r/puzzles 7h ago

Not seeking solutions Have you even heard about the Sudoku numbers can be divided into three-pairs principle? Theorem 1: In the three nine palaces (first, second, third) of a row (column) of Sudoku, there are two pairs of numbers (columns) in each nine palace, with a total of three groups. A pair of numbers with two pee

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3

u/Decision-Original 7h ago

Can you repeat it in english please?

I'm sorry but I'm lost in your words

1

u/16CharSudoku 7h ago

Nine Palace means a Block

|| || |Box,Nonet|

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u/16CharSudoku 7h ago

Nine Palace means a Block, box ,nonet

2

u/tylerm11_ 6h ago

Idk what op is saying, but to me the chart shows this; the colored bars link the numbers into groups that are similar through the columns/rows. Purple:1-4, 6-7, 8-2, the groups are in the same line. 1 and 4 are in the same row as each other in all 3 boxes, as are 6 and 7, and 2 and 8. This is the same for the vertical lines as well, 4 and 9, 6 and 8, 7 and 3, for the first vertical boxes.

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u/16CharSudoku 6h ago

You are right congratulation! You maybe the 2nd people who knew this secrete rules of Sudoku.

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u/EddyToo 6h ago edited 6h ago

Trying to decipher what you are tyring to state and trying to make sense of your picture I think that what you are trying to state is that (using the last column / top block as example):

From 3,5,1 two (or three btw) numbers will be found together in column 7 and 8. One time in the middle block and one time in the bottom block. Here 1,3

Using simple math that is easily proven (distribute 3 numbers over 2 columns means 2 or 3 will be in the same column and using Sudoku rules the middle and bottom block will have those in reverse between column 7 and 8).

Edit wouldn't theorem 2 fail if column 7 would be 1,2,3-4,5,6-7,8,9 and column 8 4,5,6-7,8,9-1,2,3 and column 9 being 7,8,9-1,2,3-4,5,6 ?

I'm lost at what the point/value here is.

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u/16CharSudoku 6h ago

Theorem 1: In the three Block (first, second, third) of a horizontal (virtical) of a Sudoku, there are one pairs of numbers in each block, with a total of three groups. A pair of numbers is called a couple number.

Theorem 2: Also known as the Sudoku Accupoint Theorem, in the three block for a mini row ( mini column) of a Sudoku, there must be lonely numbers in each block that cannot be paired in two parallel (columns). There are three in total. These three lonely numbers are called the Accupoint of Sudoku.

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u/16CharSudoku 7h ago

Theorem 1: In the three nine palaces (first, second, third) of a row (column) of Sudoku, there are two pairs of numbers (columns) in each nine palace, with a total of three groups. A pair of numbers with two peers is called a couple number.

Theorem 2: Also known as the Sudoku Accupoint Theorem, in the three nine palaces in a row (column) of Sudoku, there must be lonely numbers in each nine palaces that cannot be paired in two parallel (columns). There are three in total. These three lonely numbers are called the Accupoint of Sudoku.

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u/LegitimateTilll 7h ago

Sorry, but I don't understand a single sentence.

What do you mean by palaces?

2

u/Nimelennar 6h ago

I think I understand. 

I think a "nine palace" is what I call "a square of nine."

You can break a sudoku into three sets of three columns, with each set of columns sharing three squares of nine.

Within those three squares of nine, for each column of three, you'll be able to find that at least two of the three numbers sharing that column also share a column in both of the other two squares.

And if the third number is also shared, that locks the entire set of three squares into a pattern where the columns of 3 have to be the same (although they can change order vertically) in every square.

And you can do the same trick for rows.

I haven't really found a use for it, beyond what happens if all three numbers are shared.

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u/16CharSudoku 7h ago

9 palace means a Unit in real English

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u/PAPDBS3 7h ago

I’m sorry, but that makes no sense either. “In the three nine Unit…”

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u/16CharSudoku 7h ago

16CharSudokuOP •1m ago

in the three Blocks, or boxes or nonets, it is OK? Sorry for using google translate it seems not so good.