map length (tiers :: [[ String ]])  =  [1,1,2,4,8,16,...]

length (list :: [ String ])  =  Infinity

allUnique (list :: [ String ])  =  True

ratioRepetitions (list :: [ String ])  =  0 % 1

tiers :: [String]  =
  [ [""]
  , ["a"]
  , [ "aa"
    , " "
    ]
  , [ "aaa"
    , "a "
    , " a"
    , "b"
    ]
  , [ "aaaa"
    , "aa "
    , "a a"
    , "ab"
    , " aa"
    , "  "
    , "ba"
    , "A"
    ]
  , [ "aaaaa"
    , "aaa "
    , "aa a"
    , "aab"
    , "a aa"
    , "a  "
    , "aba"
    , "aA"
    , " aaa"
    , " a "
    , "  a"
    , " b"
    , "baa"
    , "b "
    , "Aa"
    , "c"
    ]
  , ...
  ]