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 Volume of Truncated Icosahedron given Circumsphere Radius?
Volume of Truncated Icosahedron given Circumsphere Radius calculator uses Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*((4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))))^3 to calculate the Volume of Truncated Icosahedron, Volume of Truncated Icosahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosahedron, and calculated using the circumsphere radius of the Truncated Icosahedron. Volume of Truncated Icosahedron is denoted by V symbol.
How to calculate Volume of Truncated Icosahedron given Circumsphere Radius using this online calculator? To use this online calculator for Volume of Truncated Icosahedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Icosahedron (rc) and hit the calculate button. Here is how the Volume of Truncated Icosahedron given Circumsphere Radius calculation can be explained with given input values -> 56772.12 = (125+(43*sqrt(5)))/4*((4*25)/(sqrt(58+(18*sqrt(5)))))^3.