The images below are all projections of the same figure rotated to different degrees about the 6 planes of rotation. They are presented here because I find them visually interesting. They represent just a few of the many forms this figure can take. The first 2 exhibit significant edge coincidence.
This image was projected to the xy plane without any rotation in 4-space. Even though there is a high degree of edge coincidence (or perhaps because of it), the dodecahedral cells are easily picked out.
This image has strong hexagonal symmetry. In the center is a very clear projection of a dodecahedron, surrounded be 6 others. Actually each dodecahedral cell is surrounded by 12 other dodecahedral cells. The other 6 are there.
This view shows all the edges (I think). You can start picking out the dodecahedral cells by looking for the tall skinny "house" shapes. Once you have fixed on one look for another close by that is turned upside-down relative to the first and start filling in the missing pentagons. It is fairly easy to pick out the 3 pentagonal faces that surround an edge. Start with a tall skinny house and look for 2 others joined at its shortest edge.
This view is strangely lacking in radial symmetry, when compared to the others. Many of the faces are presented edge on. It's 4-space rotation is the same as this 600-cell.
Hyperspace120-Cell
Last revision 9/1/96