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Real Quaternions and Rotations
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| Organization: | Baylor University |
| Department: | Department of Mathematics |
| Organization: | Winthrop University |
| Department: | Department of Mathematics |
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Introduction | Real Quaternions | The Polar Form of a Quaternion | Rotations | Multiplication Is Rotation | A Graphics Animation via Quaternions | Euler Angles | A Graphics Animation via Euler Angles
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Hamilton's algebra of quaternions is introduced and implemented using Mathematica Version 4. The polar form of a quaternion is developed and is applied to the problem of computing the effect of a sequence of rotations on an object in three-dimensional space. Quaternion equivalents for rotations via Euler angles are illustrated.
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http://www.mathematica-journal.com/issue/v8i3/features/turner/
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