So i was given this question. Here is my solution to this question.
This graph does not have a Euler circuit because in every iteration of the circuitry of the graph there is no possible way to achieve every line being crossed while starting and ending at the same location on the graph without the use of a single path multiple times. This was proven through trial and error and testing every iteration of the graph. What seems to be the actual issue is that we are always left with 1 path unused. It seems this is because of the formation of the graph geometrically does not allow us to create a circuit on this graph. Also because the Hamiltonian circuit is impossible on this graph it also infers that logically the Euler circuit also cannot exist.
Is this correct. I don't understand the Euler path part and how would you find a path.