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 Midsphere Radius of Icosahedron given Circumsphere Radius?
Midsphere Radius of Icosahedron given Circumsphere Radius calculator uses Midsphere Radius of Icosahedron = (1+sqrt(5))*Circumsphere Radius of Icosahedron/(sqrt(10+(2*sqrt(5)))) to calculate the Midsphere Radius of Icosahedron, The Midsphere Radius of Icosahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Icosahedron become a tangent line on that sphere and is calculated using the circumsphere radius of the Icosahedron. Midsphere Radius of Icosahedron is denoted by r_{m} symbol.
How to calculate Midsphere Radius of Icosahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Icosahedron given Circumsphere Radius, enter Circumsphere Radius of Icosahedron (r_{c}) and hit the calculate button. Here is how the Midsphere Radius of Icosahedron given Circumsphere Radius calculation can be explained with given input values -> 7.655857 = (1+sqrt(5))*9/(sqrt(10+(2*sqrt(5)))).