Pi has no termination in its digital representation, no patterns in the digits, and no repetitive periodicity. Pi containing pi can be viewed as two strings: the original pi without termination in its digital representation, and another pi that starts within pi but also without any termination point.
== Periodicity ==
Pi containing pi means that there will be a string of numbers that repeat themselves: from the beginning of pi to when it first begins to repeat itself, which then would repeat itself again and again. However, it is generally assumed that there are no repeating patterns in pi.
== Analogy to Life and Eternity ==