Göttingen Collection of Mathematical Models and Instruments

Projection of the four-dimensional 16-cell

Model 351

Dr. Victor SchlegelB V 1-4


Projection of the regular four-dimensional 16-cell into three-dimensional space. (left model in picture)


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

Showcase of this model is Case number 20


Schilling, Martin(Hrg.): Catalog mathematischer Modelle, Leipzig(Verlag von Martin Schilling) 1911, 7.Auflage, No.286. p. 155.

Separataband M1 im Mathematischen Institut p. 259-272.