Cayley/Klein Cubic (KM 27), 4 singularities

This version of the cubic surface with four singularities (this is the maximum number possible on a cubic) is exceptional. It can only produced in the non-polished version of the "white, strong and flexible" material. The reason for this is that we performed many experiments in order to realize a version with 3d-prints well and which is stable enough. The polishing breaks the object at the singularities. 
Cubic Surfaces are the most classical mathematical models since the 1870s, and MO-Labs presented the first complete collection of all 45 types of cubic surfaces as classified by Schläfli in 1863 and in a more modern version by Knörrer and Miller in 1987. All equations of these surfaces were produced by us with the aim in mind to show all essential properties of the infinitely large abstract mathematical surface in a single real object: all its singularities and all straight lines on them.
In 2016, we created a second version of these models, series II. The main difference between this new series and the previous one is that the new objects are cut by a cylinder (and not by a ball) which makes them look much more elegant. The particular model shown here represents number 27 in this collection.