algebraic geometry Archives – Page 2 of 3 – mathematical sculptures by MO-Labs

$MO-Labs 45 cubics series II at Strasbourg, France$

45 cubics, series II (cylinder cut), 12cm
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45 cubics, series II (cylinder cut), 12cm

45 cubics, series II (cylinder cut), 12cm

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 Labs2018-09-27T10:27:11+02:0045 cubics series II (cylinder cut), all, cubic surfaces, Ludwig Schläfli, strong and flexible|

$45 cubics at the exhibit Forms and Formulas, Lisbon$

45 cubics, series I (ball cut)
Gallery
45 cubics, series I (ball cut)

45 cubics, series I (ball cut)

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 Labs2018-09-27T10:40:31+02:0045 cubics series I (ball cut), all, cubic surfaces, exhibit "Forms and Formulas" (2012-2016, Lisbon), Ludwig Schläfli, strong and flexible|

$Barth sextic with 65 singularities, smoothed$

Barth’s sextic
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Barth’s sextic

Barth’s sextic

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.

Oliver Labs2017-08-28T09:31:06+02:00all, many singularities, sextic surface, strong and flexible|

$Sylvester's amphigenous surface$

Sylvester’s amphigenous surface
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Sylvester’s amphigenous surface

Sylvester’s amphigenous surface

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 Labs2017-03-27T09:54:29+02:00all, discriminant surfaces, nonic surface (degree nine), strong and flexible|

$Clebsch diagonal surface with colored double six$

The Clebsch diagonal surface with colored lines
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The Clebsch diagonal surface with colored lines

The Clebsch diagonal surface with colored lines

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 Labs2017-03-27T09:15:45+02:00Alfred Clebsch, all, Carl Rodenberg, Clebsch Diagonal Surface, for mathematicians, Ludwig Schläfli, multiple color sandstone|

$A smoothed Togliatti quintic with 31 singularities$

Smoothed Togliatti quintic
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Smoothed Togliatti quintic

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.

Oliver Labs2017-08-28T11:10:38+02:00all, Eugenio Giuseppe Togliatti, exhibit "Forms and Formulas" (2012-2016, Lisbon), exhibit at "Dutch Math Days" (January 2016), many singularities, quintic surface, strong and flexible|

$four pillows meet pendant in silver$

Four pillows meet pendant
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Four pillows meet pendant

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?

Oliver Labs2017-03-27T10:09:39+02:00algebraic geometry, all, for art lovers, for mathematicians, for teachers, pendants, precious metal, precious plated metal|

$six pillows' secret pendant in silver$

Six pillows’ secret pendant
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Six pillows’ secret pendant

Six pillows’ secret pendant

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 Labs2017-03-27T10:06:20+02:00algebraic geometry, all, for art lovers, for mathematicians, for teachers, pendants, precious metal, precious plated metal|

$Kummer surface smoothed in steel bronze$

A smoothed Kummer surface
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A smoothed Kummer surface

A smoothed Kummer 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.

Oliver Labs2017-08-28T10:31:07+02:00all, Ernst Eduard Kummer, exhibit "Forms and Formulas" (2012-2016, Lisbon), exhibit at "Dutch Math Days" (January 2016), for art lovers, for mathematicians, quartic surfaces, steel, strong and flexible|

$symmetric cubic with 27 lines - a MO-Labs model from Math-Sculpture.com$

Tetrahedral symmetric cubic
Gallery
Tetrahedral symmetric cubic

Tetrahedral symmetric cubic

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.

Oliver Labs2017-03-27T10:49:26+02:00all, cubic surfaces, strong and flexible|