It has the same
edge arrangement as the
great grand 120-cell, and also shares its 120 vertices with the
600-cell and eight other regular star 4-polytopes. It may also be seen as the
first stellation of the 120-cell. In this sense it could be seen as analogous to the three-dimensional
small stellated dodecahedron, which is the first stellation of the
dodecahedron. Indeed, the small stellated 120-cell is dual to the
icosahedral 120-cell, which could be taken as a 4D analogue of the
great dodecahedron, dual of the small stellated dodecahedron. The edges of the small stellated 120-cell are
τ2 as long as those of the 120-cell core inside the 4-polytope. == See also ==