A chamfered icosahedron, also called a tritruncated rhombic triacontahedron, is a polyhedron obtained by chamfering a regular icosahedron. The illustration above shows increasing amounts of chamfering applied to the regular icosahedron.
An equilateral chamfered icosahedron may be constructed by appropriate choice of the edge length ratio for chamfering. The unit equilateral chamfered icosahedron has surface area given by the root on an 8th-order polynomial, volume
and is implemented in the Wolfram Language as PolyhedronData["EquilateralChamferedIcosahedron"].