UCSC: Porter 34B, Chaos, Fractals, and the Arts, Spring 2014

Homework 01. Assigned Thursday 4/10

Due via email to abraham@vismath.org, Wednesday April 16, by 6 pm.

A. Read "The paleolithic birth of geometric thinking" [ MS#131 ].

There may well be a short quiz on this in Meeting #2.

B. Locate two periodic windows in the logistic family.

#1. View NetLogo tutorial #2 [ LIST ]

#2. Download (from the web) and install NetLogo 5.0.5.

#3. Download (from this page) the NetLogo model, logisticresponse.nlogo

** Note: The entire file must be saved to your desktop or some folder.

** Then opening that file with NetLogo will give you a model that works, as in class.

Optionally, you may want to experiment with the golden arch model: logistic.nlogo

HINT added 4/15: Use the model "logisticresponse.nlogo" to find a periodic window. Adjust the two sliders R-min and R-max anad push the makeit button repeatedly to zoom in on a periodic window. Report the R-min and R-max values that bracket the periodic window closely, and the period of the window, in your email to me. Repeat all this for a second periodic window.

C. Browsing the NetLogo Models Library.

#1. View NetLogo tutorial #1 [ LIST ]

#2. List three favorite NetLogo models from distinct categories of the NetLogo Models Library.