 The snub tetrahedral prism (also called an icosahedral prism), , sr{3,3}×{ }, is related to this polytope just like a snub tetrahedron (icosahedron), is the alternation of the truncated octahedron in its tetrahedral symmetry .The "snub tetrahedral prism" has symmetry [(3,3)+,2], order 24, although as an icosahedral prism, its full symmetry is [5,3,2], order 240.Also related, the full snub tetrahedral antiprism or omnisnub tetrahedral antiprism is defined as an alternation of an omnitruncated tetrahedral prism, represented by formula_1 = ht0,1,2,3{3,3,2}, or , although it cannot be constructed as a uniform 4-polytope.