Previous Serie VII Next

Serie VII, Nr 25

Surface of order three. Hessian surface for model VII, 7.


  

Mathematical description
Let S be a surface in the projective space given by a homogeneous polynomial equation f(x1, x2, x3, x4) = 0. The Hessian surface is given by:
H = | δ2f |
δxiδxj
Let d be the degree of f, then the Hessian surface will have degree 4(d-2).
This model represents the Hessian surface of the cubic surface with 3 A1 double points. The Hessian surface has then 13 double points and they are all real.

Title model and translation
Fläche dritter Ordnung. Hesse'sche Fläche zu modelle VII, 7.
Surface of order three. Hessian surface for model VII, 7.

Text on Sticker and translation
Hesse'sche Fl. einer Fl. 3. Ord.
Hessian surface of order three.

Designer
Dr. Carl Rodenberg
Darmstadt in 1881

Company
L. Brill in Darmstadt

Original price
Mark 40

Dimension
21-25 cm

Material
Plaster

Literature
Schilling, M., Catalog mathematischer Modelle für den höheren mathematischen Unterricht, Leipzig: Verlag von Martin Schilling, 1911