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Square antiprism
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<table><tbody><tr><th colspan="2">Uniform square antiprism</th></tr><tr><td colspan="2"></td></tr><tr><td>Type</td><td><a href="/facts/Prismatic_uniform_polyhedron/MBJwRJxB">Prismatic uniform polyhedron</a></td></tr><tr><td><a href="/facts/Euler_characteristic/JCjzWUr2">Elements</a></td><td><i>F</i> = 10, <i>E</i> = 16<i>V</i> = 8 (χ = 2)</td></tr><tr><td>Faces by sides</td><td>8{3}+2{4}</td></tr><tr><td><a href="/facts/Schl%25C3%25A4fli_symbol/jNQR77UU">Schläfli symbol</a></td><td>s{2,8}sr{2,4}</td></tr><tr><td><a href="/facts/Wythoff_symbol/ECD0Wl5x">Wythoff symbol</a></td><td>| 2 2 4</td></tr><tr><td><a href="/facts/Coxeter_diagram/Ik6LmXJB">Coxeter diagram</a></td><td></td></tr><tr><td><a href="/facts/List_of_spherical_symmetry_groups/3X3YcHoQ">Symmetry group</a></td><td><a href="/facts/Dihedral_symmetry_in_three_dimensions/xNRpsIAF">D4d</a>, [2+,8], (2*4), order 16</td></tr><tr><td><a href="/facts/Point_groups_in_three_dimensions/Uc4MRIyl">Rotation group</a></td><td>D4, [4,2]+, (442), order 8</td></tr><tr><td>References</td><td><a href="/facts/Uniform_polyhedron/PHnprqRC">U</a>77(b)</td></tr><tr><td><a href="/facts/Dual_polyhedron/rkIHbmAf">Dual</a></td><td><a href="/facts/Tetragonal_trapezohedron/Lnv7NUfC">Tetragonal trapezohedron</a></td></tr><tr><td>Properties</td><td><a href="/facts/Convex_set/vdAuJRJl">convex</a></td></tr><tr><td colspan="2"><a href="/facts/Vertex_configuration/wWaBS6t0">Vertex figure</a>3.3.3.4</td></tr></tbody></table> <p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, the square antiprism is the second in an infinite family of <a href="/facts/Antiprism/FgP5jIVd">antiprisms</a> formed by an <a href="/facts/Even_number/7zq2UM4V">even-numbered</a> sequence of triangle sides closed by two <a href="/facts/Polygon/yAq7RjPz">polygon</a> caps. It is also known as an <i>anticube</i>. </p><p>If all its faces are <a href="/facts/Regular_polygon/ws89Nhpt">regular</a>, it is a <a href="/facts/Semiregular_polyhedron/fHygpjHu">semiregular polyhedron</a> or <a href="/facts/Uniform_polyhedron/PHnprqRC">uniform polyhedron</a>. </p><p>A nonuniform <i>D</i>4-symmetric variant is the cell of the <a href="/facts/Noble_polyhedron/AkbkkA02">noble</a> square antiprismatic 72-cell. </p>