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 According to TV (History Channel?  NOVA?) the stove impacts us little today, and is not important.  The stove is difficult to make work correctly.  The complicated flue will back smoke into the room if not operated just right.  As a result, the design was never popular, even in Franklin's time, and quickly fell into disuse.  I dunno if there's a connection between the Franklin Stove and box-shaped fire boxes used today.  I don't recall any mention of the fact on the TV special.