What is Truncated Icosahedron and its applications?
In geometry, the Truncated Icosahedron is an Archimedean solid, one of 13 convex isogonal non-prismatic solids whose faces are two or more types of regular polygons. It has a total of 32 faces which include 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges. It is the Goldberg polyhedron GPV(1,1) or {5+,3}1,1, containing pentagonal and hexagonal faces. This geometry is associated with footballs (soccer balls) typically patterned with white hexagons and black pentagons. Geodesic domes such as those whose architecture Buckminster Fuller pioneered are often based on this structure. It also corresponds to the geometry of the fullerene C60 ("buckyball") molecule. It is used in the cell-transitive hyperbolic space-filling tessellation, the bi-truncated order-5 dodecahedral honeycomb.
How to Calculate Circumsphere Radius of Truncated Icosahedron given Surface to Volume Ratio?
Circumsphere Radius of Truncated Icosahedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Truncated Icosahedron = sqrt(58+(18*sqrt(5)))*(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Surface to Volume Ratio of Truncated Icosahedron*(125+(43*sqrt(5)))) to calculate the Circumsphere Radius of Truncated Icosahedron, Circumsphere Radius of Truncated Icosahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Truncated Icosahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Truncated Icosahedron. Circumsphere Radius of Truncated Icosahedron is denoted by rc symbol.
How to calculate Circumsphere Radius of Truncated Icosahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Icosahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Truncated Icosahedron (RA/V) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Icosahedron given Surface to Volume Ratio calculation can be explained with given input values -> 32.54287 = sqrt(58+(18*sqrt(5)))*(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(0.1*(125+(43*sqrt(5)))).