Yes, zero dimensional things like your string can have fractal dimension > 0. I got a bit googly in trying to find an off the shelf library that would do this with little work. Although I had no luck, I did find this:
The Fractal Patterns of Words in a Text: A Method for Automatic Keyword Extraction http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0130617#sec005 As to your string, particularly, I don't know. But here's what a completely ignorant call to fd.estimate tells me: variogram madogram rodogram variation incr1 hallwood boxcount 1.488012 1.276855 2 1.276855 1.475277 1.299939 1.169925 arrived at via R: > require(fractaldim) > dat <- "ABABABABcdcdcdcdABABABABcdcdcdcdABABABABcdcdcdcdABABABABcdcdcdcd" > dat2 <- as.numeric(utf8ToInt(dat)) > out <- > fd.estimate(dat2,methods=list("variogram","madogram","rodogram","variation","incr1","hallwood","boxcount")) I have no idea what, if anything, any of those numbers mean. 8^) Garbage => garbage. On 03/01/2017 09:36 AM, Nick Thompson wrote: > This is getting embarrassing because I started something here that I am too > frigging dumb to understand. But let me just ask you fractalologists out > there to clarify: As a matter of definition, can a time series be "fractal". > So is the time series, ... > > ABABABABcdcdcdcdABABABABcdcdcdcdABABABABcdcdcdcdABABABABcdcdcdcd > > ,..."fractal"? Or is that just abuse of terminology. -- ☣ glen ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
