We study the evolution of strange dwarf stars of 0.4, 0.55, and 0.8 M.
in the range of luminosities attributed to white dwarf stars. It is s
hown that, if the density at the base of the normal matter envelope is
slightly lower than the density at which the onset of neutron drip oc
curs, these objects will have an evolution observationally indistingui
shable from that corresponding to normal white dwarfs. This result is
independent of the chemical composition of the high density, normal ma
tter layers. However, strange dwarfs should behave very differently fr
om white dwarfs in mass exchanging close binary systems.