Rectified 24-Cell, Stereographic Projection, Large

When the midpoints of the 96 edges of the 4-dimensional 24-cell are used as vertices of a new polytope, we get the "rectified 24-cell", projected here first onto the circumscribing hypersphere in 4D, then projected into 3-space as a wire-frame model. It has 288 edges, and consists of 48 cells in 4D: 24 cubes, and 24 cuboctahedra. This projection does not preserve edge length, but it does preserve the edge intersection angles.This model is large, 14 cm across; I also have a smaller one for sale.