A space homology is the product of a homothety and a rotation about an axis passing through the center of the homothety.

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

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

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

$\mathrm{tetrahedron}\left(\mathrm{p1}\,\mathrm{point}\left(\mathrm{ctr}\,0\,0\,0\right)\,1\right)$

$\mathrm{p1}$

$\mathrm{line}\left(m\,\left[0\,0\,t\right]\,t\right)$

$m$

$\mathrm{homology}\left(\mathrm{p2}\,\mathrm{p1}\,3\,\mathrm{ctr}\,\frac{\mathrm{\pi }}{2}\,m\right)$

$\mathrm{p2}$

$\mathrm{draw}\left(\left[\mathrm{p2}\,\mathrm{p1}\right]\,\mathrm{scaling}=\mathrm{constrained}\,\mathrm{style}=\mathrm{patch}\,\mathrm{transparency}=0.7\,\mathrm{orientation}=\left[0\,32\right]\,\mathrm{title}=\mathrm{`homology\; of\; a\; tetrahedron`}\right)$