Haven't got the 1964 edition Anne, but the 1951 edition Vol 1 page 99 Para heading To flake down a rope (Fig 88) A rope which may have to be paid out quickly should be flaked down in as long flakes as stowage space allows, etc,
Similarly Vol II page 126 Para headed To pay out a heavy hawser. When paying out a heavy hawser it must be kept under control ....It should be flaked in as long fleets as the deck space permits, ... and in Appendix A Glossary, Fake - a coil in a coiled rope.
Just to add some variety, I presume that what Spaw and others have refered to as 'flemish coils' is cheesing down?
Pete M