Do you feel like you are back in geometry class yet?
The technique to cast-on is quite different than the usual method and a bit of a challenge if you have done things the same way for many years. Thankfully, youtube had a great tutorial.
Here is the beginning, notice the 180 degree twist. The yarn is black English Angora.
The finished product with the twist on the right. I may try it again and work out a few problems I had with counting. Here is the link to the pattern, the youtube link is a must watch if you have not tried this method before