Göttingen Collection of Mathematical Models and Instruments

Projection of the four-dimensional 8-cell

Model 350

Dr. Victor SchlegelB V 1-4


Projection of the regular four-dimensional 8-cell into three-dimensional space. (right model in picture)


The 8-cell is a regular polytope in four-dimensional space. Its boundary consists of 8 cubes, and contains 24 surfaces, 32 edges and 16 vertices.

Showcase of this model is Case number 20


Schilling, Martin(Hrg.): Catalog mathematischer Modelle, Leipzig(Verlag von Martin Schilling) 1911, 7.Auflage, No.285. p. 155.

Separataband M1 im Mathematischen Institut p. 259-272.