UCSC: Porter 34B, Chaos, Fractals, and the Arts, Winter 2015

Homework 01. Assigned Thursday January 08, noon

Due via email to abraham@vismath.org, Wednesday January 14, by 8 am.

A. Read "Psychedelics, Computers, and Visual Mathematics" [ evomind-ch02 ].

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 5.1.0.

#3. Download 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: 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.

NEW, 1/13/15: This improved model has high resolution sliders.

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.