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 solid surface repair company or trained fabricator. Cracked sinks can be replaced as well. Because the surface is solid throughout, a countertop that has undergone years of wear and tear can be refinished. The installed product is available in a variety of finishes, ranging from matte to high-gloss, although most manufacturers recommend a matte or satin finish for ease of maintenance. Solid surface is available in hundreds of colors and visual textures, ranging from solid colors to sparkling, marbleized, or granite effect. Dozens of multinational companies manufacture solid surface sheet goods and sinks for the world market; and hundreds of