I seen a map like that (globe, more precisely). Pakistan and China and Russia and Estonia and Lithuania and Ukraine were all colored yellow. It was the most cursed coloring ever.
love the fact that he looked up a formal proof, saw that it was a formal proof and elected to ignore it, 10/10 video, good luck in your lifes mission, Im sure it will break and/or fix maths
That is why in the fantasy book I'm writing, among other reasons, the main planet is a torus. Hubworld, or The Hub, or something like that I'm still working on the name. Created by a wizard that was fed up with the xenophobia between the peoples of the 5 realms, they wanted to make a realm for every species to live together and as a centralized hub to connect all the realms together, and got annoyed by a detractor that called their initial designs stupid and mentioned the four color theorem in his criticisms. This started a trend with powerful magic users creating their own realms, and the number of realms quickly increased from 5 to dozens of large open realms and many hundreds of smaller personal realms.
@@kianthornton2856 A torus can be thought of as a normal plane, but the left and right edges and top and bottom edges connect. That gives more room for regions to connect, which increases the number of colors you can force a map to have
If you give a country an exclave between two or three countries, you will need a 5th color. The 4 color theorum only stands to countries with consistent bobrders (no exclaves or enclaves)
@@vintage-radio If I understand your idea right, then you can color the square with only 2 colors, and use a 3rd color for the circle, you don't even need 4 let alone 5 RED | BLUE ------------------- BLUE | RED
You don't have to follow the rule. The fact is that you *can* colour every map in at most 4 colours *IF* the regions aren't disjoint. It's called "Four colour theorem". You can, however, use more than 4 colours if you wish. Or you may *have to* use than 4 colours if there are disjoint regions (which they can be irl). There's no """four colour rule""". Edit: I watched some more of the video, and uh... yeah. I already told you how to make it need at least 5 colours.
You could color a map in with as many colors as you want, but the point is that you don’t need to use more than four to make every country that touches a different color. He’s trying to find a map that can’t be colored in like that with just four colors
@@L_Aster there's a difference between a rule and a theorem. "A scientific principle and a rule are, as far as I can tell, the same thing as a law. A mathematical theorem is a statement that has been proven on the basis of previously established statements, such as other theorems-and generally accepted statements, such as axioms." -google when you look up "What is the difference between a theorem and a rule?"
my guy oats jenkins five-color theorem was the ORIGINAL theorem for years until some random guys starting in the 1880s and proven by computers in the 1960s proved the four-color theorem so no, you are not the maker of this theorem, sorry
I personally find the 4 colour theorem super easy to prove geometrically in 3 steps. 3 colours around a 4th is the most you can do before coloured regions start becoming independent. You can't join two unconnected regions to make them dependent without splitting two other regions to make them independent. Independence means they can be the same colour. Simples🎉
That's the general rationale, but it doesn't prove it. Two regions being disconnected doesn't mean they can't influence each other, and showing that they don't influence each other enough is what took the proof so long.
@@GammaFn. yeah, I realised after thinking some more that I was thinking about concentric circles spilt into sections, and things can be more complicated than that.
"people can't prove that it's right. the only way to prove that it's right is to make every single conceivable map ever. you can't do that, nobody can do that" funfact: people did infact do that, using computers. thats one of the reasons why this proof is so popular, and was questioned when it first came out. nowadays however we have accepted computer based brute forcing as a valid method of proof.
So, there are a number of interesting ways that you can do this, although they are all accounted for by the theorem and specifically excluded. 1) The most obvious example is to just make a 5-slice pie. If we consider the corners to be touching, then we need five colors, although the theorem explicitly does not count corner connections. 2) If your map is allowed to be a fractal, then this is possible. I couldn't find an actual example, but the Newton-Raphson fractal seems like a good place to start. Though technically, if you zoom in on this fractal, the shapes _only_ ever touch at corners, so by the standard rules of the map theorem, you could just color the whole thing one color, since corners don't count. 3) The four color map theorem also doesn't work if you draw the map on a donut. On a normal one-hole donut, the number of colors increases to 7, and then adding more holes slowly increases the number of colors required from there. 4) For an example that might actually matter for real-life maps, the four color map theorem does not work if countries are allowed to have separated sections that are part of the same country, but not touching the rest of the country, and that we require the whole country to be one color. So, this is like how Alaska is part of the US, dispite not actually touching the rest of the US. If you have some countries like this, then you could need more than four colors for your map.
But technically, a circle with pizza slices like you drew would immediately prove it wrong, because these lines are borders which can be thought of as extremely thin. Therefore, the corners are all touching and there are as many colors needed as there are slices.
It has to have a shared boundary in order to be considered adjacent- in other words, touching corners don't count. So with a pizza like shape, you could just color it with two alternate colors- three if it has an odd number of slices.
Hm, other idea. What do we do with countries that have multiple spaces. Do they have to be colored the same color? Cause with that rule, we could easily trick, right? (For example USA and Alaska have to be the same color or something like that)
@@kaiiimee The theorem specifies that it must be a plane divided into contiguous regions, so it's not quite the type of map you would expect. The word you're looking for is an exclave, which would require an unlimited number of colors for any possible map.
I watched this video and then spent 2 hours trying do disprove it and then I found a solution but my brother kept trying to tell me the theorem wasn’t real and it made me so mad I threw away the paper and forgot how to do it
technically they don’t have to be the same color, so no it stays true. But if you wanna be pretentious with it according to the wiki you need at most 7 colors.
@@ThePenguinMan most maps that respect themselves will put the same country in the same color. It will be quite confusing if Vancouver will be a different color from the rest of Canada, or Hokkaido will be a different color from Honshu
tried it myself, so I tried connecting 5 dots where all dots touch the other dots and no lines intersect, but that doesn't seem possible since there will seemingly always be something stuck inside that can't reach the outside
At 7:00, look at the hexagon. If you extend the area of the right purple sligjtly so it touches the other purple, does that not require one purple to become a 5th color? You would also need to push back the purple a bit to make the blue touch the red and same at the top for the blue to touch the red, but otherwise, what stops it? Edit: i juat realized, to make the blue touch the yellow, you either need to disconnect the purples or cut off a purple from the red, F to my idea.
GUYS I THINK I DID IT So you have two circles; On the inner circle, the territories swirl to come to a point where they all touch. BUT on the outside circle, it’s just one color, and since it touches all four of the swirly territories that all touch each other it HAS to be a new color!!
You need to make a rose-like shape. You start with a circle and layer it like a rose but makes sure that the next layer is connecting to enough of the previous layers
You're correct Mr. Oats are correct that there needs to be more colors for a map because countries will never be contiguous shapes. There will always be random islands owned by previous colonial powers and great powers leaving nations with plenty of enclaves like the USSR. There is also border disputes so there can be no official map of the world that includes country borders.
You could technically have one country that is split into separate, isolated chunks (i.e. The Usa and Alaska). This will force those two areas to share a color and limit color options for surrounding countries.
I know that your channel is mostly about silliness. However, my math brain must teach a thing. A mathematical theorem is something that has been PROVEN. It is TRUE (or possibly FALSE), given the starting conditions, the "axioms". There is no arguing against a theorem. There is no trying to find a counter example. The proof demonstrates that the theorem is an inevitable consequence of the axioms that you started with. The only thing there is to do with a theorem is try to extend it to new sets of axioms, or show that it DOESN'T extend to them. For instance! The Four Color Theorem doesn't hold if you allow for discontinuous regions; places that are separated but MUST be the same color (which is something that happens ALL THE TIME in the real world). It also doesn't hold if you allow for your map to curve into 3D; for example, a map made on a torus CAN be made that requires more than 4 colors (though any map on a torus can be colored with 7 colors). If you want to "disprove" things then you should focus on "conjectures". That's the term in mathematics that means, "we're pretty sure that this thing is true but nobody has figured out how to prove it, yet". Yes, I know that my pedantic response to your silly video is ridiculous. I figure that ridiculous is fine on a ridiculous video. also, color maps however you want. The four color theorem says that you never NEED more than four colors, not that you can never use more.
This is pointless. unless... Fellas! I got the answer. Just BE colourblind. I got that answer because I'm colourblind myself and watching this video is making my brian hurt
This video will be the catalyst for future generations of dedicated researchers on this matter. And we WILL disprove the 4 color rule. I WAS HERE, I BELIEVED; AND SO SHOULD YOU.
I honestly believe that the only way to "Prove" the 5 color theorem, is to have a map with borders that are so thin and "undefined", that you cannot possibly have 2 colors be diagonal without it almost seeming like they may be the same area.
maps dont have to make sense what if a country (A) has some territory inside another country (B) that isn't even touching the (A) country? they'll have to be the same color right? i don't want a headache so I wont try anything
Bro I was trying for so long to prove this hypothesis about this game that if you skip the cutscene for an animation it will show the most amazing thing first but kept getting proven wrong so don’t try doing this for eternity, it’s not worth your life getting wasted on something
Circle in the middle like this O- and then keep layering it so there’s another circle like that -(O-) but the lines go though all layers I did make a drawing and tested it multiple times and it works
"It has to be on a plane" just build a the word "plane" and build the 3d map on top of it. BOOM beat the system, i do courses they are 33 bucks a week...
its very simple to bypass really. picture a circle with 4 lines that connect up to a circle inside the circle now you have 5 things you need to colour in you can colour the 4 sections but the centre colour is the big problem because no matter which 4 you choose it will collide with a colour already there. it doesnt even need to be a circle just so long as its a shape with 4 outer palettes and 1 inner palette.
Nah. In your example, you don't need to use 4 different colors for the 4 outer areas. 2 Colors in an alternating pattern are enough; followed by a third color for the middle.
But the other countries also have to all be snakes that touch all of the other countries, which is impossible. You can't make 5 shapes where each of the 5 shapes touches the other 4 shapes.
This guy trying to break the second most famous theorem in the entirety of mathematics, and I love it.
Just create math 2. It can't be that hard. He made a new alphabet, and the romans used letters. Just make all the numbers out of egypt bird and monke
Me, checking if this is an April fool's video...
…it isn't.
me: "man this guy's dumb"
"second most famous math theorem"
2+2 left the chat
@@RuleofThehyperbolic “second”
If five countries meet at the same point then you need five colours
the same color can share a corner
I have an idea: Simply don’t. Make the colors touch, be the true rebel that you are
exclaves work
I seen a map like that (globe, more precisely). Pakistan and China and Russia and Estonia and Lithuania and Ukraine were all colored yellow. It was the most cursed coloring ever.
@@Penguin4096-si9fz Please, I beg of you, just use commas for lists. It hurts.
Fix colors plz
Colours
love the fact that he looked up a formal proof, saw that it was a formal proof and elected to ignore it, 10/10 video, good luck in your lifes mission, Im sure it will break and/or fix maths
imo, all formal proofs should have informal proofs as summaries so that more people can understand it
@@9nikola that's what the "An Elegant Proof?" article is, informal just means it explains in English and not using formal logic.
I did it!
Well I proved it wrong using ms paint I made five circles and made it so every circle was touching every other circle and it worked
Theres formal proof that disproves the four color theorem
The 4 colors theorem will never stop bothering me to death
Same, the only reason I know why is that it's a constraint
You can disprove it easily, just make sure the ocean HAS to be blue. It doesn't matter if the ocean is on opposite corners, it has to be blue.
@@xXJ4FARGAMERXx that actually still doesn't work
@@xXJ4FARGAMERXx All of the oceans will be the same area, no borders between oceans.
so it will never be disporvin
The 4 color theorem only applies to maps on a plane or sphere. If you draw the map on a torus (doughnut shape), you need seven colors.
That is why in the fantasy book I'm writing, among other reasons, the main planet is a torus. Hubworld, or The Hub, or something like that I'm still working on the name.
Created by a wizard that was fed up with the xenophobia between the peoples of the 5 realms, they wanted to make a realm for every species to live together and as a centralized hub to connect all the realms together, and got annoyed by a detractor that called their initial designs stupid and mentioned the four color theorem in his criticisms. This started a trend with powerful magic users creating their own realms, and the number of realms quickly increased from 5 to dozens of large open realms and many hundreds of smaller personal realms.
I don't understand how. Could you explain that more?
@@kianthornton2856 I can't, but Wikipedia mentions this in their article on the four-color theorem.
@@kianthornton2856 A torus can be thought of as a normal plane, but the left and right edges and top and bottom edges connect. That gives more room for regions to connect, which increases the number of colors you can force a map to have
If this man actually broke this theorem during a Twitch stream would be funny as hell
Well I did in about ten minutes
@@blockmanhatecommentguy6280The mathematics community would be very interested in seeing your work.
@@blockmanhatecommentguy6280 show the map
@@blockmanhatecommentguy6280
I doubt that, considering you would be world-famous if you did.
@@blockmanhatecommentguy6280 I had an idea too can u place ur image somewhere (just in case u r wrong so we can double check :). )
If you give a country an exclave between two or three countries, you will need a 5th color. The 4 color theorum only stands to countries with consistent bobrders (no exclaves or enclaves)
Wouldn’t the exclave be the same color as the original country since it wouldn’t be touching it
@@al_rusty420 Yes, which is why you need a 5th color
@@al_rusty420 yep
What are exclaves and enclaves?
@@mozipuggamer Imagine an island that's owned by a country, but it's completely surrounded by another country.
As a math teacher, watching this man attempt the impossible so confidently is sending me.
idk much about this but cant you just make a circle with a square inside of it thats split into 4 quadrants, then you'll need 5 colors
@@vintage-radio If I understand your idea right, then you can color the square with only 2 colors, and use a 3rd color for the circle, you don't even need 4 let alone 5
RED | BLUE
-------------------
BLUE | RED
@@vnXun oh right
*Exclaves have entered the chat*
Actually, you can use the exclaves more times, so a “five colour theorem” can’t exist.
The only thing the 4 color theorem fails in is exclaves(originally i said enclavs, but it was an autocorrect), then you need to use another color.
you can use 2 colors no matter how many there are
the 4 color theory still always works in enclaves as long as all regions are continuous
3d map is on a plane x plane y plane and z plane
@@eduardoxenofonte4004 exclaves make a country not continuous...
@@theshadowking3198 and?
if you allow discontiguous regions (real maps do this for things like the US+Alaska) then the minimum number of colors is unbounded.
But then you're not following the theorem anymore...
i'm pretty sure that it actually fails for the example of earth itself for this reason
Hmm, I wondered if anything about non-Euclidean geometry could get past this, but apparently in graph theory it just doesnt matter.
Because you can stretch it back.
i mean may not be related but on a donut you need 7
My favourite part is when he talks about maps
Same
Timestamp?
The way he so casually just tried to disprove a mathematical theorem on stream is amazing to watch. Appreciate your creativity!
You don't have to follow the rule. The fact is that you *can* colour every map in at most 4 colours *IF* the regions aren't disjoint. It's called "Four colour theorem". You can, however, use more than 4 colours if you wish. Or you may *have to* use than 4 colours if there are disjoint regions (which they can be irl). There's no """four colour rule""".
Edit: I watched some more of the video, and uh... yeah. I already told you how to make it need at least 5 colours.
You could color a map in with as many colors as you want, but the point is that you don’t need to use more than four to make every country that touches a different color. He’s trying to find a map that can’t be colored in like that with just four colors
@@L_Aster Yeah, but my point is that he calls it a "rule", which is misleading.
@@floppy8568 it’s a mathematical rule
@@L_Aster there's a difference between a rule and a theorem.
"A scientific principle and a rule are, as far as I can tell, the same thing as a law. A mathematical theorem is a statement that has been proven on the basis of previously established statements, such as other theorems-and generally accepted statements, such as axioms." -google when you look up "What is the difference between a theorem and a rule?"
Make a map to the subscribe button
Yeah
I found a way 🎉
you did not casually disprove a hotly debated math problem.
@@complex_cityyeah bro I need proof
I believe him
my guy oats jenkins five-color theorem was the ORIGINAL theorem for years until some random guys starting in the 1880s and proven by computers in the 1960s proved the four-color theorem so no, you are not the maker of this theorem, sorry
I’m living for him trying to disprove random things
I personally find the 4 colour theorem super easy to prove geometrically in 3 steps. 3 colours around a 4th is the most you can do before coloured regions start becoming independent. You can't join two unconnected regions to make them dependent without splitting two other regions to make them independent. Independence means they can be the same colour. Simples🎉
That's the general rationale, but it doesn't prove it. Two regions being disconnected doesn't mean they can't influence each other, and showing that they don't influence each other enough is what took the proof so long.
@@GammaFn. yeah, I realised after thinking some more that I was thinking about concentric circles spilt into sections, and things can be more complicated than that.
I think that guy was telling you to make a hexagonal map rather than just a section. But if he wasn’t, then I’ll suggest that…
"people can't prove that it's right. the only way to prove that it's right is to make every single conceivable map ever. you can't do that, nobody can do that"
funfact: people did infact do that, using computers. thats one of the reasons why this proof is so popular, and was questioned when it first came out. nowadays however we have accepted computer based brute forcing as a valid method of proof.
So, there are a number of interesting ways that you can do this, although they are all accounted for by the theorem and specifically excluded.
1) The most obvious example is to just make a 5-slice pie. If we consider the corners to be touching, then we need five colors, although the theorem explicitly does not count corner connections.
2) If your map is allowed to be a fractal, then this is possible. I couldn't find an actual example, but the Newton-Raphson fractal seems like a good place to start. Though technically, if you zoom in on this fractal, the shapes _only_ ever touch at corners, so by the standard rules of the map theorem, you could just color the whole thing one color, since corners don't count.
3) The four color map theorem also doesn't work if you draw the map on a donut. On a normal one-hole donut, the number of colors increases to 7, and then adding more holes slowly increases the number of colors required from there.
4) For an example that might actually matter for real-life maps, the four color map theorem does not work if countries are allowed to have separated sections that are part of the same country, but not touching the rest of the country, and that we require the whole country to be one color. So, this is like how Alaska is part of the US, dispite not actually touching the rest of the US. If you have some countries like this, then you could need more than four colors for your map.
imagine if he disproves it, then he'll get the nobel prize
Oats Rule 🔥 >>>> Original Rule 🤢
Oats will solve the mystery we’ve all been waiting to be solved! Disproving a theorem 😎
What we need is a map with 5 shapes that all touch every other shape on the map
That's the neat thing. You can't.
@@tokatstorm9270 are you sure about that?
@@Gamecube17 Well, not a flat one at least. Donuts, I believe, could solve this problem, as they can for most problems.
@@tokatstorm9270 I made it on a flat one.
q u a d r I c e.
i just cant figure out how to send the link.
@@Gamecube17 That's a shame. It'd be pretty sick. What's a quadrice?
But technically, a circle with pizza slices like you drew would immediately prove it wrong, because these lines are borders which can be thought of as extremely thin. Therefore, the corners are all touching and there are as many colors needed as there are slices.
It has to have a shared boundary in order to be considered adjacent- in other words, touching corners don't count. So with a pizza like shape, you could just color it with two alternate colors- three if it has an odd number of slices.
@@TraitorousHomeworlder that is sad. And sounds like a stupid rule qwq (nothing against you!!! against the rule)
Hm, other idea. What do we do with countries that have multiple spaces. Do they have to be colored the same color? Cause with that rule, we could easily trick, right? (For example USA and Alaska have to be the same color or something like that)
@@kaiiimee The theorem specifies that it must be a plane divided into contiguous regions, so it's not quite the type of map you would expect. The word you're looking for is an exclave, which would require an unlimited number of colors for any possible map.
Oat: tries to disprove the four colour theorem
Me: *laughs in geographical mathematics*
I watched this video and then spent 2 hours trying do disprove it and then I found a solution but my brother kept trying to tell me the theorem wasn’t real and it made me so mad I threw away the paper and forgot how to do it
There already is kind of a solution. With a world map, the 4 color theorem doesn't work because of exclaves.
only because they need to be the same color as the country they belong to
@@jankkhvej434 exactly
technically they don’t have to be the same color, so no it stays true. But if you wanna be pretentious with it according to the wiki you need at most 7 colors.
@@ThePenguinMan most maps that respect themselves will put the same country in the same color. It will be quite confusing if Vancouver will be a different color from the rest of Canada, or Hokkaido will be a different color from Honshu
@@pigi1004 so ig the rule is more an abstract geometrical theorem and the map thing is kind of an analogy
tried it myself, so I tried connecting 5 dots where all dots touch the other dots and no lines intersect, but that doesn't seem possible since there will seemingly always be something stuck inside that can't reach the outside
Actually, you only need 2 colors. All you need to do is throw out the boarders drawn up by rich people and grid the earth in a checkerboard.
Make a video revamping checkers please, I rewatched your chess 2 video a while back and think checkers deserves to also be revamped
It has been proven with math, not just people trying.
At 7:00, look at the hexagon.
If you extend the area of the right purple sligjtly so it touches the other purple, does that not require one purple to become a 5th color?
You would also need to push back the purple a bit to make the blue touch the red and same at the top for the blue to touch the red, but otherwise, what stops it?
Edit: i juat realized, to make the blue touch the yellow, you either need to disconnect the purples or cut off a purple from the red, F to my idea.
On the first one you could swap the middle circle color
GUYS I THINK I DID IT
So you have two circles;
On the inner circle, the territories swirl to come to a point where they all touch.
BUT on the outside circle, it’s just one color, and since it touches all four of the swirly territories that all touch each other it HAS to be a new color!!
You need to make a rose-like shape. You start with a circle and layer it like a rose but makes sure that the next layer is connecting to enough of the previous layers
it is impossible to make 5 shapes all in contact with each other
@@jaspervandijk1328 it would need some weird borders
@@Geckoreo no, it is just impossible
Exclaves and enclaves: *I AM 4 PARALLEL UNIVERSES AHEAD OF YOU*
Cough cough exclaves ma man
You're correct Mr. Oats are correct that there needs to be more colors for a map because countries will never be contiguous shapes. There will always be random islands owned by previous colonial powers and great powers leaving nations with plenty of enclaves like the USSR. There is also border disputes so there can be no official map of the world that includes country borders.
4:28 literally how we just proved the 4 colour problem 😂
You could technically have one country that is split into separate, isolated chunks (i.e. The Usa and Alaska). This will force those two areas to share a color and limit color options for surrounding countries.
my guy. they literally used a computer to check every map
Well, that's a computer who did it so thats cheating.
Humans need to prove it themselves to show us how they cool are
@@viggosevenhant5595so you want a human to go through and do exactly what the computer already did, checking each of the over 1,000 cases?
I know that your channel is mostly about silliness. However, my math brain must teach a thing. A mathematical theorem is something that has been PROVEN. It is TRUE (or possibly FALSE), given the starting conditions, the "axioms". There is no arguing against a theorem. There is no trying to find a counter example. The proof demonstrates that the theorem is an inevitable consequence of the axioms that you started with.
The only thing there is to do with a theorem is try to extend it to new sets of axioms, or show that it DOESN'T extend to them. For instance! The Four Color Theorem doesn't hold if you allow for discontinuous regions; places that are separated but MUST be the same color (which is something that happens ALL THE TIME in the real world). It also doesn't hold if you allow for your map to curve into 3D; for example, a map made on a torus CAN be made that requires more than 4 colors (though any map on a torus can be colored with 7 colors).
If you want to "disprove" things then you should focus on "conjectures". That's the term in mathematics that means, "we're pretty sure that this thing is true but nobody has figured out how to prove it, yet".
Yes, I know that my pedantic response to your silly video is ridiculous. I figure that ridiculous is fine on a ridiculous video.
also, color maps however you want. The four color theorem says that you never NEED more than four colors, not that you can never use more.
Fun fact: the proof for the 4 colour theorem was the first proof that was partially developed with the use of a computer
I like how he says "I am not going to read all that" when he finds formal real proof. He is just ignorant and determined.
Colour* 4:04
Nope, In the U.S. its color, in Britain it’s colour, and since chatGPT is trained with mostly American sources, color would be the correct spelling.
Flip you brit
This is pointless.
unless... Fellas! I got the answer.
Just BE colourblind.
I got that answer because I'm colourblind myself and watching this video is making my brian hurt
This video will be the catalyst for future generations of dedicated researchers on this matter. And we WILL disprove the 4 color rule.
I WAS HERE, I BELIEVED; AND SO SHOULD YOU.
I just did, check my channel
well just use a fuckton of exclaves
like the state of Michigan (cant think of any other exclaves)
They did make every single map though. That's how they proved it. By creating every possible map and testing them
I honestly believe that the only way to "Prove" the 5 color theorem, is to have a map with borders that are so thin and "undefined", that you cannot possibly have 2 colors be diagonal without it almost seeming like they may be the same area.
Actually the definition of touching is the real problem because if diagonals can touch then 4 map color theorem would be disproved
The 4 colors instantly disproved by only using 3 who said you need 5
can be colored with 4 colors, not must.
maps dont have to make sense
what if a country (A) has some territory inside another country (B) that isn't even touching the (A) country? they'll have to be the same color right? i don't want a headache so I wont try anything
Actally it's pretty simple:
Create 5 Shapes where each one touches every other one so the fifth needs to be a seperate color
BOOM
It's impossible to do that
great idea, if you can show me a shape that does this ill give you a million dollars
woah, now show me how to do that
Just make a circle with 5 equal peices. Technicaly they would all touch eachother. Kinda like a pie chart.
Bro I was trying for so long to prove this hypothesis about this game that if you skip the cutscene for an animation it will show the most amazing thing first but kept getting proven wrong so don’t try doing this for eternity, it’s not worth your life getting wasted on something
this whole theorem goes into fire when you show them exclaves (landmasses separated from the main landmass)
Circle in the middle like this O- and then keep layering it so there’s another circle like that -(O-) but the lines go though all layers I did make a drawing and tested it multiple times and it works
Ahem. The theorem is stated to apply to only 2d maps. A donut requires 7 colors instead of 4. A cube needs 6.
i came up with a map that i’m pretty sure needs five colors. i tried the discord link but it was expired so i friend requested you
I think u can disprove it by making an exclave like how russia has kalininkrad but that assumes that the exclave and mainland are the same colour
I HAVE BEEN TRYING TO PREACH THIS FOREVER, BUT EXCLAVES AND ENCLAVES!!!!!!!!!!
When Oat pulls out Minecraft, you know it’s series.
"Unless someone like you cares a whole awful lot, it's never going to get better. its not" -Dr Suess
Bruh this was already done in the basic globe map Denmark has to be a different color
this problem doesnt include exclaves
this problem doesnt include exclaves
I have an idea that might work make a
make square with circle draw lines connecting all of them
"It has to be on a plane" just build a the word "plane" and build the 3d map on top of it. BOOM beat the system, i do courses they are 33 bucks a week...
4 quarters of a circle all touching, ring around it, what color is the ring?
I figured out a solution: Exclaves apart of a country that isn't connected to the rest of the country
Just a normal world map with all the little enclaves in the world and stuff like Gibraltar
Thats not a rule, bro. Its meant that you dont need to use more than 4 colours. Not that should'nt use more than 4 tho.
its very simple to bypass really.
picture a circle with 4 lines that connect up to a circle inside the circle now you have 5 things you need to colour in you can colour the 4 sections but the centre colour is the big problem because no matter which 4 you choose it will collide with a colour already there. it doesnt even need to be a circle just so long as its a shape with 4 outer palettes and 1 inner palette.
Nah. In your example, you don't need to use 4 different colors for the 4 outer areas. 2 Colors in an alternating pattern are enough; followed by a third color for the middle.
Funny thing is that there probably is a 4 color map theorum for 3-d spaces too! It's defiantly not 4 colors
Infinite colors
wikipedia page on 4 color theorem shows proof without words that it is infinite
Never gonna give you up (Encouraged from the thumbnail)
Doesn’t 0:12 disapprove the theory?? Like it’s touching all four other colours, so it could ONLY be another colour.
Change new Mexico to green and goblin zone to red, now it works
Some countries have parts away from the rest like Russia use that
You could use SPHERICAL GEOMETRY
two things, the discord link doesn't work and where do i sent you the solution?
I just (probably) found a solution: darw a square, and another square inside of it, then split the small square to 4 peices by matching the edges
corners can be the same color
They gave a poof without words that the 3d map doesn't work.
i cant join the discord it says that the invite is invalid or has expired. how i fix
i have a idea: draw a circel in a circel and make some lines from the circel to circel
Make four countries that all border each other, and then make a country that touches all those four countries
What if you have a country with a long stretch of land touching 4 other countries, like a snake going through and touching all of them.
But the other countries also have to all be snakes that touch all of the other countries, which is impossible. You can't make 5 shapes where each of the 5 shapes touches the other 4 shapes.
Or just do one colour with very slight differences in shades
3:44 flip the iner green and purple.
A square with curved stick attached! Needs 5 colors
a circle where the colors are all touching every other color
make a map with 3 states, so its impossible to
use 4 colors lol
what about you're fixed USA map
Make a pizza but there are 4 lines on the crust done!!!!!!!
5 triangles that meet in one point. Or any amount of triangles.
The funniest part of this is that it's prooven to be impossible
You can do it by overseas teroterries
Like Alaske and usa
It is possible to break this with enclaves and exclaves
I did it! If this gets enough support, I will show it!!!
it says the ,ap needs to be on a plane. make a3d map of an airplane
Don't do it on a regular plane do it on a hyperplane 3D plane
oh no he's trying to disprove a proven mathematical theorem
*eats popcorn*