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 is priced to compete with natural stone or quartz surfacing. It is available in many colors and patterns. The material can be formed to shape, which makes it appealing to commercial and industrial designers. Specialist fabricators possess the skills and knowledge necessary to provide advice and customer service. Certain high-heat applications (anything above 400 F /200 C) are discouraged, due to the danger of cracking. Because scratches in solid surface appear white to the human eye, most dark colors are not recommended for high use areas. Solid surface Solid surface is a man-made material usually composed of a combination of