Is DNA really right-handed(plectonemic) double helix? The author asked several questions and proved that the linking number of a plasmid could be zero,which is a phenomenon unexplainable by the traditional double helix model.Based on this observation and several other evidences,a hypothesis about the double helix was proposed.It is called ambidextrous double helix,in which the two strands are supposed to wind in both directions.This essay is provided for discussion.It is hoped that the readers can block their first impression,keep their minds open,to think carefully,independently,critically on the novel ideas that were not written in textbooks and to make their own judgments.