Seeking for a dyadic solenoid image

If it's wrong NG, a pointer to the right one would be much
appreciated.

I'm seeking a graphics representation of the dyadic solenoid,
something like the 3-adic picture sample at <http://en.wikipedia.org/
wiki/Solenoid_group>

Google search didn't help so far:
<http://images.google.com/images?svnum=10&hl=en&gbv=2&q=dyadic
+solenoid&btnG=Search>

Any picture would go even if a handwriting scan, I'll make the final
image by my own on 3D editor.


If I understand correctly such solenoid encompasses all decimal
rationals representable as a finite binary sequence, so it is kind of
"projection of binary world as seen by a decimal observer". If so then
is it possible to have a binary rational which is not representable as
a finite decimal sequence? What would be the graphical representation
of the "projection of decimal world as seen by a binary observer"?
Sorry if I said something really stupid. I'm a linguist by my primary
education (math linguistics related "survival minimum" in math many
years ago on bachelor studies).

.