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geom3d[RotatoryReflection] - find the rotatory-reflection of a geometric object.
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Calling Sequence
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RotatoryReflection(Q, P, p, theta, l)
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Parameters
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Q
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the name of the object to be created
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P
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geometric object
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p
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plane of reflection
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theta
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angle of rotation
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l
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the axis of rotation
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Description
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A rotatory-reflection is the product of a reflection in a plane and a rotation about a fixed axis perpendicular to the plane.
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For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))
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The command with(geom3d,RotatoryReflection) allows the use of the abbreviated form of this command.
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Examples
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![plane(p, [B, C, E]), line(l, [B, NormalVector(p)])](/support/helpjp/helpview.aspx?si=5973/file03991/math109.png)
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Define the rotatory-reflection in the plane p about angle Pi/4 with respect to l
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![[(1/2)*2^(1/2)+1, (1/2)*2^(1/2), -1]](/support/helpjp/helpview.aspx?si=5973/file03991/math125.png)
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Define the inverse transformation
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Checking:
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![[1, 1, 1] = [1, 1, 1]](/support/helpjp/helpview.aspx?si=5973/file03991/math143.png)
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