What is a Snub Dodecahedron?
In geometry, the Snub Dodecahedron, or snub icosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal non-prismatic solids constructed by two or more types of regular polygon faces. The Snub Dodecahedron has 92 faces (the most of the 13 Archimedean solids): 12 are pentagons and the other 80 are equilateral triangles. It also has 150 edges, and 60 vertices. Each vertex is identical in such a way that, 4 equilateral triangular faces and 1 pentagonal face are joining together at each vertex. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two Snub Dodecahedra, and the convex hull of both forms is a truncated icosidodecahedron.
How to Calculate Edge Length of Snub Dodecahedron given Surface to Volume Ratio?
Edge Length of Snub Dodecahedron given Surface to Volume Ratio calculator uses Edge Length of Snub Dodecahedron = (((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*6*(3-(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)^(3/2))/(Surface to Volume Ratio of Snub Dodecahedron*(((12*((3*[phi])+1))*((([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)-(((36*[phi])+7)*(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))))-((53*[phi])+6))) to calculate the Edge Length of Snub Dodecahedron, Edge Length of Snub Dodecahedron given Surface to Volume Ratio formula is defined as the length of any edge of the Snub Dodecahedron, and calculated using the surface to volume of the Snub Dodecahedron. Edge Length of Snub Dodecahedron is denoted by le symbol.
How to calculate Edge Length of Snub Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Snub Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Snub Dodecahedron (RA/V) and hit the calculate button. Here is how the Edge Length of Snub Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 7.348707 = (((20*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*6*(3-(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)^(3/2))/(0.2*(((12*((3*[phi])+1))*((([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))^2)-(((36*[phi])+7)*(([phi]/2+sqrt([phi]-5/27)/2)^(1/3)+([phi]/2-sqrt([phi]-5/27)/2)^(1/3))))-((53*[phi])+6))).