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Serie VII, Nr 9

Surface of order three with three real A2 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.
This cubic surface has 3 A2 double points and 3 lines.

Title model and translation
Flächen dritter Ordnung; Fläche mit 3 reellen B3
Surface of order three with three real A2 double points.

Text on Sticker and translation
Fl. 3. Ord. mit 3 bipl. Knotenpktn. B3.
Surface of order three with three real A2 double points.

Designer
Dr. Carl Rodenberg
Darmstadt in 1881

Company
Martin Schilling in Halle a.S.

Original price
Mark 10,-

Dimension
11-15 cm

Material
Plaster

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