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.
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Irregular groups.
Very common variant. Sub-groups are irregular instead of 3x3 boxes. These irregular groups may or may not be symmetrical.
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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.
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Diagonals
The two main diagonals must also contain each digit.
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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.
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Even and Odd
Dark shaded cells will have even numbers, light will have odd.
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Overlapping plus diagonal groups
These overlapping puzzles include diagonal groups -- the 4 main diagonals must have one of each digit.
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Overlapping
A variation from the standard overlapping puzzle
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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.
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Three overlapping -- tight
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Four Overlapping, standard
Again, don't know what the star is for. You can ignore the four square marks in cells.
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Four overlapping variation
A variation of the standard 4 overlapping puzzle
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Five overlapping, standard
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Seventeen overlapping 9x9 puzzles
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25x25
Notice the English word TEN is embedded in the pattern and it's not quite symmetrcial.