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Serie VII, Nr 19

Surface of order three with a E6 double point.


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 one E6 double point and contains 1 line.

Title model and translation
Flächen dritter Ordnung; Fläche mit U8.
Surface of order three with a E6 double point.

Text on Sticker and translation
Fl. 3. Ord. mit unipl. Knotenpunkt U8.
Surface of order three with an E6 double point.

Designer
Dr. Carl Rodenberg
Darmstadt in 1881

Company
Martin Schilling in Halle a.S.

Original price
Mark 7,50

Dimension
12-15 cm

Material
Plaster

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