[img]http://mathworld.wolfram.com/bimg509.gif[img]
The Barth decic is a decic surface in complex three-dimensional projective space having the maximum possible number of ordinary double points (345). It is given by the implicit equation




where is the golden ratio and w is a parameter (Endraß, Nordstrand), taken as w = 1 in the above plot. The Barth decic is invariant under the icosahedral group.