As you can see they are knitted toe up with a quilted lattice design. The pattern is Leyburn Socks and is a free one on Ravelry. I used the short row technique for starting the toes as detailed here.
The beautiful yarn is by Flamboyance Yarns in their Box of Crayons colourway. Isn't it pretty?
I'm almost ready to start doing the heel. The pattern suggests a short row heel like the toe so I'll give that a go and see how it looks. I think I'll put a lifeline in first as the pattern is a little vague!