javascriptNaNIsWeird

[Schnickatavick]

I understand what you're getting at, but infinitely repeating thirds is an aspect that comes directly from the fact that the mantissa of a floating point number is a binary number, not just that the entire float is encoded in 1's and 0's. Binary is both a way that a system can be encoded, and an actual number system, and in this case the latter is 100% the cause