Thingiverse

Polychora Studies

di DaveMakesStuff

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A polychoron, also known as a 4-polytope, is a four-dimensional shape. There are six regular convex 4-polytopes, the 5-Cell, 8-Cell, 16-Cell, 24-Cell, 120-Cell, and 600-Cell. You can learn more about them here: https://en.wikipedia.org/wiki/Regular_4-polytope

4-polytopes cannot be seen in three-dimensional space due to their extra dimension, but there are several techniques that can be used to “project” 4-polytopes into three-dimensional space. These studies use the cell-centered stereographic projection method, chosen for the interesting aesthetic appearance.

I've posted my three favourite here, the 24-Cell, 120-Cell, and 600-Cell. In each study, select cells have been removed to allow maximal viewing of the various cells, including the center cell. In the 120-cell and 600-cell, the outer cells have been removed to allow better visualization of the inner cells, and because their relative size is so large compared to the remaining cells.

While these three-dimensional shapes ha

120-cell 24-cell 600-cell dodecahedron four-dimensional Fourth Dimension math math art octahedron polychora polychoron polyhedra polyhedron polytope Schlfli shapes tetrahedron 120-cell 24-cell 600-cell dodecahedron four-dimensional Fourth Dimension math math art octahedron polychora polychoron polyhedra polyhedron polytope Schlfli shapes tetrahedron

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