Pi

3.
141592653589793238462643383279

 

The ratio of a circle’s circumference to its diameter.
It’s decimal representation never ends or repeats.
Not the root of any non zero polynomial having rational coefficients.

 

5028841971693993751058209749445
9230781640628620899862803482534

 

Implies the impossibility of squaring the circle with a compass and straight edge.
The ubiquity of pi makes it one of the most widely known mathematical constants.
The ratio of the perimeter to the height of great pyramid at Giza is approximately 2 Pi.

 

2117067982148086513282306647093
8446095505822317253594081284811

 

Accuracy to 39 digits are sufficient to perform most cosmological calculations.
Its formulae are used in statistics, fractals, thermodynamics, mechanics, cosmology, number theory and electromagnetism.

 

1745028410270193852110555964462
2948954930381964428810975665933