Icosikaitesagonal

Icosikaitesagonal is a term used in geometry to describe a polyhedron with 28 faces, where each face is an isosceles triangle. The prefix "icosi-" signifies 28, and "kaitesagonal" refers to the isosceles triangular faces. This polyhedron is a member of the Johnson solids, a group of convex polyhedra that are not uniform or Platonic solids. The icosikaitesagonal is constructed by truncating the vertices of a regular dodecahedron, resulting in a polyhedron with 28 isosceles triangular faces, 60 edges, and 42 vertices. Its symmetry group is the icosahedral group, which is the same as that of the regular dodecahedron. The icosikaitesagonal is notable for its unique geometric properties and its relationship to the regular dodecahedron. It is a fascinating example of a polyhedron that combines elements of both regular and irregular polyhedra.