The stereoptic image below, is a 120-Cell projected into 3-Space. These projections are orthogonal (there is no perspective). The edges shown in blue are the boundaries of the surfaces that enclose the 3-D form (Envelope) that are on the same side of the form as the viewer. See the Hypercube envelope page for instructions on how to view this figure.

42 Face Envelope

Stereo pair of a 120-Cell
This envelope is enclosed by 42 faces, 12 pentagons and 30 Hexagons. The hexagonal faces are actually flattened out dodecahedra, which means that they are a composite of 4 pentagons that actually occupy the same plane in this projection. The blue edges are the borders of the faces that make up the envelope on the viewer's side of the figure (ignoring the 4 pentagonal faces in the same plane). This figure has not been rotated in 4-space prior to it's projection into 3-space. The vertices are located as described by Coxeter in Regular Polytopes. The figure has been rotated in 3-space to reveal as much information as possible.

A very nice construction of the 120 cell can be seen on the theory.org site.
If you have Red/Blue 3-D Comic Book glasses the following figure, which is identical to the one above, may be easier to perceive.
Red/Blue Stereo image of a 120-cell

As you might expect, this envelope is the dual of the 600-Cell envelope.
Hyperspace120-Cell
Last Revision: 10/20/2001