Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

AffineHalfSpace

AffineHalfSpace[{p1,,pk+1},w]
represents AffineSpace[{p1,,pk+1}] extended in the direction w.

AffineHalfSpace[p,{v1,,vk},w]
represents AffineSpace[p,{v1,,vk}] extended in the direction w.

DetailsDetails

• AffineHalfSpace can be used as a geometric region and graphics primitive.
• AffineHalfSpace represents the region or . The dimension is if the pi are affinely independent or the vi are linearly independent.
• AffineHalfSpace can be used in Graphics and Graphics3D.
• AffineHalfSpace will be clipped by PlotRange when rendering.
• Graphics rendering is affected by directives such as Opacity and color as well as:
•  Thickness,Dashing 1-dimensional () FaceForm 2-dimensional ()
• For a two-dimensional AffineSpace, FaceForm[front,back] can be used to specify different styles for the front and back, where the front is defined to be in the direction of the normal Cross[v1,v2] or Cross[p2-p1,p3-p1], depending on which input form is used.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

An AffineHalfSpace in 2D:

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And in 3D:

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Different styles applied to an affine half-space region:

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Determine if points belong to a given affine half-space region:

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