A Gallery of Visualization DEMOS for Optimization Problems

The following is a gallery of demos for visualizing common max-min problems. These animations can be used by instructors in a classroom setting or by students to aid in acquiring a visualization background relating to the steps for solving max-min problems. 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 5) which is a free download available by clicking here; these file are also small. (The mov files may not execute properly in old 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.

For a detailed description click in the "General problem description" region.

 
General problem description.

Sample.

Gifs.

QuickTime

MATLAB
program. 

   Run JAVA applet.   Excel
program;
click to run or download.
Maximize the area of a pen

Click to view the gif animation. Click to view the mov animation.

available

pen applet available
Minimize the time for rowing and walking

Click to view the gif animation. Click to view the mov animation. available row/walk applet not available
Maximize the volume of an inscribed cylinder

Click to view the gif animation. Click to view the mov animation. available not available not available
Maximize the area of an inscribed rectangle

Click to view the gif animation. Click to view the mov animation. available rectangle under curve applet Routine with 7 different curves is available.
Determine the point on a curve closest to a fixed point

Click to view the gif animation. Click to view the mov animation. available distance point to curve applet Routine with 6 different curves is available.
Maximize the area for two pens Click to view the gif animation. Click to view the mov animation. available not available available
Maximize the area of a rectangle inscribed in an isosceles triangle

Click to view the gif animation. Click to view the mov animation. available inscribe rectangle applet available
Maximize the printable region of a poster

Click to view the gif animation. Click to view the mov animation. available not available available
Construct a box of maximum volume Click to view the gif animation. Click to view the mov animation. available not available available
Construct a cone of maximum volume Click to view the gif animation. Click to view the mov animation. available not available available
Maximize the viewing angle of the Statue of Liberty

Click to view the gif animation. Click to view the mov animation. not available not available not available
  Download a zipped Geometer's Sketch Pad file for Statue of Liberty in GSP4 Click to see a sketch of distance from base vs viewing angle; gif. Click to see a sketch of distance from base vs viewing angle;mov.

 

 
Minimize the travel time for light from one point to another 

Click to view the gif animation. Click to view the mov animation. not available not available not available
  Download a zipped Geometer's Sketch Pad file for light reflection in GSP4        
 

Zipped  downloads ==>

Click here to download the set of animated gifs. Click here to download the set of animated movs. Click here to download the set of MATLAB files. Click here to download the Java applets.  

 

Credits:  This demo was developed by 

David R. Hill
Department of Mathematics 
Temple University

and is included in Demos with Positive Impact with his permission.


1/02/2003     last updated 6/6/2007

Visitors since 3/22/2006