The methods used by Miller to construct his example has also been applied to get a modification of in [Charatonik 1979, Chapter IV, p. 230] (an outline of this construction is in [Caratonik 1977]). Below we summarize properties of this example, and recall an extension of this construction.
Dendrite is called a modified Miller dendrite . (For a further modification of the above construction that leads to chaotic, strongly rigid, openly rigid and not strongly chaotic dendrites, see [Charatonik 2000, Theorem 3.14, p. 650].)
Finally recall dendrites constructed in [Charatonik 1999, Examples 33 and 35, p. 28].