Editing Tridiminished icosahedron (section)

== Construction ==
The tridiminished icosahedron can be constructed by removing three regular [[pentagonal pyramid]] from a [[regular icosahedron]].{{r|gailiunas}} The aftereffect of such construction leaves five [[equilateral triangle]]s and three [[regular pentagon]]s.{{r|berman}} Since all of its faces are [[regular polygon]]s and the resulting polyhedron remains [[convex set|convex]], the tridiminished icosahedron is a [[Johnson solid]], and it is enumerated as the sixty-third Johnson solid <math> J_{63} </math>.{{r|francis}} This construction is similar to other Johnson solids as in [[gyroelongated pentagonal pyramid]] and [[metabidiminished icosahedron]].{{r|gailiunas}}

The tridiminished icosahedron is [[non-composite polyhedron]], meaning it is convex polyhedron that cannot be separated by a plane into two or more [[regular polyhedron]]s.{{r|timofeenko-2009}}