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 Total Surface Area of Truncated Icosahedron given Volume?
Total Surface Area of Truncated Icosahedron given Volume calculator uses Total Surface Area of Truncated Icosahedron = 3*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))) to calculate the Total Surface Area of Truncated Icosahedron, Total Surface Area of Truncated Icosahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron, and calculated using the volume of the Truncated Icosahedron. Total Surface Area of Truncated Icosahedron is denoted by TSA symbol.
How to calculate Total Surface Area of Truncated Icosahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Truncated Icosahedron given Volume, enter Volume of Truncated Icosahedron (V) and hit the calculate button. Here is how the Total Surface Area of Truncated Icosahedron given Volume calculation can be explained with given input values -> 7235.512 = 3*((4*55000)/(125+(43*sqrt(5))))^(2/3)*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))).