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 Circumsphere Radius of Icosahedron given Face Perimeter?
Circumsphere Radius of Icosahedron given Face Perimeter calculator uses Circumsphere Radius of Icosahedron = sqrt(10+(2*sqrt(5)))*Face Perimeter of Icosahedron/12 to calculate the Circumsphere Radius of Icosahedron, The Circumsphere Radius of Icosahedron given Face Perimeter formula is defined as the radius of the sphere that contains the Icosahedron in such a way that all the vertices are lying on the sphere and is calculated using the face perimeter of the Icosahedron. Circumsphere Radius of Icosahedron is denoted by r_{c} symbol.
How to calculate Circumsphere Radius of Icosahedron given Face Perimeter using this online calculator? To use this online calculator for Circumsphere Radius of Icosahedron given Face Perimeter, enter Face Perimeter of Icosahedron (P_{Face}) and hit the calculate button. Here is how the Circumsphere Radius of Icosahedron given Face Perimeter calculation can be explained with given input values -> 9.510565 = sqrt(10+(2*sqrt(5)))*30/12.