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 Surface to Volume Ratio of Truncated Icosidodecahedron?
Surface to Volume Ratio of Truncated Icosidodecahedron calculator uses SA:V of Truncated Icosidodecahedron = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(Edge Length of Truncated Icosidodecahedron*(19+(10*sqrt(5)))) to calculate the SA:V of Truncated Icosidodecahedron, Surface to Volume Ratio of Truncated Icosidodecahedron formula is defined as the numerical ratio of the total surface area of a Truncated Icosidodecahedron to the volume of the Truncated Icosidodecahedron. SA:V of Truncated Icosidodecahedron is denoted by RA/V symbol.
How to calculate Surface to Volume Ratio of Truncated Icosidodecahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Truncated Icosidodecahedron, enter Edge Length of Truncated Icosidodecahedron (le) and hit the calculate button. Here is how the Surface to Volume Ratio of Truncated Icosidodecahedron calculation can be explained with given input values -> 0.105349 = (6*(1+sqrt(3)+sqrt(5+(2*sqrt(5)))))/(8*(19+(10*sqrt(5)))).