Take the number $\pi = 3.14159265359...$
Since $\pi$ is an infinite, non-repeating decimal, strings of decimals can repeat, and it would defy the definition of $\pi$ if we say that such a string of length $n$ repeats infinitely many times in sequence, is it a contradiction to state that other patterns or structures, outside of in-sequence ordering, of repeating sequences arise from the number?
For example, say that the $n$th string of length $k$ of $\pi$ is called $a$ and denoted as: $$...a_1a_2a_3...a_{k-2}a_{k-1}a_k...$$
Is it possible that the structure (I think I'm using this term loosely) of $a$ is isomorphic to the structure of $b$ such that $b$ is of length $k$ and denoted as:
$$...b_1b_2b_3...b_{k-2}b_{k-1}b_k...$$
If so, does this constitute a contradiction to the definition of infinitely non-repeating?