## A trefoil knot pendant

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

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

Cubic surfaces are a math model classic from the 19th century. We provide one of our favourite examples (cubic surface KM 42) in the form of a pendant.

At first sight, our speed curve pendant might seem to consist of some arbitrary wire. But this is not true at all. Almost every detail is defined by mathematical formulas.

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.

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 visualizes a 1-parameter family of cubic functions or a 3d graph of a function in one variable in a 3d-coordinate system.

It was back in the 1872 Göttingen, Germany, at a meeting of the scientific society. Alfred Clebsch and Felix Klein each presented a model of a cubic surface. Our modern versions of these historical - nowadays quite famous - sculptures are the main figures in our photo.

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 Barth Sextic is probably the most famous example of the sometimes so-called world record surfaces. This post shows a smoothed variant of it.