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.







$endgroup$












  • $begingroup$
    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












$begingroup$


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












Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "559"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});






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










draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f81584%2finversion-puzzle%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























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.










draft saved

draft discarded


















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.
















Thanks for contributing an answer to Puzzling Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f81584%2finversion-puzzle%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

GameSpot

connect to host localhost port 22: Connection refused

Getting a Wifi WPA2 wifi connection