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geom3d

 IsQuasi
 test if the given polyhedron is quasi-regular

 Calling Sequence IsQuasi(ngon)

Parameters

 ngon - polyhedron

Description

 • The routine IsQuasi returns true if the given polyhedron is a quasi-regular; false otherwise.
 • The command with(geom3d,IsQuasi) allows the use of the abbreviated form of this command.

Examples

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

Define an icosidodecahedron with center (0,0,0), radius or the in-sphere 1

 > $\mathrm{icosidodecahedron}\left(\mathrm{ic},\mathrm{point}\left(o,0,0,0\right),1\right)$
 ${\mathrm{ic}}$ (1)
 > $\mathrm{IsQuasi}\left(\mathrm{ic}\right)$
 ${\mathrm{true}}$ (2)

Note that ic is also an Archimedean solid

 > $\mathrm{IsArchimedean}\left(\mathrm{ic}\right)$
 ${\mathrm{true}}$ (3)

Plotting:

 > $\mathrm{draw}\left(\mathrm{ic},\mathrm{style}=\mathrm{patch},\mathrm{lightmodel}=\mathrm{light3},\mathrm{orientation}=\left[-99,52\right],\mathrm{title}=\mathrm{icosidodecahedron}\right)$