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Inversion Puzzle



The 2019 Stack Overflow Developer Survey Results Are InWhat is the cipher behind this circular cyphertext?A well balanced puzzle: Logic puzzle(s) in visual disguiseLepidopterology needed!Capture The StonesFind the number code in the pictureHow should the hexagon be coloured?The Alien grid of picturesA-maze-ing Navigation4x4 Sliding Puzzle with a twistASCII art troubles












4












$begingroup$


enter image description here



You can describe your inversions however you like. I think an ordered grid from the center (n,m) is easy to understand (doesn't matter where to start due to radial symmetry), or an image










share|improve this question







New contributor




Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Neat puzzle! Is there a reason why the black regions are not uniform? It's not important, but it makes the puzzle slightly harder to solve using an image editor because it breaks floodfilling.
    $endgroup$
    – noedne
    1 hour ago










  • $begingroup$
    Because I drew them in procreate. Thats a good point I'll remember that next time I make something like this
    $endgroup$
    – Artem Lugin
    1 hour ago
















4












$begingroup$


enter image description here



You can describe your inversions however you like. I think an ordered grid from the center (n,m) is easy to understand (doesn't matter where to start due to radial symmetry), or an image










share|improve this question







New contributor




Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$












  • $begingroup$
    Neat puzzle! Is there a reason why the black regions are not uniform? It's not important, but it makes the puzzle slightly harder to solve using an image editor because it breaks floodfilling.
    $endgroup$
    – noedne
    1 hour ago










  • $begingroup$
    Because I drew them in procreate. Thats a good point I'll remember that next time I make something like this
    $endgroup$
    – Artem Lugin
    1 hour ago














4












4








4





$begingroup$


enter image description here



You can describe your inversions however you like. I think an ordered grid from the center (n,m) is easy to understand (doesn't matter where to start due to radial symmetry), or an image










share|improve this question







New contributor




Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




enter image description here



You can describe your inversions however you like. I think an ordered grid from the center (n,m) is easy to understand (doesn't matter where to start due to radial symmetry), or an image







visual






share|improve this question







New contributor




Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question







New contributor




Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question






New contributor




Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 1 hour ago









Artem LuginArtem Lugin

756




756




New contributor




Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Artem Lugin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • $begingroup$
    Neat puzzle! Is there a reason why the black regions are not uniform? It's not important, but it makes the puzzle slightly harder to solve using an image editor because it breaks floodfilling.
    $endgroup$
    – noedne
    1 hour ago










  • $begingroup$
    Because I drew them in procreate. Thats a good point I'll remember that next time I make something like this
    $endgroup$
    – Artem Lugin
    1 hour ago


















  • $begingroup$
    Neat puzzle! Is there a reason why the black regions are not uniform? It's not important, but it makes the puzzle slightly harder to solve using an image editor because it breaks floodfilling.
    $endgroup$
    – noedne
    1 hour ago










  • $begingroup$
    Because I drew them in procreate. Thats a good point I'll remember that next time I make something like this
    $endgroup$
    – Artem Lugin
    1 hour ago
















$begingroup$
Neat puzzle! Is there a reason why the black regions are not uniform? It's not important, but it makes the puzzle slightly harder to solve using an image editor because it breaks floodfilling.
$endgroup$
– noedne
1 hour ago




$begingroup$
Neat puzzle! Is there a reason why the black regions are not uniform? It's not important, but it makes the puzzle slightly harder to solve using an image editor because it breaks floodfilling.
$endgroup$
– noedne
1 hour ago












$begingroup$
Because I drew them in procreate. Thats a good point I'll remember that next time I make something like this
$endgroup$
– Artem Lugin
1 hour ago




$begingroup$
Because I drew them in procreate. Thats a good point I'll remember that next time I make something like this
$endgroup$
– Artem Lugin
1 hour ago










2 Answers
2






active

oldest

votes


















3












$begingroup$

My solution is




2 moves to make the inversions - was very slow to make this horrible graphic!
enter image description here







share|improve this answer











$endgroup$













  • $begingroup$
    Correct! Also works with most circles and sections
    $endgroup$
    – Artem Lugin
    13 mins ago










  • $begingroup$
    I would have drawn it quicker by making a fresh start with an 8 x 4 rectangular grid. I was able to floodfill the white areas with black but somehow not with black areas with white.
    $endgroup$
    – Weather Vane
    11 mins ago










  • $begingroup$
    Black areas are shaded. Will make it easier next time. You can see the shading better here m.imgur.com/Sg5RLNi
    $endgroup$
    – Artem Lugin
    4 mins ago










  • $begingroup$
    My apologies to @PiIsNot3 because I inadvertently copied his final image, mistaking it for the one in the puzzle. Corrected.
    $endgroup$
    – Weather Vane
    2 mins ago



















3












$begingroup$

EDIT: I found an even better




2 inversion solution:


And of course, this is the optimal solution because you obviously can’t get to the end with only one inversion




Original answer: I can do it in




6 inversions




by




inverting a set of 4 non-adjacent big triangles (the ones that go BWBW or WBWB), then inverting the 2 black rings that result from that. (Will update with a visual later)







share|improve this answer











$endgroup$













  • $begingroup$
    Thanks for helping me out @Adam!
    $endgroup$
    – PiIsNot3
    39 mins ago










  • $begingroup$
    Correct! Not sure who got it first but both correct
    $endgroup$
    – Artem Lugin
    11 mins ago












Your Answer





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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









3












$begingroup$

My solution is




2 moves to make the inversions - was very slow to make this horrible graphic!
enter image description here







share|improve this answer











$endgroup$













  • $begingroup$
    Correct! Also works with most circles and sections
    $endgroup$
    – Artem Lugin
    13 mins ago










  • $begingroup$
    I would have drawn it quicker by making a fresh start with an 8 x 4 rectangular grid. I was able to floodfill the white areas with black but somehow not with black areas with white.
    $endgroup$
    – Weather Vane
    11 mins ago










  • $begingroup$
    Black areas are shaded. Will make it easier next time. You can see the shading better here m.imgur.com/Sg5RLNi
    $endgroup$
    – Artem Lugin
    4 mins ago










  • $begingroup$
    My apologies to @PiIsNot3 because I inadvertently copied his final image, mistaking it for the one in the puzzle. Corrected.
    $endgroup$
    – Weather Vane
    2 mins ago
















3












$begingroup$

My solution is




2 moves to make the inversions - was very slow to make this horrible graphic!
enter image description here







share|improve this answer











$endgroup$













  • $begingroup$
    Correct! Also works with most circles and sections
    $endgroup$
    – Artem Lugin
    13 mins ago










  • $begingroup$
    I would have drawn it quicker by making a fresh start with an 8 x 4 rectangular grid. I was able to floodfill the white areas with black but somehow not with black areas with white.
    $endgroup$
    – Weather Vane
    11 mins ago










  • $begingroup$
    Black areas are shaded. Will make it easier next time. You can see the shading better here m.imgur.com/Sg5RLNi
    $endgroup$
    – Artem Lugin
    4 mins ago










  • $begingroup$
    My apologies to @PiIsNot3 because I inadvertently copied his final image, mistaking it for the one in the puzzle. Corrected.
    $endgroup$
    – Weather Vane
    2 mins ago














3












3








3





$begingroup$

My solution is




2 moves to make the inversions - was very slow to make this horrible graphic!
enter image description here







share|improve this answer











$endgroup$



My solution is




2 moves to make the inversions - was very slow to make this horrible graphic!
enter image description here








share|improve this answer














share|improve this answer



share|improve this answer








edited 4 mins ago

























answered 1 hour ago









Weather VaneWeather Vane

2,162112




2,162112












  • $begingroup$
    Correct! Also works with most circles and sections
    $endgroup$
    – Artem Lugin
    13 mins ago










  • $begingroup$
    I would have drawn it quicker by making a fresh start with an 8 x 4 rectangular grid. I was able to floodfill the white areas with black but somehow not with black areas with white.
    $endgroup$
    – Weather Vane
    11 mins ago










  • $begingroup$
    Black areas are shaded. Will make it easier next time. You can see the shading better here m.imgur.com/Sg5RLNi
    $endgroup$
    – Artem Lugin
    4 mins ago










  • $begingroup$
    My apologies to @PiIsNot3 because I inadvertently copied his final image, mistaking it for the one in the puzzle. Corrected.
    $endgroup$
    – Weather Vane
    2 mins ago


















  • $begingroup$
    Correct! Also works with most circles and sections
    $endgroup$
    – Artem Lugin
    13 mins ago










  • $begingroup$
    I would have drawn it quicker by making a fresh start with an 8 x 4 rectangular grid. I was able to floodfill the white areas with black but somehow not with black areas with white.
    $endgroup$
    – Weather Vane
    11 mins ago










  • $begingroup$
    Black areas are shaded. Will make it easier next time. You can see the shading better here m.imgur.com/Sg5RLNi
    $endgroup$
    – Artem Lugin
    4 mins ago










  • $begingroup$
    My apologies to @PiIsNot3 because I inadvertently copied his final image, mistaking it for the one in the puzzle. Corrected.
    $endgroup$
    – Weather Vane
    2 mins ago
















$begingroup$
Correct! Also works with most circles and sections
$endgroup$
– Artem Lugin
13 mins ago




$begingroup$
Correct! Also works with most circles and sections
$endgroup$
– Artem Lugin
13 mins ago












$begingroup$
I would have drawn it quicker by making a fresh start with an 8 x 4 rectangular grid. I was able to floodfill the white areas with black but somehow not with black areas with white.
$endgroup$
– Weather Vane
11 mins ago




$begingroup$
I would have drawn it quicker by making a fresh start with an 8 x 4 rectangular grid. I was able to floodfill the white areas with black but somehow not with black areas with white.
$endgroup$
– Weather Vane
11 mins ago












$begingroup$
Black areas are shaded. Will make it easier next time. You can see the shading better here m.imgur.com/Sg5RLNi
$endgroup$
– Artem Lugin
4 mins ago




$begingroup$
Black areas are shaded. Will make it easier next time. You can see the shading better here m.imgur.com/Sg5RLNi
$endgroup$
– Artem Lugin
4 mins ago












$begingroup$
My apologies to @PiIsNot3 because I inadvertently copied his final image, mistaking it for the one in the puzzle. Corrected.
$endgroup$
– Weather Vane
2 mins ago




$begingroup$
My apologies to @PiIsNot3 because I inadvertently copied his final image, mistaking it for the one in the puzzle. Corrected.
$endgroup$
– Weather Vane
2 mins ago











3












$begingroup$

EDIT: I found an even better




2 inversion solution:


And of course, this is the optimal solution because you obviously can’t get to the end with only one inversion




Original answer: I can do it in




6 inversions




by




inverting a set of 4 non-adjacent big triangles (the ones that go BWBW or WBWB), then inverting the 2 black rings that result from that. (Will update with a visual later)







share|improve this answer











$endgroup$













  • $begingroup$
    Thanks for helping me out @Adam!
    $endgroup$
    – PiIsNot3
    39 mins ago










  • $begingroup$
    Correct! Not sure who got it first but both correct
    $endgroup$
    – Artem Lugin
    11 mins ago
















3












$begingroup$

EDIT: I found an even better




2 inversion solution:


And of course, this is the optimal solution because you obviously can’t get to the end with only one inversion




Original answer: I can do it in




6 inversions




by




inverting a set of 4 non-adjacent big triangles (the ones that go BWBW or WBWB), then inverting the 2 black rings that result from that. (Will update with a visual later)







share|improve this answer











$endgroup$













  • $begingroup$
    Thanks for helping me out @Adam!
    $endgroup$
    – PiIsNot3
    39 mins ago










  • $begingroup$
    Correct! Not sure who got it first but both correct
    $endgroup$
    – Artem Lugin
    11 mins ago














3












3








3





$begingroup$

EDIT: I found an even better




2 inversion solution:


And of course, this is the optimal solution because you obviously can’t get to the end with only one inversion




Original answer: I can do it in




6 inversions




by




inverting a set of 4 non-adjacent big triangles (the ones that go BWBW or WBWB), then inverting the 2 black rings that result from that. (Will update with a visual later)







share|improve this answer











$endgroup$



EDIT: I found an even better




2 inversion solution:


And of course, this is the optimal solution because you obviously can’t get to the end with only one inversion




Original answer: I can do it in




6 inversions




by




inverting a set of 4 non-adjacent big triangles (the ones that go BWBW or WBWB), then inverting the 2 black rings that result from that. (Will update with a visual later)








share|improve this answer














share|improve this answer



share|improve this answer








edited 40 mins ago









Adam

333120




333120










answered 1 hour ago









PiIsNot3PiIsNot3

2,150330




2,150330












  • $begingroup$
    Thanks for helping me out @Adam!
    $endgroup$
    – PiIsNot3
    39 mins ago










  • $begingroup$
    Correct! Not sure who got it first but both correct
    $endgroup$
    – Artem Lugin
    11 mins ago


















  • $begingroup$
    Thanks for helping me out @Adam!
    $endgroup$
    – PiIsNot3
    39 mins ago










  • $begingroup$
    Correct! Not sure who got it first but both correct
    $endgroup$
    – Artem Lugin
    11 mins ago
















$begingroup$
Thanks for helping me out @Adam!
$endgroup$
– PiIsNot3
39 mins ago




$begingroup$
Thanks for helping me out @Adam!
$endgroup$
– PiIsNot3
39 mins ago












$begingroup$
Correct! Not sure who got it first but both correct
$endgroup$
– Artem Lugin
11 mins ago




$begingroup$
Correct! Not sure who got it first but both correct
$endgroup$
– Artem Lugin
11 mins ago










Artem Lugin is a new contributor. Be nice, and check out our Code of Conduct.










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Artem Lugin is a new contributor. Be nice, and check out our Code of Conduct.













Artem Lugin is a new contributor. Be nice, and check out our Code of Conduct.












Artem Lugin is a new contributor. Be nice, and check out our Code of Conduct.
















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