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Compound of twenty triangular prisms
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<table><tbody><tr><th colspan="2">Compound of twenty triangular prisms</th></tr><tr><td colspan="2"></td></tr><tr><td>Type</td><td><a href="/facts/Uniform_polyhedron_compound/NxW4PHo5">Uniform compound</a></td></tr><tr><td>Index</td><td>UC33</td></tr><tr><td>Polyhedra</td><td>20 <a href="/facts/Triangular_prism/Yjp4Kw9M">triangular prisms</a></td></tr><tr><td>Faces</td><td>40 <a href="/facts/Triangle/cRXUwsMn">triangles</a>, 60 <a href="/facts/Square_(geometry)/JHJeMvmL">squares</a></td></tr><tr><td>Edges</td><td>180</td></tr><tr><td>Vertices</td><td>60</td></tr><tr><td><a href="/facts/Symmetry_group/CNqeseMp">Symmetry group</a></td><td><a href="/facts/Icosahedral_symmetry/pDlwAy23">icosahedral</a> (<i>I</i>h)</td></tr><tr><td><a href="/facts/Subgroup/r91mBgpa">Subgroup</a> restricting to one constituent</td><td>3-fold <a href="/facts/Dihedral_symmetry_in_three_dimensions/xNRpsIAF">dihedral</a> (<i>D</i>3)</td></tr></tbody></table> <p>This <a href="/facts/Uniform_polyhedron_compound/NxW4PHo5">uniform polyhedron compound</a> is a symmetric arrangement of 20 <a href="/facts/Triangular_prism/Yjp4Kw9M">triangular prisms</a>, aligned in pairs with the axes of three-fold rotational symmetry of an <a href="/facts/Icosahedron/wWbpnDYp">icosahedron</a>. </p><p>It results from composing the two <a href="/facts/Enantiomorphs/FtKNlHTb">enantiomorphs</a> of the <a href="/facts/Compound_of_ten_triangular_prisms/erVQUyd9">compound of 10 triangular prisms</a>. In doing so, the vertices of the two enantiomorphs coincide, with the result that the full compound has two triangular prisms incident on each of its vertices. </p>