Please write response to each post below.
Zyan N.
I chose Königsberg Bridge Problem because I enjoy the combination of history and math! The problem is more or less said to be impossible to solve, but how it branched off to become a whole new field of mathematics is really interesting, and funnily enough, even before I truly understood the general problem, I made several attempts to find a solution, before finding out it was for naught. Its also crazy to think that from just a simple problem, it could be easily ascertained that it was impossible to discover topology itself. I believe I mostly understand how the problem itself is made up, with Euler explaining that you couldnt have all odd numbers of bridges on each island, as if one island differed from the rest, such as having an even number of bridges on one land mass, it would be possible. On
e thing that I did notice was that this type of geometry had applications such as general transportation and railway systems, but I am a bit curious about how this type of mathematics could apply to anything else other than topology.
Andrea S.
I play games all the time that require you to do things like this and I never knew that it was a mathematical thing! When I first was reading about Eulers Theorem my brain couldnt grasp what it was saying. Watching videos really helped me to make sense of how the theorem works because I could see it being drawn out.. I thought there would be a way to walk across all the bridges without crossing I actually tried it several times and didnt have success. This video really helped me to understand why. I also found that this theory applies to maps and that it can help us to find the best path and route to take.