Talal Shahid

## Stream

### Talal Shahid

Shared publicly  -

In the next 36 hours Table Top Racing is coming to a Google Play Store near you! http://uk.ign.com/games/table-top-racing/android-20011823﻿
1

### Talal Shahid

Shared publicly  -

what a smile : )﻿
1

### Talal Shahid

Shared publicly  -

Bazman Volcano, Iran

The cone-shaped summit is dissected by radial channels that appear like the spokes of a wheel. Read more at http://earthobservatory.nasa.gov/IOTD/view.php?id=82882&src=googleplus﻿
1

### Talal Shahid

Shared publicly  -

what's happened..?

#gif
#lion
#animal
#africaanimal
#persianpet  ﻿
1

Periods﻿

### Talal Shahid

Shared publicly  -
1

there wont be any ads on g+ because there are no people on g+﻿

### Talal Shahid

Shared publicly  -

Keep your eye on the cheetah!﻿
1

### Talal Shahid

Shared publicly  -

It's a monkey washing a cat, what more do you want?﻿
1

This doesn't look like a bath ﻿

### Talal Shahid

Shared publicly  -

Stop, look, listen! It's GIF TUESDAY This week, why we need dashcams.

Need more dashcam? Yes? Dashcam here:

http://bit.ly/1bMc9Q9
http://bit.ly/1ePhHI4
http://bit.ly/19KdyYp
#dashcam    #gifs   #gif   #nearmiss  ﻿
1

The guy in that speeding car  should be shot on sight﻿

### Talal Shahid

Shared publicly  -

Tiger #animals   #tiger #gif  ﻿
3
1

Amazing﻿

### Talal Shahid

Shared publicly  -

Möbius Strip

A paper strip, a few inches wide, glued to extremes, having given a half-turn twist, is one of the most extraordinary and surprising figures in mathematical world, having a thousand unpredictable transformations and applications. It is called Möbius strip and its popularity has gone far beyond the math, first as a simple game and then involving magicians, artists and scientists. To discover the great, fascinating world of this strip of paper it's sufficient to have the patience to build one for remaining bewildered by its characteristics.

If we try to cover the ring surface with a finger, we find that we return to the starting point without ever removing the finger.

First discovery: the Mobius ring has not two faces, a lower and an upper; unlike a normal paper ring, ie a cylinder, it has a single surface. If an ant wanted to cover the entire ring, at the end would find itself to the starting point, without "jumps" or "detachments", as it instead happens on a normal cylinder. And this fact has sparked the imagination of the " mathematical painter" Mauritius Cornelius Escher, who introduced this curious form in many of his works. The most famous work is just a Möbius ring covered by ants.

Then let us try to divide in half  the ring. On the contrary to what we might expect, we will not have two tapes, but just a longer one. Let us divide in half again the strip so obtained and surprisingly we get two chained together rings. We get equally two rings by cutting the starting ring to one-third rather than in half, always in the direction of the length: one is a Möbius strip, the other one is a strip with a twist of 360°.

Let's try again to take two overlapped strips of paper and let's join them together each other, after having always given a half-turn twist, alternating the far ends of the two strips in the closure (...with a bit of practice you understand how to do it). We could think of obtaining in this way  two Mobius rings, one inside the other one and detached from each other. But if you scroll a pencil among the two rings, you can verify that the pencil comes back to the starting point without encountering obstacles. When we open this surface we can see that the result is a single ring, larger of the two rings that we superimposed at first.

At the end of our experiments, we'll have the desk full of ribbons more or less twisted and it will be also logical that we ask ourselves what sense they can have.

Some great mathematicians put themselves this question, for example, Carl Friedrich Gauss, who, intrigued by the strange figure, would have suggested the study of that one in two of his pupils, August Ferdinand Möbius (1790 - 1868) and Johann Benedict Listing (1808-1882).

The authorship of the object would be due to Listing, who was the first to publish an article about the subject, and for mathematicians, yesterday as now, the rule is that the recognition of a discovery should be due to the first who has a publication about that one. Möbius is instead the mathematician who deepened the study, but leaving  only some notes in his study, found after his death. Möbius wrote that he had discovered the strip when he was 68 years old, in 1858. He gave his name to the famous strip and, ultimately, that's okay: Möbius is a name more intriguing, almost magical, more suitable to the magics of his paper strip.

Of course he could not imagine that would go down in history not for his influential mathematical works, but only for that simple paper strip.

Listing has however the merit of having coined the term "topology" to indicate that vast branch of mathematics also called "rubber sheet geometry" because it studies the properties of a figure that remains unchanged when it is subjected to a deformation. Topology is an important part of modern mathematics and the analysis of the Möbius strip is the better way for starting its study.

A curiosity:
The "Möbius Syndrome", which prevents people from smiling, it has nothing to do with the famous strip, if not for the fact that it was discovered by Paul Möbius, nephew of mathematician. The family of August Möbius had several famous people. Among these there were several persons of letters, a botanist, a neurologist and an archaeologist.

http://www.openculture.com/2013/02/the_genius_of_js_bachs_crab_canon_visualized_on_a_mobius_strip.html
http://www.toroidalsnark.net/mkmb.html
http://mechproto.olin.edu/final_projects/average_jo.html
http://mathworld.wolfram.com/MoebiusStrip.html

Gif source: http://www.functor.co

#mathematics #topology #animated_gif #science #sciencesunday﻿
1