Exploring Some Polar Graphs with Sketchpad

I really like the new version 5 of Geometer’s Sketchpad. One of the most useful new features is the ability to quickly create parameters that can change over a specified range continuously or in specified jumps. Then you can use those parameters in functions that can be plotted. In the screencast below, I used parameters and animation to illustrate properties of some special polar graphs, specifically “rose curves”, cardioids, limaçons, and lemniscates:

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s