## The Clebsch diagonal surface: 27 lines only

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 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.

Oliver Labs
2017-03-27T09:14:04+00:00
Alfred Clebsch, all, Clebsch Diagonal Surface, strong and flexible|

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.

Oliver Labs
2017-03-27T09:23:51+00:00
all, curvature, exhibit "3d print studio" (2017-2018, at Cuyperhuis, Netherlands), for mathematicians, minimal surface, strong and flexible|

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

Oliver Labs
2017-03-30T09:01:05+00:00
3d-graph, all, cubic surfaces, exhibit "3d print studio" (2017-2018, at Cuyperhuis, Netherlands), strong and flexible|

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
2017-03-27T09:49:32+00:00
all, August Ferdinand Möbius, math sculptures in context, non-orientable surfaces, strong and flexible, Werner Boy|

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.

Oliver Labs
2017-03-27T10:17:22+00:00
45 cubics series II (cylinder cut), all, cubic surfaces, Ludwig Schläfli, strong and flexible|

Oliver Labs
2017-03-27T10:16:33+00:00
45 cubics series I (ball cut), all, cubic surfaces, exhibit "Forms and Formulas" (2012-2016, Lisbon), Ludwig Schläfli, strong and flexible|

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.

In the 19th century Sylvester described a surface for studying the number of real roots of a polynomial. Henrici later constructed a model of this. This is a modern version.

Oliver Labs
2017-03-27T09:54:29+00:00
all, discriminant surfaces, nonic surface (degree nine), strong and flexible|

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

Oliver Labs
2017-03-27T09:15:45+00:00
Alfred Clebsch, all, Carl Rodenberg, Clebsch Diagonal Surface, for mathematicians, Ludwig Schläfli, multiple color sandstone|

A Togliatti quintic surface is a so-called world record surface. Among all quintic surfaces, it has the maximum possible number of singularities, namely 31. Our model is a smoothed version of such a surface.

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