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 injected into molds to produce various solid decorative design figures. Solid-surface manufacturing companies may be members of the trade organizations American Composites Manufacturers Association, ISFA (International Surface Fabricators Association, and ICPA (International Cast Polymer Association). These organizations identify the product under the "brand" of MasterCast Engineered Composites. Solid surface can also be moulded using dedicated moulds. For example free standing baths are manufactured using a 2-part mould tool which creates a cavity for the material to be poured into. Once the mould has been prepared for casting, the material is mixed and degassed in an automated casting machine. It is