Archive for August, 2012

The FedEx Universe

Posted: August 19, 2012 in Aircraft, Commercial, History, Legendary

Möbius Strip

Posted: August 16, 2012 in Science

The Möbius strip or Möbius band , also Mobius or Moebius, is a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.

A model can easily be created by taking a paper strip and giving it a half-twist, and then joining the ends o
f the strip together to form a loop. In Euclidean space there are two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise. That is to say, it is a chiral object with “handedness” (right-handed or left-handed).

It is straightforward to find algebraic equations the solutions of which have the topology of a Möbius strip, but in general these equations do not describe the same geometric shape that one gets from the twisted paper model described above. In particular, the twisted paper model is a developable surface (it has zero Gaussian curvature). A system of differential-algebraic equations that describes models of this type was published in 2007 together with its numerical solution.

The Euler characteristic of the Möbius strip is zero.


Walter Hartwell “Walt” White is a fictional character and the main protagonist of the American television drama series Breaking Bad on AMC. He is portrayed by Bryan Cranston and was created by series creator Vince Gilligan. Once a promising chemist who was one of the founding members of the fictional “Gray Matter Technologies”, Walter left the company for personal reasons and became an unhappy and disillusioned high school chemistry teacher. After being diagnosed with inoperable lung cancer, he resorts to manufacturing methamphetamine to ensure his family’s financial security when he dies. As the series progresses, Walter gradually grows villainous and dangerous.

Although AMC officials hesitated to cast Cranston due to his previous comedic role on Malcolm in the Middle, Gilligan cast him based on the actor’s past performance in an episode of The X-Files. Cranston has contributed to much of his character, including Walter’s back story, physical appearance and personality traits. Gilligan had described his goal with Walter White as turning Mr. Chips into Scarface, and has deliberately made the character less and less sympathetic.

Both the Walter White character and Bryan Cranston’s performance have received critical acclaim. Cranston has won three consecutive Primetime Emmy Awards for Outstanding Lead Actor in a Drama Series, becoming the second actor ever to do so and the first since Bill Cosby for I Spy in the 1960s.