Convex polyhedra with parquet faces

A study was conducted to demonstrate the construction of convex polyhedra with parquet faces. Applications of regular hedra and the influence of applications on the development of the theory of polyhedra were addressed. The algorithm used to produce each composite polyhedron involved a linear representation of the symmetry group of its constituent regular hedra and coordinate triples of fundamental vertices of these regular hedra specified as elements of an algebraic extension of the field of rational numbers. It was convenient to consider its skeleton in the form of an algebraic model whose support consisted of the vertex set and whose relation set was composed of the edges.