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geom3d

 IsArchimedean
 test if the given polyhedron is an Archimedean solid

 Calling Sequence IsArchimedean(ngon)

Parameters

 ngon - polyhedron

Description

 • The routine IsArchimedean returns true if the given polyhedron is an Archimedean solid; false otherwise.
 • The command with(geom3d,IsArchimedean) allows the use of the abbreviated form of this command.

Examples

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

Define a rhombicuboctahedron (or truncated cuboctahedron) with center (0,0,0), radius 1

 > $\mathrm{Archimedean}\left(r,\mathrm{_t}\left(\left[\left[3\right],\left[4\right]\right]\right),\mathrm{point}\left(o,0,0,0\right),1\right)$
 ${r}$ (1)
 > $\mathrm{IsArchimedean}\left(r\right)$
 ${\mathrm{true}}$ (2)

Plotting:

 > $\mathrm{draw}\left(r,\mathrm{style}=\mathrm{patch},\mathrm{lightmodel}=\mathrm{light4},\mathrm{title}=\mathrm{truncated cuboctahedron}\right)$