## A 3d graph of a cubic function

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

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
2017-11-11T20:06:03+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|

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.

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.

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