Sorry, that should be {4t} instead of {t}, as fixed below: Yes, if you let T_k, k in Z/4Z denote the transformation C -> C of the form z |-> az+b. a,b in C, that takes [0,1] to the kth segment of the initial "witch's hat" stage of the snowflake (4 intervals of length 1/3 each), then a parametrization S: [0,1] -> C of the snowflake curve should satisfy S({4t}) = T_[4t](S(t)) (where {} is fractional part and [] is floor). Does this determine S uniquely? --Dan ________________________________________________________________________________________ "Outside of a dog, a book is man's best friend. Inside of a dog, it's too dark to read." --Groucho Marx