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

Homework 03. Assigned Thursday January 22, noon

Due via email to abraham@vismath.org, Wednesday January 28, by 8 am.

A. Read "Jordan Belson, Last of the Great Masters", [ Bill Moritz ].

There may well be a short quiz on this in Meeting #4.

B. Locate a periodic window in the KKM family.

#1. Download the NetLogo model, mira2.nlogo.

#2.: Use the model to find values of the parameter "a" and "b" sliders with periodic behavior.

• 2.1 Adjust the "a" slider to "0.7"
• 2.2 Adjust the "b" slider to several values between "-1.0" and "-0.4"
• 2.3 Click the "setup" button,
• 2.4 Click "go" to start, and quickly click it again to stop the model.
• 2.5 Click the "clear" button
• Repeat step 2.4
• You are looking for a screen that is nearly all black. Count the colored points to determine the period.

#3. Report the approximate values of "b" and the corresponding periods in your email to me.

C. Learning NetLogo.

#1. Create a simple turtle model from scratch (OK to use junk.nlogo.)

#2. Include at leasts one reporter in your model, and use in in a button procedure.

#2. Send me your model "hw3.nlogo" as an attachment to your email.