What are Platonic Solids?
In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.
How to Calculate Face Area of Icosahedron given Space Diagonal?
Face Area of Icosahedron given Space Diagonal calculator uses Face Area of Icosahedron = sqrt(3)/4*((2*Space Diagonal of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^2 to calculate the Face Area of Icosahedron, The Face Area of Icosahedron given Space Diagonal formula is defined as the amount of space occupied on any one of the twelve triangular faces of an Icosahedron and is calculated using the space diagonal of the Icosahedron. Face Area of Icosahedron is denoted by A_{Face} symbol.
How to calculate Face Area of Icosahedron given Space Diagonal using this online calculator? To use this online calculator for Face Area of Icosahedron given Space Diagonal, enter Space Diagonal of Icosahedron (d_{Space}) and hit the calculate button. Here is how the Face Area of Icosahedron given Space Diagonal calculation can be explained with given input values -> 43.20512 = sqrt(3)/4*((2*19)/(sqrt(10+(2*sqrt(5)))))^2.