Triakis icosahedron

Triakis icosahedron
Type	Catalan solid Kleetope
Faces	60 isosceles triangles
Edges	90
Vertices	32
Symmetry group	Icosahedral symmetry ${\displaystyle \mathrm {I} _{\mathrm {h} }}$
Dihedral angle (degrees)	160°36'45.188"
Dual polyhedron	truncated dodecahedron
Properties	convex face-transitive
Net

In geometry, the triakis icosahedron is an Archimedean dual solid, or a Catalan solid, with 60 isosceles triangle faces. Its dual is the truncated dodecahedron. It has also been called the kisicosahedron. It was first depicted, in a non-convex form with equilateral triangle faces, by Leonardo da Vinci in Luca Pacioli's Divina proportione, where it was named the icosahedron elevatum. The capsid of the Hepatitis A virus has the shape of a triakis icosahedron.