Balls and Straws
The 16Cell
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 16cell.
Carefully inspecting the model,
one may also find the images of the 16 tetrahedra and the 32 triangular faces.

The 16Cell, 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 16Cell.
A Projection of the 16Cell.
A Projection of the 16Cell.
Index to Balls and Straws
Index to Polyhedra
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