o
     / \
    o   o
       / \
      o   o
         / \
        o   o
       /   / \
      o   o   o
         /   / \
        o   o   o

Ah, don't worry. If you just append to one side always and do an anti-balancing one, you get a string of lights.

  o  
   \  
    o  
     \  
      o  
       \  
        o  
         \  
          o  
           \  
            o  
             \  
              o  
               \  
                o

Hey we have the same tree!

    (()(()((())((())(()())))))