The quaternions are a number system, which is the four-dimensional extension of the
two-dimensional complex number system.
The image visualized in this movie is the quaternion extension of a single complex
Julia set. This Julia set is rotated in the complex plane, an action that causes dynamic alterations
to its quaternion extension.
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A section of the Julia set is removed to show two properties. First, the complex
Julia set really does not change, and second, there always exists a set of perfect concentric circles
centered at the origin embedded in the plane spanned by the imaginaries i and j.
After the removed section is closed, the Julia set is rotated in the plane spanned by the
real and j axes, and then rotated in the real and k axes.
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The set is next rotated through the complex plane. The dynamics
of the Julia set are made more visible by a fly-through.
Dynamics of the Quaternion, 1989
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Computer Animation:
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John Hart
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Advisors:
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Tom DeFanti
Louis Kauffman
Alan Norton
Daniel Sandin
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Tech Directors:
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Fred Dech
Irving Moy
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Executive Producers
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Maxine Brown
Tom DeFanti
Daniel Sandin
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