Polar Gallery

The following is a gallery of demos for illustrating selected families of functions These figures and animations can be used by instructors in a classroom setting or by students to aid in acquiring a visualization background relating to the change of parameters in expressions for functions. Two file formats, gif and mov are available.

  1. The gif animations should run on most systems and the file sizes are relatively small. 

  2. The mov animations require the QuickTime Player (version 6) which is a free download available by clicking here; these files are also small. (The mov files may not execute properly in older versions of QuickTime.) 

  3. The collection of animations in gif and mov format can be downloaded; see the 'bulk' zipped download category at the bottom of the following table.

  4. We use abbreviations, GSP for Geometer's Sketch Pad 4, MAT for MATLAB, and EX for Excel spread sheet, to indicate the software used to generate the frames of the animation. If alternate corresponding software is also available there will be more than one abbreviation in that category. 

 

Gallery of Animations

Cardioids

EX
also a GSP file

Vary a: Gif Animation   
            Mov Animation

Tracing:Gif Animation   
            Mov Animation

Rose Curves

EX
also a GSP file
Vary a: Gif Animation   
            Mov Animation

Vary b: Gif Animation   
            Mov Animation

Tracing: Gif Animation   
             Mov Animation

Rose Curves

EX
also a GSP file

Vary a: Gif Animation   
            Mov Animation

Vary b: Gif Animation   
            Mov Animation

Tracing: Gif Animation   
             Mov Animation

Lemniscates

EX
also a GSP file

Vary a: Gif Animation   
            Mov Animation
Limacons

EX
also a GSP file

Vary a: Gif Animation   
            Mov Animation

Vary b: Gif Animation   
            Mov Animation

Equiangular Spiral

EX
also a GSP file

Vary a: Gif Animation   
            Mov Animation
Spiral of Archimedes

EX
also a GSP file
Vary a: Gif Animation   
            Mov Animation
 Lituus

EX

 

 Vary a: Gif Animation   
            Mov Animation
 Cochleoids

EX

 

 Vary a: Gif Animation   
            Mov Animation
Conic Sections

EX
also a GSP file

Vary k: Gif Animation   
            Mov Animation

Vary e: Gif Animation   
            Mov Animation

Rose 'Style' Curves

EX
also a GSP file

Vary a: Gif Animation   
            Mov Animation
 

Zipped downloads ==> 

 
 Download (all) Gif and Mov animations

 Download (14) Excel files

 Download (9) Geometer's Sketch Pad files

 

Other Selected Resources:

Credits:

8/6/03DRH          Last updated  5/22/2006

Since 8/29/03