From kelso's link

The insolubility of the 5 Room House problem can be proved using a graph theory approach, with each room being a vertex and each wall being an edge of the graph (see image opposite). In fact, this puzzle is similar to the famous “seven bridges of Königsberg” problem thanks to which the eminent Swiss mathematician Leonhard Euler laid the foundations of graph theory..

http://www.archimedes-lab.org/How_to_Solve/5_rooms.html

is kelso's link.

if you have ever studied graph theory, you will have seen this puzzle before. That's why I didn't bother. And mentioned graph theory, to point others to it on google.

there are "non-standard" out of the box ways to do it, as already mentioned in this thread.

anyone who had that should be a winner, if this is a competition.

whatever makes you happy

http://www.youtube.com/watch?v=vxVlN-LzIks 

there are "non-standard" out of the box ways to do it, as already mentioned in this thread.

Out of the box is another way of saying cheating. I could have also poked my pen through the paper and continued on the back, then poke through again to finish.

Or like Richo suggested and folded the paper up and draw a line through them.

What do you think of my solution, above?

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@just_saying_things wrote:

What do you think of my solution, above?

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 You cheated! 🙂

No, really i didn't. I drew that this morning while having breakfast.

I'm pleased in one way and a bit sad in another that one of my boyhood mysteries has vanished forever. 😉

Tsk Tsk Just, you have added 2 more line segments to the shape 🙂

the original shape has 16 segments but yours has 18

No cigar 🙂

You drew it wrong.

Back to the drawing board for you!

I just realised that my diagram is not the same os the original you posted. how embarrassment. however, it's the one i have always puzzled over and I just made a mistake in thinking they were the same.

hmmm. i'll get back to you in a few more years about Your puzzle. sorry.