This paper introduces the concept of a topological rubber glove and gi
ves several examples. In particular, we prove that the knot 8(17) and
the molecular graph of a single stranded DNA figure eight knot are top
ological rubber gloves. Then, we present an embedded graph which is no
t only a topological rubber glove, but has the additional property tha
t no embedding of the graph can be rotated to its mirror image.