Originally Posted by
anabolism
You need to cross both the Atlantic and Pacific oceans. So, you could do Europe-NA-SA-NA-Australia-Europe, but you'd be paying for Asia anyway, so you may as well visit there too. You could even do two visits to Asia as well as two to North America, e.g., Europe-Asia-NA-SA-NA-Australia-Asia-Europe.
Wait, isn't this backtracking? Europe-Asia-NA is eastward and NA-Australia-Asia is westward?