Platonic solid to that of a sphere of the same size (i.e. either the same surface area or the same volume.) The dodecahedron, on the other hand, has the smallest angular defect, the largest vertex solid angle, and it fills out its circumscribed sphere the most. Every polyhedron has a dual (or "polar") polyhedron with faces and vertices interchanged. The dual of every Platonic solid is another Platonic solid, so that we can arrange the five solids into dual pairs. If a polyhedron has Schläfli symbol {"p", "q"}, then its dual has the symbol {"q", "p"}. Indeed, every combinatorial property of one
Solid surface then injected into the cavity of the mould. Many finishes are available including, gel coated, matte, gloss, metallic and textured. A "surface fabricator" shapes and installs functional and decorative surfaces, usually in buildings. Surface fabrication, as a distinct professional enterprise, usually involves complex tasks of surface shaping. A leading case is countertop fabrication. For interior spaces, surfaces include solid coverings or decking for floors or walls, and countertops for kitchens, bathrooms, and workspaces. Natural surfaces are composed of naturally occurring materials like wood, stone, mineral, clay, gum and resin. Synthetic surfaces contain, in addition to any natural materials, man-made substances