To start the thread off, here is a sawtooth: {{{1,8,1},{0,1,1}},{{1,8,1},{0,1,0}}}
(you should be able to copy-paste this into Turmite-Gen.py)
I also have this one where the growth rate slows down(I think it's logarithmic):
{{{1,1,1},{1,8,1}},{{1,2,0},{0,2,0}}}
An oblique highway:
{{{1,4,1},{0,8,0}},{{1,8,1},{0,2,0}}}