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120-Cell Sculpture: Six Intertwining Rings

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120-Cell Sculpture: Six Intertwining Rings 3d model
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120-Cell Sculpture: Six Intertwining Rings 3d model
120-Cell Sculpture: Six Intertwining Rings 3d model
This model is restricted by licensing terms. 
13 Likes20 DownloadsApril 26, 2022
This model is restricted by licensing terms. 


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


13 Likes20 DownloadsApril 26, 2022





This model is restricted by licensing terms. 
13 Likes20 DownloadsApril 26, 2022
This model is restricted by licensing terms.