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 Circumsphere Radius of Truncated Icosidodecahedron given Total Surface Area?
Circumsphere Radius of Truncated Icosidodecahedron given Total Surface Area calculator uses Circumsphere Radius of Truncated Icosidodecahedron = sqrt(31+(12*sqrt(5)))/2*sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))) to calculate the Circumsphere Radius of Truncated Icosidodecahedron, Circumsphere Radius of Truncated Icosidodecahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Truncated Icosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Truncated Icosidodecahedron. Circumsphere Radius of Truncated Icosidodecahedron is denoted by rc symbol.
How to calculate Circumsphere Radius of Truncated Icosidodecahedron given Total Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Icosidodecahedron given Total Surface Area, enter Total Surface Area of Truncated Icosidodecahedron (TSA) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Icosidodecahedron given Total Surface Area calculation can be explained with given input values -> 37.55285 = sqrt(31+(12*sqrt(5)))/2*sqrt(17000/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))).