This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 BUILT-IN MATHEMATICA SYMBOL

# ReflectionMatrix

 ReflectionMatrix[v] gives the matrix that represents reflection of points in a mirror normal to the vector v.
• The reflection is in a mirror that goes through the origin.
• ReflectionMatrix works in any number of dimensions. In 2D it reflects in a line; in 3D it reflects in a plane.
Reflect along the axis, or equivalently reflect in the axis:
Reflect along the vector or equivalently in the plane given by :
Reflect along the axis, or equivalently reflect in the axis:
 Out[1]//MatrixForm=
 Out[2]=

Reflect along the vector or equivalently in the plane given by :
 Out[1]//MatrixForm=
 Scope   (4)
Reflect along the vector or equivalently in the plane given by :
Points in the reflection plane remain fixed:
Points outside the reflection plane get reflected in the plane:
Reflection matrix for symbolic unit vector :
Vectors normal to remain unchanged:
Transformation applied to a 2D shape:
Transformation applied to a 3D shape:
 Applications   (1)
Flipping a surface:
The determinant of a reflection matrix is :
The inverse of a reflection matrix is the matrix itself:
Reflection can be thought of as a special case of scaling:
Reflection changes the orientation of polygons:
Reflections of a cuboid in vertical planes:
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