The homothety command is a special case of the plottools[scale] command where the ratios of the scaling with respect to the axis are the same.

There are several other commands in the plottools package that transform plots, and these are listed in the plottools help page. The plots[changecoords] and plots[display] commands can also be used to transform plots.

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

$\mathrm{icosahedron}\left(\mathrm{p1}\,\mathrm{point}\left(o\,0\,0\,0\right)\,1\right)\:$

$\mathrm{stellate}\left(\mathrm{p2}\,\mathrm{p1}\,10\right)\:$

$p≔\mathrm{draw}\left(\mathrm{p2}\right)\:$

$q≔\mathrm{plottools}\left[\mathrm{homothety}\right]\left(p\,3\right)\:$

$\mathrm{plots}\left[\mathrm{display}\right]\left(\left[p\,q\right]\,\mathrm{scaling}=\mathrm{constrained}\,\mathrm{lightmodel}=\mathrm{light4}\,\mathrm{orientation}=\left[0\,32\right]\right)$