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






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.







$endgroup$












  • $begingroup$
    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
    yesterday










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
















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






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.







$endgroup$












  • $begingroup$
    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
    yesterday










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














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






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.







$endgroup$




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




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 yesterday









Artem LuginArtem Lugin

1758




1758




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
    yesterday










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


















  • $begingroup$
    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
    yesterday










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
















$begingroup$
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
yesterday




$begingroup$
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
yesterday












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




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










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
    yesterday










  • $begingroup$
    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
    yesterday










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










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












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
    yesterday










  • $begingroup$
    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
    yesterday










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










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
















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
    yesterday










  • $begingroup$
    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
    yesterday










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










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














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 yesterday

























answered yesterday









Weather VaneWeather Vane

2,212112




2,212112












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










  • $begingroup$
    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
    yesterday










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










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


















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










  • $begingroup$
    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
    yesterday










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










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
















$begingroup$
Correct! Also works with most circles and sections
$endgroup$
– Artem Lugin
yesterday




$begingroup$
Correct! Also works with most circles and sections
$endgroup$
– Artem Lugin
yesterday












$begingroup$
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
yesterday




$begingroup$
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
yesterday












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




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












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




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














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 yesterday









Adam

333120




333120










answered yesterday









PiIsNot3PiIsNot3

2,272332




2,272332












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


















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
















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




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










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

Floris Gerts

Image
Floris Gerts Persoonlijke informatie Geboortedatum 3 mei 1992 Geboorteplaats Maastricht, Nederland Lengte 182 cm Sportieve informatie Huidige ploeg Tarteletto-Isorex Discipline(s) Weg Ploegen 2014 2015 2016–2017 2018–2019 2019- Rabobank DT →BMC (stagiair) BMC Roompot-Nederlandse Loterij Tarteletto-Isorex Portaal:   Wielersport Floris Gerts (Maastricht, 3 mei 1992) is een Nederlands wielrenner die anno 2019 rijdt voor Tarteletto-Isorex. Eerder kwam hij uit voor BMC, dat hem na een stage overnam van haar opleidingsploeg. Na het seizoen 2017 werd zijn contract bij BMC niet verlengd. Lange tijd zag het er naar uit dat hij voor 2018 geen ploeg zou vinden. Echter, op 11 januari raakte bekend dat Gerts een éénjarig contract tekende bij Roompot-Nederlandse Loterij. [1] In het seizoen 2019 komt de renner uit voor de continentale ploeg Tarteletto-Isorex. [2] Inhoud 1 Palmares 1.1 Overwinningen 1.2 Resultate...
Read more

Gregoriusmis

Image
Een afbeelding van de Gregoriusmis uit een getijdenboek gemaakt in de zuidelijke Nederlanden tussen 1500 en 1525 Gregoriusmis, Meester van het Akense Altaar, ca. 1500-1525. Collectie Museum Catharijneconvent De Gregoriusmis of de Mis van Sint Gregorius is een motief in katholieke kunst, dat het eerst verscheen in de late Middeleeuwen en dat nog steeds werd gebruikt tijdens de contrareformatie. Paus Gregorius I (ca. 540-604) is afgebeeld, de H. Mis opdragend, terwijl Christus als de Man van Smarten verschijnt op het altaar dat voor Sint Gregorius staat. Volgens de legende had St. Gregorius gebeden om een teken voor een betwijfelaar van de transsubstantiatieleer, waarop de lijdende Christus tijdens het opdragen van de Mis verscheen om hem te overtuigen en waarbij zijn bloed in de altaarkelk liep. Vaak zijn ook de passiewerktuigen afgebeeld. Zie de categorie Mass of Saint Gregory van Wikimedia Commons voor mediabestanden over dit onderwerp. This page is onl...
Read more

Goes

Image
Zie Goes (doorverwijspagina) voor andere betekenissen van Goes. Goes Plaats in Nederland (Details) (Details) Situering Provincie Zeeland Gemeente Goes Coördinaten 51° 30′ NB, 3° 53′ OL Algemeen Inwoners (01-01-2018) 37.636 [1] Overig Netnummer 0113 Belangrijke verkeersaders A58, N254, N256, N289, NS Zeeuwse Lijn Website www.goes.nl Portaal     Nederland Stadshaven van Goes Het stadhuis Grote of Maria Magdalenakerk De watertoren Westerkerk De Koornbloem De televisietoren Getijwaterkorenmolen 't Soepuus Trapgevels in Goes Stadsgracht ("de Veste") Kijk op de Nieuwstraat vanaf de Beestenmarkt Cultuurhuis in Amsterdamse Schoolstijl Voormalige RK ULO Goes (   uitspraak   (info / uitleg) ) (Zeeuws: Hoes ) is een stad op het schiereiland Zuid-Beveland, centraal gelegen in de Nederlandse provincie Zeeland. De s...
Read more