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 Midsphere Radius of Truncated Icosahedron given Total Surface Area?
Midsphere Radius of Truncated Icosahedron given Total Surface Area calculator uses Midsphere Radius of Truncated Icosahedron = (3*(1+sqrt(5)))/4*sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))) to calculate the Midsphere Radius of Truncated Icosahedron, Midsphere Radius of Truncated Icosahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Truncated Icosahedron become a tangent line on that sphere, and calculated using the total surface area of the Truncated Icosahedron. Midsphere Radius of Truncated Icosahedron is denoted by rm symbol.
How to calculate Midsphere Radius of Truncated Icosahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Truncated Icosahedron given Total Surface Area, enter Total Surface Area of Truncated Icosahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Truncated Icosahedron given Total Surface Area calculation can be explained with given input values -> 24.33606 = (3*(1+sqrt(5)))/4*sqrt(7300/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))).