Radial slice (ConceptTopic, 4)
From Hi.gher. Space
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A '''radial slice''' of a k-dimensional [[shape]] is the [[BSM]] [[intersection]] of that shape with a m-dimensional [[hyperspace]] containing a given n-dimensional hyperspace, where 0 ≤ n < m < k. Obviously, radial slices only exist for shapes of two dimensions or higher. | A '''radial slice''' of a k-dimensional [[shape]] is the [[BSM]] [[intersection]] of that shape with a m-dimensional [[hyperspace]] containing a given n-dimensional hyperspace, where 0 ≤ n < m < k. Obviously, radial slices only exist for shapes of two dimensions or higher. | ||
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A radial slice can be defined with the notation ''a'':''b'', where ''a'' is the definition of the n-space and ''b'' is the definition of the m-space. Also, a set of radial slices can be defined with the same notation, but where ''b'' is now the definition of the m-space with the zero angle. | A radial slice can be defined with the notation ''a'':''b'', where ''a'' is the definition of the n-space and ''b'' is the definition of the m-space. Also, a set of radial slices can be defined with the same notation, but where ''b'' is now the definition of the m-space with the zero angle. | ||
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Latest revision as of 22:56, 11 February 2014
A radial slice of a k-dimensional shape is the BSM intersection of that shape with a m-dimensional hyperspace containing a given n-dimensional hyperspace, where 0 ≤ n < m < k. Obviously, radial slices only exist for shapes of two dimensions or higher.
Usually, a "zero angle" is set for a shape and a particular n-space, and its radial slices can then be indexed by the angle between a given radial slice and the zero angle.
A radial slice can be defined with the notation a:b, where a is the definition of the n-space and b is the definition of the m-space. Also, a set of radial slices can be defined with the same notation, but where b is now the definition of the m-space with the zero angle.
