A Family with Flaky Skin

Three siblings share a scaly, lizard-like rash. Neither parent has the condition. What do you think this could be?

Three siblings are seen for a somewhat disfiguring skin condition that has made them the brunt of teasing among their peers. It is characterized by polygonal-shaped scale that makes the skin appear lizard-like and in the case of the 12-year-old girl it is dark enough to look like dirt.Neither parent is affected by the condition but there is a positive family history.