If you get stuck with one of the mathematical proofs in the game (Marie’s route), you can always skip them by activating the guide mode, but maybe you are curious about the solution? Then take a look here.
Warning: That obviously spoils the fun of trying to figure out the proofs by yourself… 😉
Proof #1: Star trees are graceful
The correct first proof looks like this:
Proof #2: A more complicated type of trees
Here’s the proof for the second problem:
There are other correct possibilities to write it down.
There are other correct possibilities to write it down.
Proof #3: The friendship problem
That one is quite hard. Here’s the proof:
Again, there are different correct ways to write it down.
Again, there are different correct ways to write it down.
Final remarks
And this is what Marie thinks about you when you do the proofs by yourself:
If you had fun with these proofs, then here’s a final tip: there are very nice Youtube channels out there with interesting math content and loads of proofs. Check out, e.g., the channels by the Mathologer and by Numberphile. Of course, there are also lots of nice books on mathematics, e.g., Ian Stewart wrote many funny and easy-to-read books about math problems.
Finally, you should play the visual novel “The Last Secret”, also written by TBF: there you can learn from Karina about complex numbers, fractals and infinity… It’s available on Steam as well (for free).
If you had fun with these proofs, then here’s a final tip: there are very nice Youtube channels out there with interesting math content and loads of proofs. Check out, e.g., the channels by the Mathologer and by Numberphile. Of course, there are also lots of nice books on mathematics, e.g., Ian Stewart wrote many funny and easy-to-read books about math problems.
Finally, you should play the visual novel “The Last Secret”, also written by TBF: there you can learn from Karina about complex numbers, fractals and infinity… It’s available on Steam as well (for free).