Eliminate the double reverse option.  It's only use case
was academic and it was potentially confusing to use.
diff --git a/Lib/test/test_enumerate.py b/Lib/test/test_enumerate.py
index 00ecbcc..34bc71d 100644
--- a/Lib/test/test_enumerate.py
+++ b/Lib/test/test_enumerate.py
@@ -141,11 +141,8 @@
         x = xrange(1)
         self.assertEqual(type(reversed(x)), type(iter(x)))
 
-    def test_double_reverse(self):
-        s = 'hello'
-        self.assertEqual(list(reversed(reversed(s))), list(s))
-
     def test_len(self):
+        # This is an implementation detail, not an interface requirement
         s = 'hello'
         self.assertEqual(len(reversed(s)), len(s))
 
diff --git a/Objects/enumobject.c b/Objects/enumobject.c
index 55595ce..1d13123 100644
--- a/Objects/enumobject.c
+++ b/Objects/enumobject.c
@@ -236,23 +236,11 @@
 	return PyObject_Size(ro->seq);
 }
 
-static PyObject *
-reversed_reverse(reversedobject *ro, PyObject *unused)
-{
-	return PyObject_GetIter(ro->seq);
-}
-
 PyDoc_STRVAR(reversed_doc,
 "reverse(sequence) -> reverse iterator over values of the sequence\n"
 "\n"
 "Return a reverse iterator");
 
-static PyMethodDef reversed_methods[] = {
-	{"__reversed__",	(PyCFunction)reversed_reverse,	
-		METH_NOARGS,	 reversed_doc},
-	{NULL,		NULL}	/* sentinel */
-};
-
 static PySequenceMethods reversed_as_sequence = {
 	(inquiry)reversed_len,		/* sq_length */
 	0,				/* sq_concat */
@@ -289,7 +277,7 @@
 	0,                              /* tp_weaklistoffset */
 	PyObject_SelfIter,		/* tp_iter */
 	(iternextfunc)reversed_next,    /* tp_iternext */
-	reversed_methods,               /* tp_methods */
+	0,				/* tp_methods */
 	0,                              /* tp_members */
 	0,                              /* tp_getset */
 	0,                              /* tp_base */