in public Archives – mathematical sculptures by MO-Labs

Category: In public

Exhibition “Forms and Formulas”, some large models and the 45 cubics

In this category “in public”, we summarize posts which present math sculptures which appeared in public events or in other publications such as articles or books.

Note that we are stil beginning to put our math models online into this catalogue. So, many objects which were presented in earlier events or publications are not yet shown here yet. We start to put online math objects from current and most recent events.

$Trefoil Knot Pendant - math jewelry on math-sculpture.com$

A trefoil knot pendant
Gallery
A trefoil knot pendant

A trefoil knot pendant

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

Oliver Labs2017-03-27T09:21:50+02:00algebraic space curve, all, exhibit "Forms and Formulas" (2012-2016, Lisbon), for art lovers, for mathematicians, for teachers, knots, pendants, precious metal, sine / cosine based curves, steel, strong and flexible|

$a gyroid - a MO-Labs math object on math-sculpture.com, a shapeways render$

A gyroid, round cut
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A gyroid, round cut

A gyroid, round cut

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 Labs2017-03-27T09:23:51+02:00all, curvature, exhibit "3d print studio" (2017-2018, at Cuyperhuis, Netherlands), for mathematicians, Minimal Surfaces, strong and flexible|

$a 3d graph of a cubic function - a MO-Labs model on math-sculpture.com$

A 3d graph of a cubic function
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A 3d graph of a cubic function

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.

Oliver Labs2017-03-30T09:01:05+02:003d-graph, all, cubic surfaces, exhibit "3d print studio" (2017-2018, at Cuyperhuis, Netherlands), strong and flexible|

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

45 cubics, series I (ball cut)
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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|

$A smoothed Togliatti quintic with 31 singularities$

Smoothed Togliatti quintic
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Smoothed Togliatti quintic

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|

$Kummer surface smoothed in steel bronze$

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|

Dancing torus knot
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Dancing torus knot

Dancing torus knot

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 Labs2017-03-27T09:58:19+02:00all, curvature, exhibit "3d print studio" (2017-2018, at Cuyperhuis, Netherlands), for art lovers, for mathematicians, knots, speed curves series, strong and flexible|

$Clebsch diagonal surface with two planes - by MO-Labs$

The Clebsch diagonal surface with two planes
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The Clebsch diagonal surface with two planes

The Clebsch diagonal surface with two planes

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.

Oliver Labs2017-03-27T09:09:53+02:00Alfred Clebsch, all, article "Straight lines on models of curved surfaces" (2017), Clebsch Diagonal Surface, for mathematicians, multiple color sandstone|

$cubic with four singularities - a MO-Labs model on Math-Sculpture.com$

The Cayley/Klein cubic with four singularities in the family room
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The Cayley/Klein cubic with four singularities in the family room

The Cayley/Klein cubic with four singularities in the family room

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.

Oliver Labs2017-03-27T10:57:51+02:00all, Arthur Cayley, article "Straight lines on models of curved surfaces" (2017), Carl Rodenberg, cubic surfaces, Felix Klein, math sculptures in context, strong and flexible|

$Clebsch diagonal surface in the family room$

The Clebsch diagonal surface in the family room
Gallery
The Clebsch diagonal surface in the family room

The Clebsch diagonal surface in the family room

Our modern version of Clebsch's historical - nowadays quite famous - diagonal surface model is the main figure in our photo from the series "math sculptures in context". It is the pure white version with the 27 straight lines.

Oliver Labs2017-08-28T11:49:01+02:00Alfred Clebsch, all, article "Straight lines on models of curved surfaces" (2017), Carl Rodenberg, Clebsch Diagonal Surface, for mathematicians, math sculptures in context, strong and flexible|