Editing Snub cube (section)

== Properties ==
[[File:Snub cube.stl|thumb|3D model of a snub cube]]
For a snub cube with edge length <math>a</math>, its surface area and volume are:{{r|berman}}
<math display="block"> \begin{align}
 A &= \left(6+8\sqrt{3}\right)a^2 &\approx 19.856a^2 \\
 V &= \frac{8t+6}{3\sqrt{2(t^2-3)}}a^3 &\approx 7.889a^3.
\end{align}</math>

The snub cube is an [[Archimedean solid]], meaning it is a highly symmetric and semi-regular polyhedron, and two or more different regular polygonal faces meet in a vertex.{{r|diudea}} It is [[Chirality (mathematics)|chiral]], meaning there are two distinct forms whenever being [[Mirror image|mirrored]]. Therefore, the snub cube has the rotational [[octahedral symmetry]] <math> \mathrm{O} </math>.{{r|kocakoca|cromwell}} The polygonal faces that meet for every vertex are four equilateral triangles and one square, and the [[vertex figure]] of a snub cube is <math> 3^4 \cdot 4 </math>. The [[dual polyhedron]] of a snub cube is [[pentagonal icositetrahedron]], a [[Catalan solid]].{{r|williams}}