The peninsula surface is the quintic surface given
by the equation
It was considered by S. Plouffe (pers. comm., Dec. 21, 1998). The sofa surface instead has equation and an isolated
singularity at the origin; the peninsula surface is
nonsingular.
Faber, E. and Hauser, H. "Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces." Bull. Amer. Math. Soc.47,
373-417, 2010. https://doi.org/10.1090/S0273-0979-10-01295-4.