diff --git a/src/Fuzz.elm b/src/Fuzz.elm
index 34c751a..6a83b6e 100644
--- a/src/Fuzz.elm
+++ b/src/Fuzz.elm
@@ -265,12 +265,38 @@ asciiCharGenerator =
     Random.map Char.fromCode (Random.int 32 126)
 
 
-whitespaceCharGenerator : Generator Char
-whitespaceCharGenerator =
-    Random.sample [ ' ', '\t', '\n' ] |> Random.map (Maybe.withDefault ' ')
+unicodeCharGeneratorFrequencyList : List ( Float, Generator Char )
+unicodeCharGeneratorFrequencyList =
+    let
+        ascii =
+            asciiCharGenerator
+
+        whitespace =
+            Random.sample [ ' ', '\t', '\n' ] |> Random.map (Maybe.withDefault ' ')
+
+        tilde =
+            '̃'
+
+        circumflex =
+            '̂'
 
+        diaeresis =
+            '̈'
+
+        combiningDiacriticalMarks =
+            Random.sample [ circumflex, tilde, diaeresis ] |> Random.map (Maybe.withDefault circumflex)
+
+        emoji =
+            Random.sample [ '🌈', '❤', '🔥' ] |> Random.map (Maybe.withDefault '❤')
+    in
+    [ ( 4, ascii )
+    , ( 1, whitespace )
+    , ( 1, combiningDiacriticalMarks )
+    , ( 1, emoji )
+    ]
 
-{-| Generates random printable ASCII strings of up to 1000 characters.
+
+{-| Generates random printable unicode strings of up to 1000 characters.
 
 Shorter strings are more common, especially the empty string.
 
@@ -278,28 +304,20 @@ Shorter strings are more common, especially the empty string.
 string : Fuzzer String
 string =
     let
-        asciiGenerator : Generator String
-        asciiGenerator =
-            Random.frequency
-                [ ( 3, Random.int 1 10 )
-                , ( 0.2, Random.constant 0 )
-                , ( 1, Random.int 11 50 )
-                , ( 1, Random.int 50 1000 )
-                ]
-                |> Random.andThen (lengthString asciiCharGenerator)
-
-        whitespaceGenerator : Generator String
-        whitespaceGenerator =
-            Random.int 1 10
-                |> Random.andThen (lengthString whitespaceCharGenerator)
+        unicodeGenerator : Generator String
+        unicodeGenerator =
+            frequencyList
+                (Random.frequency
+                    [ ( 0.2, Random.constant 0 )
+                    , ( 3, Random.int 1 10 )
+                    , ( 1, Random.int 11 50 )
+                    , ( 1, Random.int 50 1000 )
+                    ]
+                )
+                unicodeCharGeneratorFrequencyList
+                |> Random.map String.fromList
     in
-    custom
-        (Random.frequency
-            [ ( 9, asciiGenerator )
-            , ( 1, whitespaceGenerator )
-            ]
-        )
-        Shrink.string
+    custom unicodeGenerator Shrink.string
 
 
 {-| Given a fuzzer of a type, create a fuzzer of a maybe for that type.
diff --git a/src/Util.elm b/src/Util.elm
index 9d3fbbd..0be9e93 100644
--- a/src/Util.elm
+++ b/src/Util.elm
@@ -30,3 +30,59 @@ lengthString : Generator Char -> Int -> Generator String
 lengthString charGenerator stringLength =
     list stringLength charGenerator
         |> map String.fromList
+
+
+{-| Creates a generator from either a single element from a single generator,
+a single one of the generators, a pair of the generators or all of the generators,
+then runs Fuzz.frequency on that subset until we have the desired length list.
+
+**Warning:** Do not pass an empty list or your program will crash! In practice
+this is usually not a problem since you pass a list literal.
+
+-}
+frequencyList : Generator Int -> List ( Float, Generator a ) -> Generator (List a)
+frequencyList lengthGenerator pairs =
+    let
+        weightedPairs =
+            pairs |> List.map (\( a, b ) -> ( a, constant ( a, b ) ))
+
+        randomGenerator : Generator ( Float, Generator a )
+        randomGenerator =
+            weightedPairs |> frequency
+
+        generator : Generator (Generator a)
+        generator =
+            sample
+                [ -- single repeated element for a single generator
+                  pairs
+                    |> frequency
+                    |> map constant
+
+                -- single generator
+                , randomGenerator
+                    |> map List.singleton
+                    |> map frequency
+
+                -- pair of generators
+                , map2
+                    (\a b -> frequency [ a, b ])
+                    randomGenerator
+                    randomGenerator
+
+                -- all generators
+                , pairs
+                    |> frequency
+                    |> constant
+                ]
+                |> andThen
+                    (\gen ->
+                        case gen of
+                            Nothing ->
+                                Debug.crash "frequencyList is broken; list literal is empty"
+
+                            Just gen ->
+                                gen
+                    )
+    in
+    map2 (,) lengthGenerator generator
+        |> andThen (\( len, gen ) -> list len gen)
diff --git a/tests/FuzzerTests.elm b/tests/FuzzerTests.elm
index 633d8a1..8862a4b 100644
--- a/tests/FuzzerTests.elm
+++ b/tests/FuzzerTests.elm
@@ -129,6 +129,7 @@ fuzzerTests =
             , shrinkingTests
             , manualFuzzerTests
             ]
+        , unicodeStringFuzzerTests
         ]
 
 
@@ -260,3 +261,37 @@ manualFuzzerTests =
                         , List.reverse >> List.head >> Expect.equal (Maybe.map Tuple.first pair)
                         ]
         ]
+
+
+unicodeStringFuzzerTests : Test
+unicodeStringFuzzerTests =
+    describe "unicode string fuzzer"
+        [ expectToFail <|
+            fuzz string "generates ascii" <|
+                \str -> str |> String.contains "E" |> Expect.true "Expected to find ascii letter E"
+        , expectToFail <|
+            fuzz string "generates whitespace" <|
+                \str -> str |> String.contains "\t" |> Expect.true "Expected to find a tab character"
+        , expectToFail <|
+            fuzz string "generates combining diacritical marks" <|
+                \str -> str |> String.contains "̃" |> Expect.true "Expected to find the combining diactricial mark character tilde"
+        , expectToFail <|
+            fuzz string "generates emoji" <|
+                \str -> str |> String.contains "🔥" |> Expect.true "Expected to find 🔥 emoji"
+        , expectToFail <|
+            fuzz string "generates long strings with a single character" <|
+                \str ->
+                    let
+                        countSequentialUniquesAtStart s =
+                            case s of
+                                a :: b :: cs ->
+                                    if a == b then
+                                        1 + countSequentialUniquesAtStart (b :: cs)
+                                    else
+                                        0
+
+                                _ ->
+                                    0
+                    in
+                    str |> String.toList |> countSequentialUniquesAtStart |> (\x -> x < 7) |> Expect.true "expected a string with 7-length duplicates"
+        ]