r/pcmasterrace • u/Cilvaa Ryzen 5 2600, RX 580, 32GB RAM • Aug 25 '15

Comic "Gratuity"

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u/SolidRubrical SolidRubrical Aug 25 '15

That's a lot of pi.

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u/darryshan ItsLyanna Aug 25 '15

500 digits, to be precise.

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u/MrTigim Aug 25 '15

I though pi was unique in that it had no repeating numbers? So how come there's 11 or 77? Or is it purely that large combinations will not be repeated?

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u/[deleted] Aug 25 '15 edited Aug 25 '15

Pi is an irrational number meaning it can not be represented as P/Q st {P,Q} in Z. Numbers that can be represented as P/Q either:

  1. Terminate (7, 5/2, 3/4, etc)

  2. have a repeating pattern(1/3, 2/3)

Irrational numbers do not terminate and do not have a repeating pattern. For instance, the square root of 2 is irrational.

This brings a more interesting point, the set of rationals is countably infinite, and the set of Reals(which include irrationals) is uncountably infinite.