Comment on What are the most mindblowing fact in mathematics?

• Pronell@lemmy.world ⁨1⁩ ⁨year⁩ ago

  In your example the blue country could be yellow and that leaves the other yellow to be blue. Now no identical colors touch.

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  • wazoobonkerbrain@lemmy.world ⁨1⁩ ⁨year⁩ ago

    You still have two red countries touching each other, what are you talking about?

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    • Pronell@lemmy.world ⁨1⁩ ⁨year⁩ ago

      Oops I meant the red one goes blue.

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• Afrazzle@sh.itjust.works ⁨1⁩ ⁨year⁩ ago

  Whoops I should’ve been clearer I meant two neighbours within the donut. So the inside ones could be 2 or 3 colours and then the donut is one of the other 2 or the 1 remaining colour.

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  • Blyfh@lemmy.world ⁨1⁩ ⁨year⁩ ago

    You’re right. Bad example from my side. But imagine the four small countries being four parts of another donut that encompass a smaller country. Then it would be impossible.

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    • Afrazzle@sh.itjust.works ⁨1⁩ ⁨year⁩ ago

      That map is actually still quite similar to the earlier example where all 4 donut hole countries are the same. Once again on the right is the adjacency graph for the countries where I’ve also used a dashed line to show the only difference in adjacency. Image

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      • Blyfh@lemmy.world ⁨1⁩ ⁨year⁩ ago

        Oh wow, now I feel dumb. Thanks.

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    • neumast@lemmy.world ⁨1⁩ ⁨year⁩ ago

      Make purple yellow and one of the reds purple.

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      • SuddenDownpour@lemmy.world ⁨1⁩ ⁨year⁩ ago

        …There is no purple though?

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