I'm reading about Cantor Sets on Wikipedia. The article claims Cantor used a base 3 system for his theory, however I'm unable to find any material detailing how this system works. Can anyone point me to the description of this system and/or describe it here?
I ask because I found the following Egyptian Hieroglyph which appears to represent the picture of his theory. Unfortunately, the top is a bit clipped, but you can see the general idea of removing thirds.
In ternary, the Cantor set consists in all expressions $\sum_{n\ge0}\dfrac {a_n}{3^{n+1}}$, where $a_n\in\{0,2\}$.
The requirement that $a_n\ne1$ is equivalent to removing all the middle thirds.