Wolfram Demonstrations Project

Six degrees of freedom (6DoF) refers to six independent motions of a rigid body in 3D space. They consist of three translations along the

, and

axes and three rotations around those axes,

, and

. 6DoF is a fundamental concept for mechanical, aeronautical, and robotics engineering. This Demonstration lets you interactively control a model with 6DoF, or you can choose the randomize option to visualize motion with multiple DoF combinations. (Select the "randomize" checkbox to toggle between random and manual control mode. )

Contributed by: Frederick Wu
Suggested by: Wei Wei and Zhiyang Yuan

Rotate and Zoom in 3D
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Snapshot 1 shows a cuboid model to illustrate the 6DoF concept

Snapshot 2 shows a soccer ball model to illustrate different motions with multiple DoF combinations

Snapshot 3 shows a space shuttle model's motion in space with randomized animation

For more details, see Chapters 1 and 8 of F. Wu, Manipulate@Mathematica, Beijing: Tsinghua University, 2010.

Degree of Freedom (ScienceWorld)

Translation (Wolfram MathWorld)

Rotation (Wolfram MathWorld)

Euler Angles for Space Shuttle (Wolfram Demonstrations Project)

"Randomize Motion for Six Degrees of Freedom" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/RandomizeMotionForSixDegreesOfFreedom/

Contributed by: Frederick Wu

Suggested by: Wei Wei and Zhiyang Yuan

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Randomize Motion for Six Degrees of Freedom

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