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geom3d

 vertices
 return the vertices of a polyhedron

 Calling Sequence vertices(obj)

Parameters

 obj - polyhedron

Description

 • The routine vertices returns a list of coordinates of vertices of the given polyhedron. It also returns the vertices of the vertex figure of a given polyhedron.
 • The command with(geom3d,vertices) allows the use of the abbreviated form of this command.

Examples

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

Define a tetrahedron with center (1,2,3), radius of the circumsphere 4

 > $\mathrm{tetrahedron}\left(t,\mathrm{point}\left(o,1,2,3\right),4\right)$
 ${t}$ (1)
 > $\mathrm{vertices}\left(t\right)$
 $\left[\left[\frac{{4}}{{3}}{}\sqrt{{3}}{+}{1}{,}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{2}{,}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{3}\right]{,}\left[\frac{{4}}{{3}}{}\sqrt{{3}}{+}{1}{,}{-}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{2}{,}{-}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{3}\right]{,}\left[{-}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{1}{,}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{2}{,}{-}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{3}\right]{,}\left[{-}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{1}{,}{-}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{2}{,}\frac{{4}}{{3}}{}\sqrt{{3}}{+}{3}\right]\right]$ (2)