Inversion Puzzle












8












$begingroup$


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.







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  • $begingroup$
    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
    2 days 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
    2 days ago
















8












$begingroup$


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
    2 days 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
    2 days ago














8












8








8





$begingroup$


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 2 days ago









Artem LuginArtem Lugin

3409




3409




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
    2 days 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
    2 days 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
    2 days 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
    2 days 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
2 days 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
2 days 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
2 days 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
2 days ago










2 Answers
2






active

oldest

votes


















6












$begingroup$

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
    2 days 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
    2 days 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
    2 days 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 days ago



















4












$begingroup$

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











$endgroup$













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










  • $begingroup$
    @ArtemLugin this was first with the 6 solution, I was working on the graphic for my 2 solution when PilsNot3 announced he had found a 2 solution. However I didn't post anything until mine was ready.
    $endgroup$
    – Weather Vane
    yesterday












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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









6












$begingroup$

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
    2 days 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
    2 days 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
    2 days 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 days ago
















6












$begingroup$

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
    2 days 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
    2 days 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
    2 days 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 days ago














6












6








6





$begingroup$

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 2 days ago

























answered 2 days ago









Weather VaneWeather Vane

2,252112




2,252112












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


















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
















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




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











4












$begingroup$

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











$endgroup$













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










  • $begingroup$
    @ArtemLugin this was first with the 6 solution, I was working on the graphic for my 2 solution when PilsNot3 announced he had found a 2 solution. However I didn't post anything until mine was ready.
    $endgroup$
    – Weather Vane
    yesterday
















4












$begingroup$

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











$endgroup$













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










  • $begingroup$
    @ArtemLugin this was first with the 6 solution, I was working on the graphic for my 2 solution when PilsNot3 announced he had found a 2 solution. However I didn't post anything until mine was ready.
    $endgroup$
    – Weather Vane
    yesterday














4












4








4





$begingroup$

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 2 days ago









Adam

335120




335120










answered 2 days ago









PiIsNot3PiIsNot3

2,347433




2,347433












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










  • $begingroup$
    @ArtemLugin this was first with the 6 solution, I was working on the graphic for my 2 solution when PilsNot3 announced he had found a 2 solution. However I didn't post anything until mine was ready.
    $endgroup$
    – Weather Vane
    yesterday


















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










  • $begingroup$
    @ArtemLugin this was first with the 6 solution, I was working on the graphic for my 2 solution when PilsNot3 announced he had found a 2 solution. However I didn't post anything until mine was ready.
    $endgroup$
    – Weather Vane
    yesterday
















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




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












$begingroup$
@ArtemLugin this was first with the 6 solution, I was working on the graphic for my 2 solution when PilsNot3 announced he had found a 2 solution. However I didn't post anything until mine was ready.
$endgroup$
– Weather Vane
yesterday




$begingroup$
@ArtemLugin this was first with the 6 solution, I was working on the graphic for my 2 solution when PilsNot3 announced he had found a 2 solution. However I didn't post anything until mine was ready.
$endgroup$
– Weather Vane
yesterday










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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