Platonic solid the inradius "r". That is, The following table lists the various radii of the Platonic solids together with their surface area and volume. The overall size is fixed by taking the edge length, "a", to be equal to 2. The constants "φ" and "ξ" in the above are given by Among the Platonic solids, either the dodecahedron or the icosahedron may be seen as the best approximation to the sphere. The icosahedron has the largest number of faces and the largest dihedral angle, it hugs its inscribed sphere the most tightly, and its surface area to volume ratio is closest
Solid surface the cured joint is machined flat. The same method is used to build up edge thickness, which can be profiled using tools and techniques similar to those used to work hardwoods. A major appeal of solid surface is its impermeability. Solid surface sinks can be joined to the countertop surface with no gaps, which eliminates areas for water to collect and bacteria to grow. Integral backsplashes can also be created that follow the contours of the wall “seamlessly” and without gaps. Should the material become scratched or broken, solid surface can, in most cases, be repaired quickly by a certified