Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
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Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#2I found it kinda funny that most lectures in my Math 101 started with "the little Euler" or "the little Gauss". Like those guys did all of Math on their own when they were children, haha.
Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#3I found it kinda funny that most lectures in my Math 101 started with "the little Euler" or "the little Gauss". Like those guys did all of Math on their own when they were children, haha.
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Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#4I found it kinda funny that most lectures in my Math 101 started with "the little Euler" or "the little Gauss". Like those guys did all of Math on their own when they were children, haha.
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Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#5When I first saw this problem in elementary school, I went to look at an atlas to see if I could see the bridges (but couldn't because the scale in an atlas was too large). I'm just blown away that today, not only can I find the map but I can look at the aerial view and go on virtual walks through the city and the bridges -- mere seconds after reading about it:
https://www.google.ca/maps/place/Kaliningrad,+Kaliningrad+Ob...
I'm wondering what the amazing mapping advance will be 20 years from now. Real time street views of all metropolitan areas?
Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#6When I first saw this problem in elementary school, I went to look at an atlas to see if I could see the bridges (but couldn't because the scale in an atlas was too large). I'm just blown away that today, not only can I find the map but I can look at the aerial view and go on virtual walks through the city and the bridges -- mere seconds after reading about it: https://www.google.ca/maps/place/Kaliningrad,+Kaliningra…
I visited Kaliningrad in 2007 and puzzled my hosts by asking them if I could see the famous bridges. They hadn't heard of Euler and the Bridges of Königsberg. I was astonished.
We drove around and saw a couple of what I think were the bridges dating from Euler's time. Others had been destroyed in WW2 and/or replaced with modern, larger bridges.
Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#7When I first saw this problem in elementary school, I went to look at an atlas to see if I could see the bridges (but couldn't because the scale in an atlas was too large). I'm just blown away that today, not only can I find the map but I can look at the aerial view and go on virtual walks through the city and the bridges -- mere seconds after reading about it: https://www.google.ca/maps/place/Kaliningrad,+Kaliningra…
[deleted]
Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#8When I first saw this problem in elementary school, I went to look at an atlas to see if I could see the bridges (but couldn't because the scale in an atlas was too large). I'm just blown away that today, not only can I find the map but I can look at the aerial view and go on virtual walks through the city and the bridges -- mere seconds after reading about it: https://www.google.ca/maps/place/Kaliningrad,+Kaliningra…
I visited Kaliningrad in 2007 and puzzled my hosts by asking them if I could see the famous bridges. They hadn't heard of Euler and the Bridges of Königsberg. I was astonished. We drove around and saw a couple of what I think were the bridges dating from Euler's time. Others had been destroyed in WW2 and/or replaced with modern, larger bridges.
> Others had been destroyed in WW2 and/or replaced with modern, larger bridges.
I read a while ago that the destruction had actually rendered the bridges problem soluble (that is, that there is a modern Eulerian path); but I don't know if that was true at the time, or is still true.
Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#9Would traveling to the source of the river Pregel and walking around it count as a solution?
Re: Leonard Euler's Solution to the Konigsberg Bridge Problem (2006)
#10Would traveling to the source of the river Pregel and walking around it count as a solution?
Alas! One of the Pregel's tributaries originates in a lake which is itself linked by a canal to the Baltic, forming a loop excluding Konigsberg.