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# Reihe III, Nr 111

## Cube with two inscribed tetrahedrons, which is half of the surface, contains an
octahedron.

**Mathematical description**

The model represents the cube (in iron) and its inscribed octahedron (also in iron). One is the dual of the other. The dual of a
Platonic solid can be computed by connecting the midpoints of the faces, and constructing the corresponding polygon. The
model also illustrates two tetrahedra (in yellow string), whose intersection is the mentioned octahedron. The diagonals of the
cube are represented in pink string.

**Title model and translation**

Würfel mit zwei eingeschriebenen Tetraedern und dern diese als Halbflächner enthaltenden
Oktaeder.

Cube with two inscribed tetrahedrons, which is half of the surface, contains an octahedron.

**Text sticker and translation**

No sticker.

**Designer**

Unknown

**Company**

H. Wiener in Darmstadt

**Original price**

Mark 16,-

**Dimension**

32-32-32 cm

**Material**

String

**Literature**

Verzeignis Mathematischer modelle; H. Wieners sammlung mathematischer modelle, Verlagsbuchhandlung
B.G.Teubner, Leipzig, 1905