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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.

For a detailed description of Q (the object created), use the routine detail (i.e., detail(Q))

The command with(geom3d,RotatoryReflection) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{geom3d}\right)\:$

$\mathrm{point}\left(A\,1\,1\,1\right),\mathrm{point}\left(B\,1\,0\,0\right),\mathrm{point}\left(C\,0\,1\,0\right),\mathrm{point}\left(E\,1\,1\,0\right)\:$

$\mathrm{plane}\left(p\,\left[B\,C\,E\right]\right),\mathrm{line}\left(l\,\left[B\,\mathrm{NormalVector}\left(p\right)\right]\right)\:$

$\mathrm{RotatoryReflection}\left(\mathrm{A1}\,A\,p\,\frac{\mathrm{\pi }}{4}\,l\right)$

$\mathrm{A1}$

$\mathrm{coordinates}\left(\mathrm{A1}\right)$

$\left[\frac{\sqrt{2}}{2}+1\,\frac{\sqrt{2}}{2}\,\mathrm{-1}\right]$

$\mathrm{RotatoryReflection}\left(\mathrm{A2}\,\mathrm{A1}\,p\,2\mathrm{\pi }-\frac{\mathrm{\pi }}{4}\,l\right)$

$\mathrm{A2}$

$\mathrm{coordinates}\left(A\right)=\mathrm{coordinates}\left(\mathrm{A2}\right)$

$\left[1\,1\,1\right]=\left[1\,1\,1\right]$