Mathematical Model – Cube and Octahedron, Inscribed

Coxeter Collection · Mathematics

Accession Number: 2016.mat.23

Instrument Name:

Mathematical Model – Compound of 5 Octahedra


An assembly of transparent yellow, purple, and green coloured plastic sticks joined at their ends by rubber bands. The description in the Department of Mathematics display reads as follows:

“By moving the vertices of the octahedron towards the centre of the model one gets the octahedron inscribed in the cube, by moving them out one gets the cube inscribed in the octahedron.”

Primary Materials: Plastic, rubber

Dimensions (cm): Longest dimension = 25 cm

Function: Pedagogical mathematical model.


Good/ Fair: The rubber bands that bind this model together are deteriorating. Some have come apart completely.

Date of Manufacture: c. 1960

Donated to UTSIC: No