Is the Champernowne constant actually useful

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Has the aforementioned constant ever been used in any major proofs? Can it be expressed in terms of $e$, $\pi$, or both? Does it appear in any sort of geometric sense like $\pi$ does? Or is it just a kind of pretty number somebody thought would be nice to experiment with?

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Or is it just a kind of pretty number somebody thought would be nice to experiment with?

This.


More specifically, it is constructed in such a way that its (decimal) digits are easy to investigate. This allows to establish fairly easily that it is normal in its base. One might go as far saying it is a number constructed so that this works.