



Three overlapping -- tight



Four Overlapping, standard
Again, don't know what the star is for. You can ignore the four square marks in cells.

Four overlapping variation

A variation of the standard 4 overlapping puzzle


Five overlapping, standard



Seventeen overlapping 9x9 puzzles


25x25
Notice the English word TEN is embedded in the pattern and it's not quite symmetrcial.


Last edited by tso on Sun Jul 24, 2005 12:58 pm; edited 1 time in total
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Wed Aug 10, 2005 4:35 pm    Post subject: Reply with quote

I've edited the previous post in the hopes that the images will now display properly. PM me if the do not, otherwise, reply here.
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lunababy_moonchild



Joined: 23 Mar 2005
Posts: 724

PostPosted: Wed Aug 10, 2005 10:56 pm    Post subject: Reply with quote

I've seen the Irregular Groups, and the Diagonals but nothing else.

Certainly are interesting variations to the standard 9 x 9 puzzle.

Luna
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The Druid



Joined: 22 Apr 2005
Posts: 33
Location: UK

PostPosted: Thu Aug 11, 2005 9:51 am    Post subject: Reply with quote

I can see them all correctly. How exciting they are! Thanks, Tso, for posting them.

The Druid
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Fri Aug 12, 2005 12:08 pm    Post subject: Reply with quote

This puzzle is in the PQRST 14 competition. (Puzzle number 4).

Fill the grid with the digits 1 - 7, so that no two digits are in the same row or column. The clues give are the products of the four cells that meet at that corner. (The puzzle isn't quite a Sudoko variant as there are no boxes, just rows and columns, so it's more of a Latin Square variant.)

Code:
+-----+-----+-----+-----+-----+-----+-----+
|     |     |     |     |     |     |     |
|     |     |     |     |     |     |     |
+-----+-----+-----+---[168]---+----[ 24]--+
|     |     |     |     |     |     |     |
|     |     |     |     |     |     |     |
+-----+-----+---[120]---+-----+-----+-----+
|     |     |     |     |     |     |     |
|     |     |     |     |     |     |     |
+---[192]---+---[ 60]---+---[105]---+-----+
|     |     |     |     |     |     |     |
|     |     |     |     |     |     |     |
+-----+-----+-----+---[120]---+-----+-----+
|     |     |     |     |     |     |     |
|     |     |     |     |     |     |     |
+---[ 36]---+-----+-----+-----+-----+-----+
|     |     |     |     |     |     |     |
|     |     |     |     |     |     |     |
+-----+---[ 20]---+---[ 84]---+-----+-----+
|     |     |     |     |     |     |     |
|     |     |     |     |     |     |     |
+-----+-----+-----+-----+-----+-----+-----+
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Fri Aug 12, 2005 12:12 pm    Post subject: Reply with quote

Menneske has started to make irregular-group puzzles, like the one at the very top of this thread.
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Fri Aug 19, 2005 6:01 pm    Post subject: Reply with quote

Menneske has started to make Sudokus with Diagonals.
and Disjoint Groups. Disjoint Group Sudoku, until now, have been rarely found outside if Japanese Puzzle magazines.
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dukuso



Joined: 25 Jun 2005
Posts: 378
Location: Germany

PostPosted: Fri Aug 19, 2005 9:59 pm    Post subject: Reply with quote

can you also make another thread without the pictures,
just the descriptions ?
It's loading slowly with the pictures.
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Lardarse



Joined: 01 Jul 2005
Posts: 106
Location: Bristol, UK

PostPosted: Mon Aug 22, 2005 5:20 am    Post subject: Reply with quote

Has anyone tried the Sum Doku that is also listed on the linked page? I'm trying to do it and it's bloody hard...
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Mon Aug 22, 2005 7:17 am    Post subject: Reply with quote

Hmm ... looks like I left these three out of the original post:

SUM DOKU


Clues are the sum of several cells.
EDIT: IMPORTANT! No digit may appear twice within any of the numbered areas marked by dotted lines.

I've also seen these where the PRODUCT is used instead of the SUM.

SEQUENTIAL PUZZLE



Seqential puzzle.
Must be solved in sequence. Start with upper right, then follow arrows. After solving first puzzle, transfer six numbers in to the cells marked with squares in the second puzzle, etc. Solver may have to work in both directions. Topologicly, this is the same concept as the overlapping puzzles, but in this case, the overlap is disjoint cells. Any cell marked with a square in puzzle X is really one and the same cell in puzzle X-1.


DIAGONALS, NO BOXES



Diagonals, no boxes.
This is a primative variation. Groups are rows, columns and two main diagonals -- no boxes.


Last edited by tso on Wed Aug 31, 2005 5:14 pm; edited 1 time in total
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Moschopulus



Joined: 16 Jul 2005
Posts: 257

PostPosted: Mon Aug 22, 2005 3:24 pm    Post subject: Reply with quote

I don't think you mentioned this variant:
http://www.mathpuzzle.com

Some squares are coloured blue.
For each number k from 1 to 9 there is a box with k blue squares.
In the box with k blue squares, the numbers from 1 to k must go
in the blue squares.
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Thu Aug 25, 2005 7:25 am    Post subject: Reply with quote

This is the puzzle from Mathpuzzle.com

Each row, column, box and the two main diagonals contain 1 of each digit.

Also, each cell marked with an 'o' contains a smaller digit than the starting digit in the same box.

Code:

 . . . | o 7 o | . 6 o 
 . . . | o . o | o o o 
 2 o . | o o . | . . o 
-------+-------+-------
 o o o | o o . | . . . 
 o 9 o | . 5 o | . . . 
 o o o | . . o | 1 . . 
-------+-------+-------
 o . 4 | . . . | o o o 
 . o o | . . . | o o o 
 . . . | o o 3 | 8 o .
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catilina



Joined: 25 Aug 2005
Posts: 3

PostPosted: Thu Aug 25, 2005 12:52 pm    Post subject: Reply with quote

I have tried the (invalid?) Sum Doku and found 3 (?) solutions.

Code:

(1)

+-------+-------+-------+
| 6 8 9 | 3 7 2 | 1 4 5 |
| 4 1 2 | 5 8 9 | 6 7 3 |
| 5 3 7 | 4 6 1 | 9 8 2 |
+-------+-------+-------+
| 1 2 4 | 9 5 7 | 3 6 8 |
| 7 9 3 | 8 2 6 | 4 5 1 |
| 8 5 6 | 1 3 4 | 7 2 9 |
+-------+-------+-------+
| 3 6 1 | 2 4 8 | 5 9 7 |
| 2 4 5 | 7 9 3 | 8 1 6 |
| 9 7 8 | 6 1 5 | 2 3 4 |
+-------+-------+-------+

(2)

+-------+-------+-------+
| 6 8 9 | 3 7 2 | 1 4 5 |
| 4 1 2 | 5 8 9 | 6 7 3 |
| 5 3 7 | 4 6 1 | 9 8 2 |
+-------+-------+-------+
| 1 2 4 | 9 5 7 | 3 6 8 |
| 9 7 3 | 8 2 6 | 4 5 1 |
| 8 5 6 | 1 3 4 | 7 2 9 |
+-------+-------+-------+
| 3 6 1 | 2 4 8 | 5 9 7 |
| 2 4 5 | 7 9 3 | 8 1 6 |
| 7 9 8 | 6 1 5 | 2 3 4 |
+-------+-------+-------+

(3)

+-------+-------+-------+
| 6 8 9 | 3 7 2 | 4 1 5 |
| 4 1 2 | 5 8 9 | 7 6 3 |
| 5 3 7 | 4 6 1 | 8 9 2 |
+-------+-------+-------+
| 1 2 6 | 9 5 7 | 3 4 8 |
| 9 5 3 | 8 2 4 | 6 7 1 |
| 8 7 4 | 1 3 6 | 5 2 9 |
+-------+-------+-------+
| 3 6 1 | 2 4 8 | 9 5 7 |
| 2 4 5 | 7 9 3 | 1 8 6 |
| 7 9 8 | 6 1 5 | 2 3 4 |
+-------+-------+-------+


I liked this one, though. Does anybody know a source for these "Sum Dokus"?
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tso



Joined: 22 Jun 2005
Posts: 800

PostPosted: Thu Aug 25, 2005 7:16 pm    Post subject: Reply with quote

Too bad it has multiple solutions. It's hand made from a old Japanese magazine. (I don't speak Japanese -- there may have been an additional verbal clue.) I don't know of any regular source. That was one of the reasons I made this post -- to get some people interested in creating some of the different variations. And it's worked, as Vegard Hanssen is now make several of the best variants here.

I'll check my stacks for other Sum Duko.

Edit: Only last solution is valid. First two have duplication of digits in one enclosure. r7c5-r7c6-r6c6-r6c7 cannot be 4-8-4-7 as it is in the first two -- it can only be 4-8-6-5 as it is in the last one.


Last edited by tso on Sat Sep 03, 2005 10:33 pm; edited 1 time in total
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Lardarse



Joined: 01 Jul 2005
Posts: 106
Location: Bristol, UK

PostPosted: Fri Aug 26, 2005 3:53 am    Post subject: Reply with quote

Are those teh only solutions that fit? Because I found that a 4 in R3C4 leads to a contradiction...

LA

Edit: That's only becase I then somehow managed to put a 3 in R3C9...
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