What is a truncated dodecahedron?
In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. 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 Circumradius of Truncated Dodecahedron given surface to volume ratio?
Circumradius of Truncated Dodecahedron given surface to volume ratio calculator uses circumradius = (((12*(sqrt(3)+(6*(sqrt(5)+(2*sqrt(5))))))/(Surface to Volume Ratio*((99+(47*sqrt(5))))))/4)*(sqrt(74+(30*sqrt(5)))) to calculate the Circumradius, The Circumradius of Truncated Dodecahedron given surface to volume ratio formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= truncated dodecahedron edge (a). Circumradius and is denoted by r_{c} symbol.
How to calculate Circumradius of Truncated Dodecahedron given surface to volume ratio using this online calculator? To use this online calculator for Circumradius of Truncated Dodecahedron given surface to volume ratio, enter Surface to Volume Ratio (R_{AV}) and hit the calculate button. Here is how the Circumradius of Truncated Dodecahedron given surface to volume ratio calculation can be explained with given input values -> 14.65919 = (((12*(sqrt(3)+(6*(sqrt(5)+(2*sqrt(5))))))/(0.5*((99+(47*sqrt(5))))))/4)*(sqrt(74+(30*sqrt(5)))).