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Serie II, Nr 1a

Model of a Kummer surface. All sixteen double points are real.


Mathematical description
A surface of degree 4 in complex projective space can have at most 16 ordinary double points. Quartic surfaces which do have this number of double points are called Kummer surfaces. These surfaces have a beautiful structure, called the Kummer's (16,6) configuration. That means that there are 16 planes (called tropes in the classical literature) each of which contains 6 double points and through each of the 16 double points pass 6 of the planes. A Kummer surface can have 16, 8, 4, 2 or 0 real double points.
The model illustrates the case where all 16 double points are real.

Title model and translation
Modelle der Kummer'schen Fläche. Alle sechzehn Knotenpunkte sind reell.
Model of a Kummer surface. All sixteen double points are real.

Text on Sticker and translation
Kummer'sche Fläche.
Kummer surface.

Designer
K. Rohn under the supervision of Dr. Klein
München in 1877

Company
Martin Schilling in Leipzig.

Original price
Mark 28,-

Dimension
21-21-18 cm

Material
Plaster

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