The year was 1735, the city Konigsberg (now Kaliningrad). The map below shows the city,
two islands and seven bridges.  The question of the day was,
"given any starting point, can you cross all bridges only once?"

Go ahead and try it for yourself.
  
    





    

  

At the time people didn't know if it was possible, so they turned to the 
mathematician Leonhard Eular for an answer.  His solution
to the Seven Bridges of Konigsberg problem was that it couldn't be
done, and created a whole disipline called topology.  As was the solution of the creators of the page I borrowed these
pictures from.  I will soon create my own pics but for now I must show
the above link of their page.  They also gave this amateur proof to
show the problem could not be solved.
  
    

Take a look at these polygons.




    

  

Given those four polygons, can you draw an unbroken line through all
sides (line segments) of each polygon only once?  Of course you can't
sense all of the polygons have an odd number of sides.  You would
need an even number to enter and exit each polygon to go on to the next.
  
    



    

  

Although using geometry, if two distinct lines intersect, then they intersect
in exactly one point.*  (Including the end points of two line segments).
Therefore that point lies on both line segments.  So if another line passes
through that same point, then that line passes through both line segments.
  
    

*   Geometry Theorem 1.1

Using this analysis, you can infer this solution:




    

  

In this solution, the blue X's are the starting and finishing points.  The 
blue O's are where the above proof is put into effect.  The red line 
passes through the intersection of the line segments, which means it 
passes through both segments. Q.E.D.
  
    



    

  

I did not cheat above, but I did find a loophole.  Take the speed of light 
for an example (3X10^8 meters/second - 1.86X10^5 miles/second), you 
cannot travel faster than it.  Although you can "warp" space by stretching 
and contracting it.  Given you have a contained space around the object, 
a "warp field", you could travel relatively faster than the speed of light.  That 
way you don't need infinite energy to keep said object at it's current velocity.
  
    


Here is a similar loophole for the Konigsberg Problem:





    

  

Most people think we live in a three dimensional world.  More educated 
people understand that the fourth dimension is time.  But in fact we live 
in a twenty six dimensional universe.  The fifth being sub-space (or Hyper
-space), put simply, the correlation between all points 
in the universe.  Some people think it's beneath normal space and that it's actually 
space that can be traversed.  If you enter sub-space you come out in another 
part of the universe instantaneously.  The blue O's above represent the point 
where the object travels instantaneously between space.  Time in this case 
is not the variable and that energy is.  It might be feasible in the foreseeable 
future that by varying the energy put into an object traveling at near the speed 
of light could traverse space directly proportional to the energy put into it.