Previous Serie VII Next

Serie VII, Nr 5

Surface of order three with 4 real ordinary double points.


Mathematical description
The cubic surfaces are given by a homogeneous polynomial of degree 3. If the surface is smooth, it contains 27 lines. In case the surface has isolated singularities (or double points), some of the lines collapse. There is a Coxeter diagram associated with every double point. The singularities can be of type A1, A2, A3, A4, A5, D4, D5 and E6. There are only 20 possible combinations.
These models represent different affine forms of Serie VII, nr.2.

Title model and translation
Fläche dritter Ordnung mit 4 reellen C2.
Surface of order three with 4 real ordinary double points.

Text on Sticker and translation
Missing sticker.

Designer
Dr. Carl Rodenberg
Darmstadt in 1881

Company
Martin Schilling in Halle a.S.

Original price
Mark 12,-

Dimension
13-15 cm

Material
Plaster

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