## Beautiful and infinite - the number Pi and its magical qualities

**π** = 3.14159 26535 89793 23846 26433 83279 50288…

And so we could go on forever. Pi is definitely a magic number. It gives us the ratio of the circumference of a circle to its diameter. Regardless of the size of the circle, this ratio will always be the same.

Also associated with the number Pi is Euler's formula, called the most beautiful formula in mathematics because it combines both algebra, trigonometry and complex analysis:

And so we could go on forever. Pi is definitely a magic number. It gives us the ratio of the circumference of a circle to its diameter. Regardless of the size of the circle, this ratio will always be the same.

Also associated with the number Pi is Euler's formula, called the most beautiful formula in mathematics because it combines both algebra, trigonometry and complex analysis:

The number can be determined easily with a sheet of paper and a pen.

We draw a few squares on a sheet of paper, in which we inscribe circles. Suppose a circle has radius r and a square has side length 2r.

Then we ask someone to randomly draw dots on a piece of paper with a pen while blindfolded. In the next step we count how many dots are in a circle and how many in a square. Points in an empty field are not taken into account. From simple mathematical formulas:

The ratio of these two fields is:

By calculating the ratio of the number of points in a circle to the number of points in a square, then multiplying it by 4, we get the approximate value of.

This extraordinary number is associated with many records. A 60-year-old Japanese person memorized 100,000 digits of the decimal expansion of Pi. While reciting from memory, he would stop for a few minutes to eat. Some supercomputers can tell you a trillion decimal places.

More curiosities can be found at the Center for Science and Senses WOMAI at the science exhibition "Into the Light".

**Author - Gosia | Photographer - Womai**