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 Surface to Volume Ratio of Truncated Icosahedron?
Surface to Volume Ratio of Truncated Icosahedron calculator uses Surface to Volume Ratio of Truncated Icosahedron = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(Edge Length of Truncated Icosahedron*(125+(43*sqrt(5)))) to calculate the Surface to Volume Ratio of Truncated Icosahedron, Surface to Volume Ratio of Truncated Icosahedron formula is defined as the numerical ratio of the total surface area of a Truncated Icosahedron to the volume of the Truncated Icosahedron. Surface to Volume Ratio of Truncated Icosahedron is denoted by RA/V symbol.
How to calculate Surface to Volume Ratio of Truncated Icosahedron using this online calculator? To use this online calculator for Surface to Volume Ratio of Truncated Icosahedron, enter Edge Length of Truncated Icosahedron (le) and hit the calculate button. Here is how the Surface to Volume Ratio of Truncated Icosahedron calculation can be explained with given input values -> 0.131326 = (12*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))/(10*(125+(43*sqrt(5)))).