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 Edge Length of Icosahedron given Insphere Radius?
Edge Length of Icosahedron given Insphere Radius calculator uses Edge Length of Icosahedron = (12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))) to calculate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Insphere Radius formula is defined as the length of any of the edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron and is calculated using the insphere radius of the Icosahedron. Edge Length of Icosahedron is denoted by l_{e} symbol.
How to calculate Edge Length of Icosahedron given Insphere Radius using this online calculator? To use this online calculator for Edge Length of Icosahedron given Insphere Radius, enter Insphere Radius of Icosahedron (r_{i}) and hit the calculate button. Here is how the Edge Length of Icosahedron given Insphere Radius calculation can be explained with given input values -> 9.262184 = (12*7)/(sqrt(3)*(3+sqrt(5))).