Here is a challenge a friend of mine came up with:
Use a pen and recreate this shape. You can only draw 3 lines that can start anywhere and end anywhere. The lines cannot overlap at one point.
To be honest, I can't figure it out. The problem is, that there are 3 lines connected to each point.
Neither I nor my friend, the creator of the challenge, came up with a solution yet. And we weren't able to prove it's impossible either.
Can someone find the solution of this puzzle? Or can you prove that it is impossible to solve this puzzle?
Where really curious to see the answer! Thanks for your help and have fun with the challenge ...
It is impossible. Each line has two ends, so you can only have six vertices that have an odd number of lines coming in. Your diagram has eight. For a single line, you are asking for an Eulerian path, which can only have two odd vertices.