What is a Truncated Icosidodecahedron?
In geometry, the Truncated Icosidodecahedron is an Archimedean solid, one of thirteen convex isogonal non-prismatic solids constructed by two or more types of regular polygon faces. It has 62 faces which include 30 squares, 20 regular hexagons and 12 regular decagons. Each vertex is identical in such a way that, one square, one hexagon and one decagon join at each vertex. It has the most edges and vertices of all Platonic and Archimedean solids, though the snub dodecahedron has more number of faces. Out of all vertex-transitive polyhedra, it occupies the largest percentage (89.80%) of the volume of a sphere in which it is inscribed, very narrowly beating the Snub Dodecahedron (89.63%) and Small Rhombicosidodecahedron (89.23%), and less narrowly beating the Truncated Icosahedron (86.74%).
How to Calculate Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius?
Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius calculator uses Midsphere Radius of Truncated Icosidodecahedron = sqrt(30+(12*sqrt(5)))*Circumsphere Radius of Truncated Icosidodecahedron/sqrt(31+(12*sqrt(5))) to calculate the Midsphere Radius of Truncated Icosidodecahedron, Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Truncated Icosidodecahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Truncated Icosidodecahedron. Midsphere Radius of Truncated Icosidodecahedron is denoted by rm symbol.
How to calculate Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Icosidodecahedron (rc) and hit the calculate button. Here is how the Midsphere Radius of Truncated Icosidodecahedron given Circumsphere Radius calculation can be explained with given input values -> 37.67003 = sqrt(30+(12*sqrt(5)))*38/sqrt(31+(12*sqrt(5))).