Things you don't need to know...

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100-Vehicle Pileup in Denver After First Snowfall of the Season

Must be new residents or out out of townwers as Denver gets snow every year.

One lesson I learned always be prepeared in the colder months.:biggrin:
 
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Yeah, doesn't it ? :biggrin: :]
 
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konigsberg.png


The 7 bridges of Königsberg is a well known problem in graph theory: The task is to cross all bridges, each bridge only once. It's proven by Leonard Euler hat you can only do it if the end-points (here represnted by the 4 land masses) all have an even number of connections (bridges) or if there are exactly 2 points with an odd number of connections. In the classic problem 3 of the land masses have 3 connections, and one has 5. Adding the extra bridge creates 2 even land masses with 6 and 4 connections.

pibbuR
 
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Does Königsberg actually have 7 bridges ?
 
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Back then: yes.

Now (from Wikipedia: https://en.wikipedia.org/wiki/Seven_Bridges_of_Königsberg#Present_state_of_the_bridges):
"Two of the seven original bridges did not survive the bombing of Königsberg in World War II. Two others were later demolished and replaced by a modern highway. The three other bridges remain, although only two of them are from Euler's time (one was rebuilt in 1935).[8] Thus, as of 2022, five bridges exist at the same sites that were involved in Euler's problem."

pibbuR who observes that the 5 bridges of Königsberg problem is solvable.
 
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beRgen@noRway
Thank you.
 
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The Commodordion does have one huge flaw, writes Åkesson: ergonomics. When playing, the unit puts strain on his left wrist, arm, and shoulder

Drinking beer is the recommended medical treatment, since it efficiently muscles those parts of the body and dulls the pain.
 
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The 'Pocket Soup' That Fueled 18th Century Sailors.

The predecessor to modern-day bouillon cubes.
 
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If the soup is being kept in a sailor's pocket, I'll have the salad.
 
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Funny but it was just a thick soft jelly mixture they added to boiled water. :biggrin:
 
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So how did Bruce Lee Die? Researchers finally solved his death.
 
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