## A Quintic with 15 Cusps

The quintic with 15 cusps is a so-called world record surface: To our knowledge, it is not known if there may be a quintic with more than 15 cusps although it is known that a quintic cannot have more than 20 cusps.

The quintic with 15 cusps is a so-called world record surface: To our knowledge, it is not known if there may be a quintic with more than 15 cusps although it is known that a quintic cannot have more than 20 cusps.

The complete series of 45 types of cubic surfaces with only finitely many singularities and lines. We provide links to put a complete set of several cubic surface models into your shopping cart.

The gyroid is a modern classic. It is a so-called minimal surface. Our object is an approximation of it in terms of sine and cosine. This one shows more tunnels than our other version.

The Moebius Strip is a mathematical classic, and even for rings it has been used for many decades at least. Our version of the Moebius Strip pendant, however, is special. Its shape is defined by a mathematical formula!

A math vase of degree 3 without bottom. It has been created by rotating a graph of a polynomial of degree 3 about an axis.

A math vase of degree 3. It has been creating by rotating a graph of a polynomial of degree 3 about an axis.

This space curve in a cube with projections (1b) is a math classic. Use a torch to compare the projections of the space curve (in the center) on a plane with the 3d-printed ones.

This space curve in a cube is a math classic. To view its projections on a plane, just take a torch (or your cell phone lamp).

A trefoil knot is the simplest non-trivial mathematical knot. It has been known for thousands of years.

The sculpture we present here is a 3D-printed modern object consisting of the 27 lines only, and a thin part of the surface as a border.