Copy and alter your class $$polygon$$ to create a new class$3,$polygon$3$d$,$ that can initialise,

store and print any shape $$ regular or irregular $$ in Three$-$Dimensional $(3$D$)$ space. Get rid of the

member variable for radius, which is no longer meaningful, and alter the constructor function so that it

now directly accepts and store the coordinates of the vertices. Delete N too. Don$$t make other changes

yet.

$2)$ Rotation and translation need not be defined in polygon$3$d$.$ Therefore, turn the functions for

translation and rotation into pure virtual members, making polygon$3$d into an abstract base class.

Convert the private members of polygon$3$d into $$protected$$ members to allow a layer of inheritance.

$3)$ Create three new classes publicly inherited from polygon$3$d$,$ called polygon$\_$xy$,$ polygon$\_$xz

and polygon$\_$yz$.$ Each class must only be able to perform rotations and translations in its own active

set of planes $($defined by xy$,$ xz or yz$).$ You should achieve this by overriding polygon$3$d$$s translation $/$

rotation functions in each inherited class.

$$ E$.$g$.$ objects of the polygon$\_$xy class can be translated by $(1,2,0)$ but not by $(1,2,5),$ since this would involve

an alteration of the z$-$coordinates i$.$e$.$movement$$ in a plane other than an xy plane.

$$ E$.$g$.$ objects of the polygon$\_$xy class can only be rotated in an xy plane $$ again, z$-$coordinates can$$t be

altered by rotations, since this would entail $$movement$$ in a plane other than an xy plane.

$$ Similar rules apply for polygon$\_$xz and polygon$\_$yz in accordance with the planes given in their name