Sudoku Arrow

For fans of Killer Sudoku, Samurai Sudoku and other variants

Sudoku Arrow

Postby koushanejad74 » Wed Jul 31, 2019 6:49 pm

Sudoku Arrow is similar to traditional Sudoku with one additional rule:

Numbers in each arrow must be strictly increasing in the direction of the arrow.

In other words, if number "X" appears in an arrow, the numbers appearing after "X", must be greater than "X"; similarly
the numbers appearing before "X", must be smaller than "X".

You can construct a lot of rules, for examples number "9" cannot appear in the middle or beginning of
an arrow and number "1" cannot appear in the middle or the end of an arrow.

Here some youtube videos explaining it:


SudokuArrow.png
SudokuArrow.png (11.16 KiB) Viewed 112 times
koushanejad74
 
Posts: 52
Joined: 31 July 2019

Re: Sudoku Arrow

Postby 999_Springs » Thu Aug 01, 2019 4:16 pm

this is the same concept as greater than/less than sudoku, where the less than symbols are your arrows pointing from one cell to the next one in the arrow. it's been around for a long time

also i think your puzzle has 3 solutions
Code: Select all
238176594
649...713
751349826
974..1638
586793241
123684957
497.1.362
865432179
312967485
Once upon a time I was a teenager who was active on here 2007-2011
ocean and eleven should have paired up to make a sudoku-solving duo called Ocean's Eleven
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Re: Sudoku Arrow

Postby koushanejad74 » Thu Aug 01, 2019 5:00 pm

Yes, it is the same concept as greater than/less than sudoku, it's just a bit more elegant
And I need to fix my algorithms to have a unique solution
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Posts: 52
Joined: 31 July 2019

Re: Sudoku Arrow

Postby SCLT » Fri Aug 02, 2019 6:29 am

In the world of competitive Sudoku, this variant is known as Thermo Sudoku, or Thermometer Sudoku.

You will find lots of examples by searching for those terms. For example https://www.gmpuzzles.com/blog/category ... mo-sudoku/ for starters.
SCLT
 
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Re: Sudoku Arrow

Postby Wecoc » Fri Aug 02, 2019 5:21 pm

This is a bit confusing because Arrow Sudoku and Thermo Sudoku are well-known variants that often appear in competitions, and what you are defining here is basically a Thermo Sudoku, as SCLT already said.
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