New, faster and shorter version of my old Song "Wissenswertes über Pi"
The number pi is a mathematical constant that describes the ratio between the circumference and diameter of a circle. This ratio is independent of the size of the circle. Pi is a transcendental and therefore irrational number. It occurs in numerous branches of mathematics and has an approximate value of 3 point...
The number pi has fascinated people since ancient times. The Greek mathematician and physicist Archimedes calculated it to two decimal places using an approximate method. In the Middle Ages, pi was initially calculated to five, later to seven, and finally to 16 decimal places. In modern times, Ludolf von Ceulen succeeded in calculating the first 35 decimal places of pi using a "2 to the power of 62" triangle.
By 1961, 100,000 decimal places were already known, and by 2016, over 22.4 trillion.
Because the numbers after the decimal point do not repeat regularly, a kind of pi sport has developed in which people compete to see who can remember the most numbers. Rajveer Meena made it into the Guinness Book of Records on March 21, 2015, after ten hours. This Indian knows 70,000 digits of pi by heart.
At the 762nd decimal place of pi is the so-called Feynman point. This point is named after the physicist Richard Feynman, who supposedly once said in a lecture that he wanted to memorize all the digits of pi up to this point so that when reciting them afterwards, he could jokingly say, "nine nine nine nine nine nine and so on and so forth..."
This would imply that pi is a rational number. But it is not!
Pi is irrational.