An algebraic surface is essentially a surface whose equation is a polynomial in three variables (typically x, y, and z).
Judging from Zeppelinand Zweiloch, our curator must be German. My favorites are the Dromedar and the Wigwam. Clicking on an image gives you a better look.
It’s interesting that Mobius, Wendel, and Croissant have no corresponding equation listed. Are these not algebraic surfaces?