Thursday, 22 November 2012

Euler Piruleta Vs. The Möbius Strip

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.

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

Saturday, 10 November 2012

Euler Piruleta Vs. Forever Alone

Oh no!!

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...


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...

(10.000 million BC Original Trailer)

(10.000 million BC: MY version)

Challenges Printable Versions: The Snail's Journey & The Three Hats

 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

Thursday, 1 November 2012

Remember, remeber the Fifth of November

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!

Mitt Romney Wonders Why Ann Romney's Airplane Windows Don't Open

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 Navarro Villoslada High 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? 

Printable Version!

Deadline: Saturday the 10th of November!