Stated another way, pi includes every number that has a finite representation. Thus pi includes itself in all of its increasingly precise representations, without limit, and therefore contains pi within a vanishingly small margin of error.
== Analogy to Life and Eternity ==
Stumbling into the "pi within pi" amid another otherwise random string of numbers can seem eerily similar to happening upon [[eternity]] in [[heaven]] or [[hell]]. While the math question has a math answer, the implications for the existence of eternity are unmistakable.
== See also ==