RD-blog-number-2187

Puzzle #7 – The Königsberg Bridge Problem

1.Seven Bridgesof Königsberg - Wikipedia, the free encyclopedia

The Seven Bridgesof Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1735 laid the foundations of...

Euler's analysis-Significance in the history of ...-Variations

Map of Königsberg in Euler's time showing the actual layout of the seven bridges, highlighting the river Pregel and the bridges

The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1735 laid the foundations of graph theory and prefigured the idea of topology.

The city of Königsberg in Prussia (now Kaliningrad, Russia) was set on both sides of the Pregel River, and included two large islands which were connected to each other and the mainland by seven bridges.

The problem was to find a walk through the city that would cross each bridge once and only once. The islands could not be reached by any route other than the bridges, and every bridge must have been crossed completely every time; one could not walk halfway onto the bridge and then turn around and later cross the other half from the other side. The walk need not start and end at the same spot. Euler proved that the problem has no solution. There could be no non-retracing continuous curve that passed through all seven of the bridges. The difficulty was the development of a technique of analysis and of subsequent tests that established this assertion with mathematical rigor.

1.Königsberg Bridge Problem-- from Wolfram MathWorld

Graph Theory›CircuitsCached-

The Königsberg bridge problem asks if the seven bridges of the city of Königsberg (left figure; Kraitchik 1942), formerly in Germany but now known as...

The Königsberg bridge probe...... m asks .....if the seven bridges of the city

SEVEN --> subset EVEN intergers.
SEVEN --> 7

SEVEN --> S + EVEN --> System Base 2 even integer ......atomic computer with 2 electrons on inside orbital

SEVEN ---> 7 = 5 + 2 = 5 outer electrons + 2 inner electron and communication BRIDGES inside the LUNGS of Euler.

Puzzle #7 – The Königsberg Bridge Problem

SEE internet site known as:

Marc's Space

Here’s the challenge: starting anywhere you like, can you traverse all seven bridges once and only once? According to the book I read as a child, this challenge was a popular pastime in the 1700s – on Sundays, the families of Königsberg would set out on a leisurely promenade in an attempt to traverse all seven bridges once.

I first read about today’s puzzle as a young boy and it’s stayed with me all these years later. In Germany, there was a city named Königsberg (it’s now a Russian city called Kaliningrad), which is set on a river. Situated in this river are two islands, which are connected to the river banks and to each other by a series of seven bridges, as illustrated in the image on the right.

Here’s the challenge: starting anywhere you like, can you traverse all seven bridges once

Did anyone succeed?
Can you find a non-overlapping route across all seven bridges?

Königsberg bridge problem

Atomic islands and molecular bridges anf their LINKS and communication methods

In the 18th century, the Swiss mathematician Leonhard Euler was intrigued by the question of whether a route existed that would traverse each of the seven bridges exactly once.

In demonstrating that the answer
is no (k +no + w --> know which of the 11 -dimensions of string theory you are describing),

he laid the foundation for graph (forest geography Earth Lab TREE of KNOWLEDGE map) theory.

Below,  the  Leonhard  Euler   message INTERNAL biology message on  nitrogen symbolic communication bridges.

Thus we see the Herbert Spencer  (year 1872)  model  of

INTERNAL biology thought systems and their
math mappings to the 
EXTERNAL world  of EARTH  surface geography parallel explanation maps.

In a sense, the Carl Jung atomic/molecular collective unconsciousness within EULER surfaced to a level of CONSCIOUS expression by his recognition of the SEVEN bridges.  That was an indirect expression of Nature's structures.  In year 1953 Watson, Crick, and others provided a more direct expression.

Seven Bridges of Königsberg
Seven
Seven  =  S + even  integer  …the universe math structure of  7 requires that it have an
even integer component  …2   or 4   or 6

Assume IBM Base 2 binary  or letter Z equivalent shape  ----  numeric 2
Then the shape of  alphabet  letter S  equivalent  ----- numeric shape 5

Thus in the geometric world of  shapes and graphic symbolic life …. 
Seven =  5 + even =  5 + 2  à  S + Z  …laws of  math SueZ  Canal

Seven = 5 nitrogenous bases + 2 cam.Bridge cities  

a)      University of Cambridge …gland  of  en.GLAND  

b)      Cambridge in the quantum state of MASS, USA with

àMIT  university …..evolution awareness deficiency  problems with Nature’s SIGNAL
 Mitsubishi Lancer Evolution   

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Today's Mit.subishi Lancer Evolution, technically known as the Lancer Evolution X, offers a level of performance typically found in European sports cars and sport ...

àHarvard Univeristy

 àHarvard-Smithsonian  Center for Astrophysics

 Now, when we look at the situation ..from the astrophysics VIEW of EARTH …..Earth Lab ………that is a distant, virtual astrophysics bio-math researcher could VIEW the living EARTH cell  and  5 nucleotide  equivalent Cambridge groups…..
  

1)    Cambridge  Wisconsin

       2)    3 groups at Cambridge, Mass, USA

       3)    1 group a Cambridge with the string theory ROPE of eu.ROPE

The 2 bridge cities and their universities are supposed to properly communicate about the SCIENCE  WARS problems …but they are so high up on the evolutionary scale of elite intellectuals  …… that forget about their true status.  I  recognize my situation as described by Lewis Carroll   ….. and I work with Nature to  understand the significance of those statements,

RD-blog-325

Lewis Carroll and the Virginia TECH student brain experiments...experiments in awareness of the social structure of Nature and the Earth government with subset human governments and institutions.

LEWIS Carroll from year 1865 ..Alice's Adventures in Wonderland, WHO Stole the Tarts?

The LEWIS Carroll EARTH LAB message:

"Here one of the guinea-pigs cheered, and was immediately suppressed by the officers of the court. .....(I will explain to you how it was done. ..with STRINGS: into this they slipped
the guinea-pig, head first and then sat upon it).
I'm glad I,ve seen that done' , thought Alice."

Thus the student guinea-pigs used by the modern EARTH LAB educational system...with the puppet strings as predicted by STRING THEORY physics ...about the Margaret Mead nuclear family ...the atomic brain intellect and the atomic social anthropology systems of Nature. 

The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1735 laid the foundations of ...

Puzzle – The Königsberg Bridge Problem