What is a Truncated Dodecahedron?
In geometry, the Truncated Dodecahedron is an Archimedean solid. It has a total of 32 faces - 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. Each vertex is identical in such a way that two decagonal faces and one triangular face join at each vertex. This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles. The Truncated Dodecahedron has five special orthogonal projections, centered, on a vertex, on two types of edges, and two types of faces: hexagonal and pentagonal.
How to Calculate Circumsphere Radius of Truncated Dodecahedron given Midsphere Radius?
Circumsphere Radius of Truncated Dodecahedron given Midsphere Radius calculator uses Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))*Midsphere Radius of Truncated Dodecahedron/(5+(3*sqrt(5))) to calculate the Circumsphere Radius of Truncated Dodecahedron, Circumsphere Radius of Truncated Dodecahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Truncated Dodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Truncated Dodecahedron. Circumsphere Radius of Truncated Dodecahedron is denoted by rc symbol.
How to calculate Circumsphere Radius of Truncated Dodecahedron given Midsphere Radius using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Dodecahedron given Midsphere Radius, enter Midsphere Radius of Truncated Dodecahedron (rm) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Dodecahedron given Midsphere Radius calculation can be explained with given input values -> 29.42006 = sqrt(74+(30*sqrt(5)))*29/(5+(3*sqrt(5))).