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# Serie II, Nr 1b

## Model of a Kummer surface. Eight 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 models illustrates the case where the 8 double points are real.

**Title model and translation**

Modelle der Kummer'schen Fläche. Acht Knotenpunkte reell.

Model of a Kummer surface. Eight double points are real.

**Text on Sticker and translation**

There is no sticker on this model.

**Designer**

K. Rohn under the supervision of Dr. Klein

München in 1877

**Company**

Martin Schilling in Halle a.S.

**Original price**

Mark 32,50

**Dimension**

30-20 cm

**Material**

Plaster

**Literature**

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