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crackingthecryptic

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Kurt Hugo Schneider's 6x6 diagonal Sudoku

We hope you've had a chance to look at this very clever puzzle constructed by Kurt by now.  (Link below if not).  Kurt sent it to us as he's been investigating geometric properties in 6x6 puzzles (as you do!)

There is an old Patreon video on properties of diagonal 6x6 puzzles in which Kurt himself proves the property relevant to solving this one... it's linked below if you want to check it out.

Anyway, armed with some knowledge of the theory, Simon decided to give it a go! Let us know if you think we should post this one on the main channel at some point!!

Simon & Mark


Links:

Simon's Solve:

https://youtu.be/mE41M2HwsrQ

Play the puzzle:

https://app.crackingthecryptic.com/sudoku/tNJDm73TjD  

Rules: 

Normal sudoku rules apply. Along a long diagonal (marked in blue) digits may not repeat. Clues outside the grid give the sum of the digits along the indicated diagonal. The cage clue gives the sum of its cage. x is a number that must be determined.

Kurt's proof on symmetry:

https://youtu.be/hY5DTsQIuEU

Kurt's YouTube:

https://www.youtube.com/user/kurthugoschneider


Comments

Simon, please publish Kurt's video about Rangsk's puzzle (One hundred and five). See also my comment below your video about Potatohead's theorem and its permutations. They provide additional constraints acting on the symmetric configuration of 6x6 X-sudokus.

Paolo De Leva

This puzzle was very fun to solve. Thank you

Christopher Bares

"Thou SHALL Kill Sandwiches!!!!" Sudoku Puzzle by, Tyson Price, made on Wednesday, September 20, 2023. Rules: 1. Normal Sudoku rules apply 2. Digits within cages must sum to the total given at the top left corner of the cage. Digits cannot repeat within a cage. 3. Clues on the top of the grid and on the left hand side of the grid are Sandwich clues, telling you the sum of the digits sandwiched between the 1's and the 9's. 4. Clues on the bottom of the grid and on the right hand sid of the grid are Little Killer clues telling you the sum of the digits in the diagonal that the arrow is pointing to. 5. Cells that appear in the same potition relative to their default regions must not contain the same digits. Good luck on working on this Sudoku Puzzle. Go eat/kill a sandwich, of your choice, to satisfy your hunger, and then enjoy working on this Sudoku Puzzle, after eat/kill a sandwich. Thank you. Thanks. If you need the answer sheet, let me, Tyson Price, know, by texting me at 1-801-864-6631 or by emailing me at pricetyson97530@gmail.com Heavenly Father/God, Jesus Christ, and The Holy Ghost love you and are your best 3 Friends you will always have. Smile and be happy. Love everyone. Be kind with everyone. Stay out of trouble. Be safe and protected. You are a good person. You are a Child of Heavenly Father/God. I love you. Have a GREAT day, night, and week. Bye. If you want to, you can creat a Sudoku Puzzle for me to work on, by going onto www.f-puzzles.com Here is the link for you to work on it, on the computer, if you wish to. https://f-puzzles.com/?load=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=


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