Complexity of the Fibonacci snowflake
  The object under study is a particular closed curve on the square lattice $\Z^2$ related with the Fibonacci sequence $F_n$. It belongs to a class of curves whose length is $4F_{3n+1}$, and whose interiors by translation tile the plane. The limit object, when conveniently normalized, is a fractal line for which we compute first the fractal dimension, and then give a complexity measure. 
Alexandre Blondin Mass\'e, Sre\v{c}ko Brlek, S\'ebastien Labb\'e,   Michel Mend\`es France
math.MG