... 6,670,903,752,021,072,936,960 (6.67×1021) distinct Sudoku solutions. I was never into the game. Then I learned about Phistomefel Ring which comes from Set Equivalence Theory. Do you notice a pattern?
Sudoku puzzles are dealing with sets of numbers with very strict rules. There are 81 squares and each digit from 1-9 gets repeated exactly 9 times. Each row, column and 3X3 square needs to have 1 of each digit.
There needs to be at least 17 clues to make sure that everyone arrive at the same answer. This does not mean every Sudoku can be solved with only 17 clues. What mathematicians have figured out is that there are no Sudoku that can be solved if there were only 16 clues.
For those who are willing to dig deeper, there are even more cheat codes that can make solving Sudoku even faster. The mathematics and geometry of these "cheats" is fascinating; but also a little difficult to grasp for complete a beginner.
Sudokus have a lot of interesting mathematical properties.
The Phistomefel's ring is interestingly helpful because of the corner squares. (4 & 1) And that its shape is easy to remember.
There are some interesting areas that you can make with this, but nothing quite as memorable.
And yes, there is a minimum amount of clues needed. Like, you can leave out one number, but you cannot leave out two. Because the two numbers could be swapped with both producing proper solutions.
I have only recently begun learning about these things. Phistomefel Ring was the easiest to get started with. Even the basic math behind it is easy to follow compared to the other tricks.
!PIZZA
!LUV
!CTP
Sudoku puzzles are dealing with sets of numbers with very strict rules. There are 81 squares and each digit from 1-9 gets repeated exactly 9 times. Each row, column and 3X3 square needs to have 1 of each digit.
Posted via D.Buzz
Interesting your input and mathematical information behind this exciting mathematical game. Happy day to you.
There needs to be at least 17 clues to make sure that everyone arrive at the same answer. This does not mean every Sudoku can be solved with only 17 clues. What mathematicians have figured out is that there are no Sudoku that can be solved if there were only 16 clues.
Posted via D.Buzz
For those who are willing to dig deeper, there are even more cheat codes that can make solving Sudoku even faster. The mathematics and geometry of these "cheats" is fascinating; but also a little difficult to grasp for complete a beginner.
Posted via D.Buzz
I like solving Sudoku puzzles without cheat codes 😄
Sudokus have a lot of interesting mathematical properties.
The Phistomefel's ring is interestingly helpful because of the corner squares. (4 & 1) And that its shape is easy to remember.
There are some interesting areas that you can make with this, but nothing quite as memorable.
And yes, there is a minimum amount of clues needed. Like, you can leave out one number, but you cannot leave out two. Because the two numbers could be swapped with both producing proper solutions.
I have only recently begun learning about these things. Phistomefel Ring was the easiest to get started with. Even the basic math behind it is easy to follow compared to the other tricks.
!PIZZA
!LUV
!CTP
$PIZZA slices delivered:
@vimukthi(2/5) tipped @builderofcastles