News2017-03-27T09:57:04+02:00

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Equations for lines and circles

This post explains briefly how lines and circles may be described by equations. A particular focus are implicit equations which will play an important role in later posts in the category "equations and shapes" on math-sculpture.com.

Equations and Shapes

This post explains briefly how lines and circles may be described by equations. A particular focus are implicit equations which will play an important role in later posts in the category "equations and shapes" on math-sculpture.com.

A Quintic with 15 Cusps

The quintic with 15 cusps is a so-called world record surface: To our knowledge, it is not known if there may be a quintic with more than 15 cusps although it is known that a quintic cannot have more than 20 cusps.

45 cubics, series II (cylinder cut), 15cm

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.

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. This one shows more tunnels than our other version.

Moebius Strip ring

The Moebius Strip is a mathematical classic, and even for rings it has been used for many decades at least. Our version of the Moebius Strip ring, however, is special. Its shape is defined by a mathematical formula!

Moebius Strip pendant

The Moebius Strip is a mathematical classic, and even for pendants it has been used for many decades at least. Our version of the Moebius Strip pendant, however, is special. Its shape is defined by a mathematical formula!

Moebius Strip pendant

The Moebius Strip is a mathematical classic, and even for rings it has been used for many decades at least. Our version of the Moebius Strip pendant, however, is special. Its shape is defined by a mathematical formula!

A math vase of degree 3 without bottom

A math vase of degree 3 without bottom. It has been created by rotating a graph of a polynomial of degree 3 about an axis.

A math vase of degree 3

A math vase of degree 3. It has been creating by rotating a graph of a polynomial of degree 3 about an axis.

Space curve in a cube with projections (1b)

This space curve in a cube with projections (1b) is a math classic. Use a torch to compare the projections of the space curve (in the center) on a plane with the 3d-printed ones.

Space curve in a cube without projections (1a)

This space curve in a cube is a math classic. To view its projections on a plane, just take a torch (or your cell phone lamp).

A trefoil knot pendant

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

Cubic surface KM 42 pendant

Cubic surfaces are a math model classic from the 19th century. We provide one of our favourite examples (cubic surface KM 42) in the form of a pendant.

Speed Curve pendant

At first sight, our speed curve pendant might seem to consist of some arbitrary wire. But this is not true at all. Almost every detail is defined by mathematical formulas.

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.

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.

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.

Boy and Möbius in the family room

The Moebius strip is a simple, but fascinating math object, with just one side and one connected boundary curve. Werner Boy's surface contains such strips!

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.

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.

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.

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.

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.

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.

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