## Four pillows meet pendant

The shape of our "four pillows meet pendant" is given by a single mathematical equation. Have you ever seen a pendant like this before?

The shape of our "four pillows meet pendant" is given by a single mathematical equation. Have you ever seen a pendant like this before?

Oliver Labs
2017-03-27T10:09:39+00:00
algebraic geometry, all, for art lovers, for mathematicians, for teachers, pendants, precious metal, precious plated metal|

Our "six pillows' secret pendant" is a very special piece of math jewelry. Its shape is given by a single equation. Have you ever seen a pendant like this before?

Oliver Labs
2017-03-27T10:06:20+00:00
algebraic geometry, all, for art lovers, for mathematicians, for teachers, pendants, precious metal, precious plated metal|

The photo shows a smoothed Kummer surface in steel (inflated with bronze). This post also features links to plastic versions of this shape. The Kummer surface is a classic from the 19th century; our model is a smoothed version of it.

This object looks like a piece of art. But in fact, it is "just" a mathematical curve, called 7/3 torus knot. Imagine a donut, and then tie a cord around it in some interesting way.

Oliver Labs
2017-03-27T09:58:19+00:00
all, curvature, exhibit "3d print studio" (2017-2018, at Cuyperhuis, Netherlands), for art lovers, for mathematicians, knots, speed curves series, strong and flexible|

Cubic surfaces are classics from the 19th century. This particular cubic is smooth and has tetrahedral symmetry. All 27 lines are real, but only 24 are visible in the model because 3 are infinitly far away.

This so-called Boy surface represents a fascinating example of a non-orientable surface. The first such surface was constructed by Werner Boy in his dissertation in 1902.

Oliver Labs
2017-02-16T13:21:05+00:00
all, for mathematicians, non-orientable surfaces, strong and flexible, Werner Boy|

In the 19th century, Olaus Henrici constructed a model of a quite symmetric cubic surface. This is a modern variant of it, allowing also to look "inside" of it from the bottom.

This version of Clebsch's famous diagonal surface model features colored lines and two additional planes. One intersects the surfaces in a line and a hyperbola, the another one in three lines.

Our modern version of Klein's historical cubic surface model with four singularities is the main figure in our photo from the series "math sculptures in context". It is the pure white version with its 9 straight lines.

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.

Oliver Labs
2017-02-16T13:23:24+00:00
Alfred Clebsch, all, Clebsch Diagonal Surface, discriminant surfaces, Felix Klein, math sculptures in context, strong and flexible|

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