Balls and Straws
The 16-Cell

Stella Octangula.

The vertices of a cube coincide with the vertices of a compound of two regular tetrahedra. Remarkably, the union of the 12 edges of the tetrahedra and the 12 edges of the cube coincide with the projected edges of the regular 16-cell. Carefully inspecting the model, one may also find the images of the 16 tetrahedra and the 32 triangular faces.


The 16-Cell, Projected to a Cube.

Triality Models.

The next three models exhibit a phenomenon of triality. One may find an explanation of this here.


A Projection of the 16-Cell.


A Projection of the 16-Cell.


A Projection of the 16-Cell.









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Index to Polyhedra
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