Poor
Euler Piruleta... he has forgotten how his own face looks like! Due to this
problem he has started a never-ending quest to retrieve his face.
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.
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
Forever Alone has given up his will to expend the whole eternity alone and has decided to take every single kid studying 1st or 2nd of ESO, among whom there are some of your siblings...
Damnable!
The instructions he has given to set them free are the following:
1) I promise half of them will be released if you solve the following simple challenge:
The snail's journey
A
forever-alone-snail has fallen into a 12-meter deep pit. Lucky him, this
pit was not filled with water, otherwise this fellow snail would be
forever-alone dead.
After two days
waiting for a rescue, he makes up his mind and decides to try to get out of the
pit single-handed. During the daylight, he manages to climb 2 meters, but when the
night time arrives, he rests and therefore slips 1 meter backwards.
How long will it
take for the snail to reach the surface?
2) All the hostages will be released if your brain manages to sort out the following situation:
The Three Hats
Three
forever-alone prisoners have bribed the guard to let them run free. However,
when the time comes, the guard decides to add one extra challenge: “I have here 5 Mexican
hats: 2 black hats and 3 reddish ones. You will be set
in a single line and three hats will be put over your heads. This way, the
person standing at the back can see the second person and the first one (and therefore
their hats), the person who is placed in the middle only sees the person
standing before him (and his hat) and the first one can’t see anybody. Some questions
will be asked and your freedom depends on some of you to give the right answer.
In the event of failing all the questions, you should be here forever and
forever-alone with me”
The guard
started:
-“This question
if for the guy in the back”. What’s the colour of your hat?”
-“I don’t know”, the prisoner replied.
-“OK. You, the
second one. What’s the colour of your hat?”
-“I don’t know”, the prisoner replied.
-“Muahahaha!!!!
You’re bound to be here with me for all the eternity!!!! Last chance! You, the
first one, will you be able to guess the colour of your hat?
-“I have a red hat”, she stated.
And
the prisoners were released.
How did the prisoner in the first
place of the single line guess the colour of her hat?
"This are the challenges you have to face. Shall my commands not be met, a disaster beyond your imagination will occur"
Euler Piruleta's services have been required once more to try to fight the maths terrorism!! But he needs your help!! Each challenge will be rewarded with one positive but be careful, Forever Alone's deadline is November the 18th... Do not hesitate and help Euler Piruleta to release the children!
Will Euler Piruleta manage to defeat evil Forever Alone? He has decided to relax with some music before the struggle:
(Rebecca Black's "Friday" LITERAL VERSION)
Don't miss the lyrics XDD
Nothing better to relax than a good laughter with a hilarious film. This has been my best contribution to youtube so far: 23.000 views. It was created in a library 4 years ago an afternoon when my brain was begging for a scape-way...
And finally, I'm glad to post here your last exam grades:
AD01
9,1
BC01
8
AD02
7,7
BC02
6,2
AD03
8,7
BC03
8,4
AD04
9,6
BC04
8,7
AD05
9
BC05
8,9
AD06
8,9
BC06
8,9
AD07
8,7
BC07
7
AD08
6,5
BC08
6,7
AD09
8,9
BC09
10
AD10
8,8
BC10
9,1
AD11
4,3
BC11
9,3
AD12
3,9
BC12
3,8
AD13
8,1
BC13
6,4
AD14
9,5
BC14
8,8
AD15
6,1
BC15
9,7
AD16
9,5
BC16
8,9
AD17
4,5
BC17
8
AD18
6,5
BC18
8,7
AD19
9,4
BC19
7
AD20
8,3
BC20
8
AD21
6,2
BC21
6,5
AD22
7,1
BC22
9,6
AD23
9
BC23
8,7
BC24
8,3
PS: Iñaki, Jorge, Ivan, Carlos, María G, Tania, Veronica and Xabier have given a (more or less) accurate answer to the previous challenge. Rejoice in your deserved new positive! :D
I very much hope you're having a good time during these four days off Spanish tradition have granted to you :P
Next monday is the fifth of November and, thanks to Maria, I remembered that it is Guy Fawkes' day!! Have you ever wondered where do the Anonymous masks come from??
There is an astonishing Comic called "V for Vendetta" which inspired a not less impressive movie 6 years ago. I strongly recommend both of them to you, they're worthy your time!
Now, as far as the last challenge is concerned, I'm glad to write here that Jorge, Iván, Sergio, Juan, Tania and Carlos deserve a new positive. Not all the answers were as precise as I wanted, by they were close enough ;)
I have taken that challenge from one of the most famous action-movies of the 90's: "Die Hard with a Vengance", so I would like Mr. Bruce Willis to explain the solution:
Finally, I do not want to compete with Ivan or Sergio's blog, but I'm afraid this piece of news is more hilarious than anything they have uplaoded so far! XDDDD Haahhaha!! !OMG!! And this man is postulating himself for President of the United States!
I am the one who wonders how this man's thoughts look like... And I may have got an answer:
(excerpt from Mitt Romney's thoughts)
Anyway, take care and have fun!
(Freddie Mercury's "Living on my Own" (1985)
I almost forgot to publish your new challenge!! XD Euler Piruleta services are required again!!
You Vs. The Hourglass
Thank God that
Taconera’s Park hasn’t exploded… We shall always be thankful to Euler Piruleta
and his Gang, who managed to solve the problem…
Nevertheless,
now Euler Piruleta has to face a new situation… Due to the American Elections taking
place this weekend, V from “V of Vendetta” is planning to demolish NavarroVillosladaHigh School.
You may think that this is some good news, but the truth is that his plans
affect you all since his idea is to set a bomb someday next week between 9 AM
and 2 PM.
To deactivate
the rudimentary bomb’s mechanism you should practice with these two hourglasses
to learn who to measure exact periods or time.
C’mon!!! You are
our only hope!!
These two
hourglasses last for 7 minutes (the big one) and 4 minutes.
How can we
measure exactly 9 minutes (nor one
second longer, neither shorter) using those hourglasses?
Tip: try to start both hourglasses at the same
time. What happens after exactly 4 minutes?