A glide-reflection is the product of a reflection in a plane p and a translation of directed segment AB, where AB lies in the plane.

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

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

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

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

$\mathrm{line}\left(\mathrm{l1}\,\left[F\,A\right]\right),\mathrm{line}\left(\mathrm{l2}\,\left[F\,B\right]\right),\mathrm{plane}\left(p\,\left[\mathrm{l1}\,\mathrm{l2}\right]\right)\:$

$\mathrm{point}\left(C\,1\,1\,0\right),\mathrm{triangle}\left(\mathrm{T1}\,\left[A\,B\,C\right]\right)\:$

$\mathrm{dsegment}\left(\mathrm{AB}\,\left[A\,B\right]\right)\:$

$$\begin{gathered} \mathbf{for}i\mathbf{from}2\mathbf{to}5\mathbf{do} \\ \mathrm{GlideReflection}\left(T\Vert i\,T\Vert \left(i-1\right)\,p\,\mathrm{AB}\right) \\ \mathbf{end}\mathbf{do} \end{gathered}$$

$\mathrm{T5}$

$\mathrm{draw}\left(\left\{\mathrm{seq}\left(T\Vert i\,i=1..5\right)\right\}\,\mathrm{scaling}=\mathrm{constrained}\,\mathrm{style}=\mathrm{patch}\,\mathrm{title}=\mathrm{`Glide\; Reflection`}\right)$