9846

Camera Animations on Circles, Spirals, Helices, and Conical Spirals

This Demonstration shows animations described by parametric equations. The camera moves on a circle, an Archimedes's spiral, a helix, and a conical spiral. The camera (shown as a little sphere moving on the curves) and its view of a simple 3D scene (which consists of a table and some things on it) are shown simultaneously.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

For more information about dynamic aspects of parametric equations and camera animations, see the article (in German):
A. Filler, "Herausarbeiten funktionaler und dynamischer Aspekte von Parameterdarstellungen durch die Erstellung von Computeranimationen," Mathematische Semesterberichte, 54(2), 2007.
or the (shorter) English version:
A. Filler, "Discovering Functional and Dynamic Aspects of Parametric Equations by Creating Computer Animations," in Proceedings of the Ninth International Conference of the Mathematics Education into the 21st Century Project, "Mathematics Education in a Global Community," Charlotte, NC, (D. K. Pugalee, A. Rogerson, and A. Schinck, eds.) 2007 pp. 187-193.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.







Related Curriculum Standards

US Common Core State Standards, Mathematics



 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+