4 ms·

The bridges today in modern Kalningrad. https://www.google.com/maps/place/Knaypkhof,+Ulitsa+Kanta,+Kaliningrad,+Kaliningradskaya+oblast',+Russia,+236039/@54.70

The bridges today in modern Kalningrad. https://www.google.com/maps/place/Knaypkhof,+Ulitsa+Kanta,+Kaliningrad,+Kaliningradskaya+oblast',+Russia,+236039/@54.7046814,20.5115908,16z/data=!4m13!1m7!3m6!1s0x46e33d8d4b7c21a9:0x5050960016126ed3!2sKaliningrad,+Kaliningrad+Oblast,+Russia!3b1!8m2!3d54.7104264!4d20.4522144!3m4!1s0x46e31611283b3c4d:0x7112c08b68959f4a!8m2!3d54.7069392!4d20.5086368 https://www.google.com/maps/place/Knaypkhof,+Ulitsa+Kanta,+K... It appears that the geometry has changed since Euler's time, or the diagram is incorrect. It appears that is the larger ( Lomse/ Oktyabrsky ) island that has the 4 bridges from the mainland rather than the smaller one (Kneiphof). Ironically; the topology appears preserved, so it doesn't actually matter, which underscores the point of Euler's achievement.

dmix 6y ago
The cathedral on the island is beautiful and contains Immanuel Kant's tomb. It was bombed pretty severely in WW2, before that there were a bunch of buildings on the island: > After the war, the cathedral remained a burnt-out shell and Kneiphof was made into a park with no other buildings. Before the war, Kneiphof had many buildings. One of the buildings was the first Albertina University building, where Immanuel Kant taught, which was situated next to the east side of the cathedral. https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Cathedral https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Cathedral Picture of it prior to WW2 (featuring more bridges?): https://upload.wikimedia.org/wikipedia/commons/3/38/Modell_Dominsel_K%C3%B6nigsberg.jpg https://upload.wikimedia.org/wikipedia/commons/3/38/Modell_D...
- trhway 6y ago
  The cathedral got lucky as its skeleton, the walls, whats left after WWII fighting and bombing, were allowed to survive through the Soviet times. During 198x were was a flea/farmers market inside and behind it. The Castle didn't get that luck - https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle. It got bulldozed, and the boondoggle of Soviet glory - the "skyscrapper" (21 story in Kaliningrad region in 198x was almost mindblowing, add to that that it is on the top of the Castle hill, so it looms large over the city) - is still unfinished and (https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle#Current_situation https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle#Current... ) "Continuation of development was stopped in the 1980s as the massive building gradually sank into the structurally unsound soil stemming from the collapse of tunnels in the old castle's subterranean levels. Many people call this the "Revenge of the Prussians" or "The Monster"." These underground tunnels (Kenigsberg and Prussia as whole has a lot of them) were back then and i'd guess even more today the scene of active exploration, in particular for hidden Nazi stolen treasures (e.g. "Amber room"), weapons/munitions/etc. and just out of sheer curiosity ( after all it is centuries of history starting from Teutonic Order). So you sometimes would find yourself facing a problem of "N tunnels in three dimensions" with some of them flooded/leading into unknown/etc.

dmix 6y ago

The cathedral on the island is beautiful and contains Immanuel Kant's tomb. It was bombed pretty severely in WW2, before that there were a bunch of buildings on the island: > After the war, the cathedral remained a burnt-out shell and Kneiphof was made into a park with no other buildings. Before the war, Kneiphof had many buildings. One of the buildings was the first Albertina University building, where Immanuel Kant taught, which was situated next to the east side of the cathedral. https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Cathedral https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Cathedral Picture of it prior to WW2 (featuring more bridges?): https://upload.wikimedia.org/wikipedia/commons/3/38/Modell_Dominsel_K%C3%B6nigsberg.jpg https://upload.wikimedia.org/wikipedia/commons/3/38/Modell_D...

trhway 6y ago
The cathedral got lucky as its skeleton, the walls, whats left after WWII fighting and bombing, were allowed to survive through the Soviet times. During 198x were was a flea/farmers market inside and behind it. The Castle didn't get that luck - https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle. It got bulldozed, and the boondoggle of Soviet glory - the "skyscrapper" (21 story in Kaliningrad region in 198x was almost mindblowing, add to that that it is on the top of the Castle hill, so it looms large over the city) - is still unfinished and (https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle#Current_situation https://en.wikipedia.org/wiki/K%C3%B6nigsberg_Castle#Current... ) "Continuation of development was stopped in the 1980s as the massive building gradually sank into the structurally unsound soil stemming from the collapse of tunnels in the old castle's subterranean levels. Many people call this the "Revenge of the Prussians" or "The Monster"." These underground tunnels (Kenigsberg and Prussia as whole has a lot of them) were back then and i'd guess even more today the scene of active exploration, in particular for hidden Nazi stolen treasures (e.g. "Amber room"), weapons/munitions/etc. and just out of sheer curiosity ( after all it is centuries of history starting from Teutonic Order). So you sometimes would find yourself facing a problem of "N tunnels in three dimensions" with some of them flooded/leading into unknown/etc.