there's another way to know the unsolvability of the french variant by coloring with 3 colors (or, for the purpose of this comment, with numbers 1,2,3) in this way: ...123123... ...231231... ...312312... ...123123... every movement preserves the parity difference between the three numbers, so if two colors in a figure have the same parity, they will remain having the same parity under every movement (same with different parity) this is enough to prove the unsolvability of the french variant. The method of the video seems more general than the other, so I wonder if there's a figure that passes the 3-coloring test but doesn't pass the 2-coloring test.
and if the 2-coloring method is powerful, there's a refinement of the 3 coloring method by doing this coloring instead of the other: ...123123... ...312312... ...231231... ...123123... any solvable figure should pass both colorings, refining the 3 coloring method as there are figures that pass one of the ways of coloring with 3 colors but doesn't pass the other way. I wonder if even this method is less powerful than the 2-coloring.
haha - the continuity is a certainly all over the place. The car park where I filmed playing solitaire is in Sweden. I was in Germany, and took advantage of some spare time to capture some footage. Plus the biscuit select in Swedish supermarkets leaves a lot to be desired...
Hope to see more videos in the future!
Amazing
Amazing and funny! Wondering what your subscribers do not watching this! You've got one more, anyway.
Thank you so much! There will be more when I have time!
Wow, great Video!! :D
Thanks!
there's another way to know the unsolvability of the french variant by coloring with 3 colors (or, for the purpose of this comment, with numbers 1,2,3) in this way:
...123123...
...231231...
...312312...
...123123...
every movement preserves the parity difference between the three numbers, so if two colors in a figure have the same parity, they will remain having the same parity under every movement (same with different parity)
this is enough to prove the unsolvability of the french variant. The method of the video seems more general than the other, so I wonder if there's a figure that passes the 3-coloring test but doesn't pass the 2-coloring test.
and if the 2-coloring method is powerful, there's a refinement of the 3 coloring method by doing this coloring instead of the other:
...123123...
...312312...
...231231...
...123123...
any solvable figure should pass both colorings, refining the 3 coloring method as there are figures that pass one of the ways of coloring with 3 colors but doesn't pass the other way.
I wonder if even this method is less powerful than the 2-coloring.
I'm a bit confused. Why are you shooting in Germany? :D
haha - the continuity is a certainly all over the place. The car park where I filmed playing solitaire is in Sweden. I was in Germany, and took advantage of some spare time to capture some footage. Plus the biscuit select in Swedish supermarkets leaves a lot to be desired...