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In translation, the set S of all points of unextended space is mapped onto itself by carrying each point P of S into a point P1 such that the directed segment PP1 is equal and parallel to a given directed segment AB.

The directed segment AB is called the vector of the translation.

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

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

$\mathrm{stellate}\left(\mathrm{ico1}\,\mathrm{icosahedron}\left(\mathrm{ico}\,\mathrm{point}\left(o\,0\,0\,0\right)\,1\right)\,20\right)$

$\mathrm{ico1}$

$\mathrm{dsegment}\left(\mathrm{AB}\,\mathrm{point}\left(A\,0\,0\,0\right)\,\mathrm{point}\left(B\,5\,0\,0\right)\right)\:$

$\mathrm{translation}\left(\mathrm{ico2}\,\mathrm{ico1}\,\mathrm{AB}\right)$

$\mathrm{ico2}$

$\mathrm{draw}\left(\left[\mathrm{ico1}\,\mathrm{ico2}\right]\,\mathrm{style}=\mathrm{patch}\,\mathrm{orientation}=\left[0\,32\right]\,\mathrm{lightmodel}=\mathrm{light4}\,\mathrm{title}=\mathrm{`translation\; of\; a\; stellated\; icosahedron`}\right)$