How to get a 600-cell
In the three-dimensional space 5 tetrahedra can't share an edge because there will be a small hole between them. We can "fold them up" in the four-dimensional space and this will be the first step of the construction of the 600-cell, that is one of the six regular polytopes in dimension 4.
© matematita
immagine di Gian Marco Todesco
The image belongs to the sections...:
600-cell (4D geometry)
Further information:
http://www.toonz.com/personal/todesco