Thank you all, I was hoping to get something interesting out of this and the Space Filling Curves that Robert pointed at are brilliant. We have looked at fractals a bit and how finite lines can have infinite length, and how finite objects can have infinite surface areas so the Peano Curve will be interesting for him to look at.
The Conway base 13 function is a bit trickier for me to get my head around.
Trying to understand the conway base 13 function, if I take the interval (1, 2) and try and find the value in this interval which maps to -8.3 - just picking any old number out of my ass.
If I take the numbe 1.B8C3 (base 13), which is in the interval (1,2)
f(B8C3)=-8.3
Is that about right?
I found this tool helpful here, to convert fractional numbers in base 13 to base 10,
http://wims.unice.fr/wims/wims.cgi