Constructing the polar cone of a convex polyhedral cone in $\mathbb{R}^3$

In the paper the problem of constructing the polar cone of an acute convex polyhedral cone is considered in three-dimensional Euclidean space. Using Householder transformation the considered cone is placed entirely in the upper half-space. Next on the plane $z=1$ the convex hull spanned by the points of intersection of the given ray of our cone with this plane is constructed. As a result of the sorting algorithm the vertices of the convex hull and the sequence of extreme rays of given cone are determined. After projecting the point $(0,0,1)$ lying the $z$-axis onto the corresponding face the extreme rays of the polar cone are found. Using the Householder transformation again the required cone is obtained. Bibliogr. 9.