120-Cell Sculpture: Six Intertwining Rings

This sculpture highlights the edges of sets of intertwining rings related to Hopf fibrations within the four-dimensional 120-cell 4-polytope.

Because the shapes exist in four-dimensional space, special mathematical techniques are required to visualize them. These sculptures are made using the cell-centered stereographic projection method to create three-dimensional “shadows” of the original four-dimensional shapes.

The 120-cell is one of six regular convex four-dimensional shapes. It is composed of 120 dodecahedral cells and can be partitioned into twelve 10-cell great circle rings related to the Hopf fibrations. The lines in this sculpture outline the edges of six of the intertwining rings, for a total of 60 cells.

See here for more related 120 Cell projects: 120 Cell Study: https://thangs.com/mythangs/file/63695 120 Cell Rings: https://thangs.com/mythangs/file/63697 120 Cell Polychora Planter: https://thangs.com/mythangs/file/64633 120 Cell Sculpture: Two Solid Rings: https://thangs.com/mythangs/file/64702 120 Cell Sculpture: Six Intertwining Rings: https://thangs.com/mythangs/file/63899 120 Cell Sculpture: Two Intertwining Rings: https://thangs.com/mythangs/file/64700 120 Cell Platter: https://thangs.com/mythangs/file/26199