Consider a parametric arm of a constant length capable of any 3D operation. This Demonstration illustrates three fundamental spatial transformations of such an arm:
1. Flexure—continuous bending from a straight segment to a full circle.
2. Translation—a particular shape (a semicircle) travels along the arm.
3. Extension—two ends of the arm extend or contract.
The operations are controlled by a single parameter
THINGS TO TRY
Rotate and Zoom in 3D
 M. Zawidzki and K. Nishinari, "Modular Pipe-Z System for Three-Dimensional Knots,"
Journal for Geometry and Graphics
(1), 2013 pp. 81–87.
Wolfram Demonstrations Project
Published: February 28, 2014
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Degrees of Freedom of a Moving Rigid Body
Bricard's Flexible Octahedron
Chart for a Torus
Aaron T. Becker and Haoran Zhao
Rubik's Snake Puzzle
Michael Elgersma (Minneapolis) and Stan Wagon (Macalester College)
A Tessellation of the Sphere
Octavio R. Arzate
Equilibrium of a Suspended Mobile
Free Rotation of an Asymmetric Top
Ferat Talat oglu
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
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
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
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.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2016 Wolfram Demonstrations Project & Contributors |
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