Over the summer I worked out instructions for toe-up socks that look just like top-down socks. The pattern was made available on the Quince & Co website a couple of weeks ago. Problem is, I failed to specify the type of cast-on to use. I am such an idiot!
You should use a method that casts on stitches for working in the round such as Judy's Magic Cast-On or the Turkish/Eastern Cast-on. You can find instructions for these methods online through a Google search.