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3D Project

3D Calculus Project

Goals:

 

  • Explore calculus in 3D.
  • Have fun.
  • Recognize fundamental underpinnings of Calculus in multiple dimensions.

Task:

Complete a 3D physical project and an analysis of your 3D model/machine/design.

 

3dfractaltree
Stage 1 - Explore Your Options
 

You may take many directions with this project. As long as you can answer yes to both these questions, you're project will likely get approval:

  • Does your project involve Calculus or other advanced mathematics?
  • Is your project 3D?
  • Will my project keep my and the safety of other's safety in good standing?

 

Here are some thoughts about your options.

The "standard 3D model." Replications of
3D "machines" or "designs"

3dprojUsing materials of your own choosing,
build a model of a 3D equation.

2001-2004 projects
2005 projects
2006 projects
2007 projects

To build such a model, a 3D graphics program is needed.

harmonograph

Perhaps you'd like to build something like a harmongraph.

See an amazing video here



trebuchet

There are plenty of wondrous 3D math machines and designs people have spent much time already researching.

 

Most people enjoy doing the "standard 3D model." However, there are limitless options.

 

Stage 2 - Think and Understand
 

Before you begin to build anything,

  1. Explore methods on how you might go about building your 3D model/machine/design.
    • For the "standard 3D model" consider cross-sections with respect to different variables in your equation.
  2. Think about the math behind your project. What is the Calculus behind the project?
  3. Choose a process to build your model. Test drive your process and see if you like it and if it will work.
  4. Write a rough draft which explains how you plan to build your model.

 

3dproj
Stage 3 - Build and Explain
 
  1. Build your 3D model/machine/design!
  2. Write up an analysis of your project. A multi page analysis will be required to show the construction process of your model the role of calculus in your model.
    Some acceptable forms for your analysis:
    • Powerpoint
    • Prezi
    • Video
    • Microsoft Word

 

 

 

 

 

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