Rhombic Triacontahedron Area Calculator

Posted by Dinesh on

Calculate surface area of the rhombic triacontahedron by using simple geometry calculator online.

In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron. It is a zonohedron.

The rhombic triacontahedron is also interesting in that its vertices include the arrangement of four Platonic solids. It contains ten tetrahedra, five cubes, an icosahedron and a dodecahedron. The centers of the faces contain five octahedra.

Surface Area of the Rhombic Triacontahedron Calculation

Formula:

S=a2·12·5

where,

a = Edge length of the triacontahedron

S = Surface area of the triacontahedron