A variety of Sudoku Variants

For fans of Killer Sudoku, Samurai Sudoku and other variants

A variety of Sudoku Variants

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 4:58 pm, edited 1 time in total.
tso

Posts: 798
Joined: 22 June 2005

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.
tso

Posts: 798
Joined: 22 June 2005

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

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

Luna
lunababy_moonchild

Posts: 659
Joined: 23 March 2005

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

The Druid
The Druid

Posts: 33
Joined: 22 April 2005

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

Posts: 798
Joined: 22 June 2005

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

Posts: 798
Joined: 22 June 2005

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.
tso

Posts: 798
Joined: 22 June 2005

can you also make another thread without the pictures,
just the descriptions ?
dukuso

Posts: 479
Joined: 25 June 2005

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...
Lardarse

Posts: 106
Joined: 01 July 2005

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 9:14 pm, edited 1 time in total.
tso

Posts: 798
Joined: 22 June 2005

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.
Moschopulus

Posts: 256
Joined: 16 July 2005

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: Select all
` . . . | 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 . `
tso

Posts: 798
Joined: 22 June 2005

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

Code: Select all
`(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"?
catilina

Posts: 3
Joined: 25 August 2005

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 Sun Sep 04, 2005 2:33 am, edited 1 time in total.
tso

Posts: 798
Joined: 22 June 2005

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...
Lardarse

Posts: 106
Joined: 01 July 2005

Next