Now Roy told us that the diagramms have not been altered, I had a look.
It is indeed posible to make this braid with the instructions in ABOK.
But you will find it easier if you pre-twis the loop. Then the braid will fall into shape rather than twisting out of control.
I find it easier still to twist the string for as long as the braid needs to be, and splice back from there.
Here you wil find one way of doing that: http://knopen.ismijnhobby.nl/tables/twist_to_braid_table.html
There is one more way I know about. Again twist your string, wind one end around it and splice the last end in to make it a braid.
I have never found a way to make a drawing of that, but if you take a four strand round braid and pull out one end carefully, you can see how it should be done.
Hint, take big braided strings to make your four strand braid so you can see what happens.
Willeke