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 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.
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.
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 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.
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.