What is a Rhombicosidodecahedron?
In geometry, the Rhombicosidodecahedron, is an Archimedean solid, one of the 13 convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges. If you expand an icosahedron by moving the faces away from the origin the right amount, without changing the orientation or size of the faces, and do the same to its dual dodecahedron, and patch the square holes in the result, you get a Rhombicosidodecahedron. Therefore, it has the same number of triangles as an icosahedron and the same number of pentagons as a dodecahedron, with a square for each edge of either.
How to Calculate Midsphere Radius of Rhombicosidodecahedron given Total Surface Area?
Midsphere Radius of Rhombicosidodecahedron given Total Surface Area calculator uses Midsphere Radius of Rhombicosidodecahedron = sqrt(10+(4*sqrt(5)))/2*sqrt(Total Surface Area of Rhombicosidodecahedron/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))) to calculate the Midsphere Radius of Rhombicosidodecahedron, Midsphere Radius of Rhombicosidodecahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Rhombicosidodecahedron become a tangent line on that sphere, and calculated using the total surface area of the Rhombicosidodecahedron. Midsphere Radius of Rhombicosidodecahedron is denoted by rm symbol.
How to calculate Midsphere Radius of Rhombicosidodecahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Rhombicosidodecahedron given Total Surface Area, enter Total Surface Area of Rhombicosidodecahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Rhombicosidodecahedron given Total Surface Area calculation can be explained with given input values -> 21.7063 = sqrt(10+(4*sqrt(5)))/2*sqrt(5900/(30+(5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))).