Nevertheless, it
seems that evil forces have spelled a cast on him and he has been trapped in
what looks like an endless quest... Oh no! He is cast away in a Möbius Strip!

If you wish to
help Euler Piruleta, you should know one or two things about this "Möbius
Strip":

1) The Möbius
Strip is a peculiar surface with intriguing characteristics.

2)
Every surface that you know has two faces (a sheet, a coin, the floor...) but
the Möbius Strip has just one face... an endless face!

3)
Unfortunately for him, our poor Euler Piruleta doesn't know these properties
and that's why he needs your assistance…

1) Build your own
Möbius Strip.

You
just need a long (and at least 4cm-width) paper strip.

Glue one end to the other as it is depicted in
the image below, turning one end:

Is
it possible to paint the inside and outside of the Möbius Strip using different
colors? Why?

2) Cut your Möbius
Strip in two (following an imaginary line which should be drawn exactly in the
middle of your strip):

Once you are
done… what do you get?

How many “turns”
does the object you have created have?

3) Repeat the
procedure you have done in the previous step and describe what you get.

Only if you
fully understand the complexity of the Möbius Strip will Euler Piruleta be
released from his infinity prison.

**Watch it:**

**your solution must include pictures of the outcomes of every part: your original Möbius Strip, the one you get after the first cut and what you get after the second cut.**

**Deadline: December the 3rd. Downlaod link.**

**For amusement only: this was another endless quest that become quiet famous when I was in school!**

**Dragon Ball Opening - GALEGO's Version**

**PS: Tania, Iván, Carlos, Andrea I., Jorge and Iñakig G. have been awarded with TWO possitives due to their answers to the last challenges ;) Congratulations. Euler Piruleta is starting to be very fond of you :P**