ATM PIN Theft and the Mathematics of Systematic Guessing

The video below describes how an infrared device on iPhones can be used to steal Personal Identification Numbers (PINs) on ATM cards and credit cards. It is important that you watch this video because it also contains instructions on how to prevent theft.

What I am going to discuss post is how mathematics will be used on guessing the PINs systematically. This is not to encourage stealing, but to inform everyone that it can be done — so be careful.  In addition, there are machines nowadays that could copy cards, so once your card has been copied without you knowing it, the thief can have all the time in the world to guess your PIN. Please watch the video before continuing reading.  Continue reading

Bach’s Music on a Moebius Strip

If you are fond of classical music, then you have probably heard of Johann Sebastian Bach. He was one of the great composers of the Baroque period. His music was known for its intellectual depth, technical command, and artistic beauty (I copied the last sentence from Wikipedia, lol).

But what will surprise you more is how his music is tied to mathematics. Watch the video below of how playing the music backwards and forwards simultaneously can be visualized using a Moebius Strip.

H/T: Open Culture

New GeoGebra 3D Now Available for Download

Today, mathematicians, math teachers, math students, and math geeks should celebrate because of this new version of GeoGebra, the GeoGebra 3D. Below is a screenshot of its graphical user interface taken from my own computer. You can how download the new version, read the details about it in the Release Notes, and see some examples.

According to the official GeoGebra blog, the 3d version was headed by Mathieu Blossier (many thanks!) who had been coordinating the project since 2008.
GeoGebra 3D


To learn more about GeoGebra (2d), you can visit the GeoGebra page of this blog which contains more than 50 detailed step by step tutorials on how to use the software.

Enjoy and have fun.

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