Radial slice (ConceptTopic, 4)

From Hi.gher. Space

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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.
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.
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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.
[[Category:Geometric properties]]
[[Category:Geometric properties]]

Revision as of 07:33, 25 June 2007

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.