So you wake up , wash your face and drink your coffe after that you are pretty much ready to go to your work. Obviously when you are in some public transportation you get bored and you want to listen some quality music , but there is one obstacle waiting for you to ruin your entire day BAM 🔥! a knotted headphone cable.
Lets learn what is the mathematic behind this devastating incident. In 2006 scientest published an article named "spontaneous knotting of an agitated string" and the article contains result of 3416 experiments.
According to gathered amphiric results
The cables shorter then 46cm(18inches for my murican friends) have really little possibility to form a knot.
When the cable lenght increases the chance of forming a knot increases too.
The possibility of forming a knot for a 2m cable is approximately %50
The possibility of forming a knot for a cable which is longer then 2m is between %50 %60
The standart lenght for headphone cable is 140-160 cm and the odds for forming knot is ~%50.
Also researchers claims that every headphone cable is going to mix in your pocket if you give enough time. Because only one knot is enough to create a jungle of cables.
Here is the related article if you want to read furthermore : http://des.physics.ucsd.edu/DSmithKnotting.pdf