Polychora Platters

thingiverse

These platters highlight the edges of cells within the 120-cell and 600-cell four-dimensional polychora visualized using a cell-centered stereographic projection. See here for video: https://youtu.be/4JEpa75uOyA See here for stable download: https://thangs.com/mythangs/file/26200 https://thangs.com/mythangs/file/26199 Four-dimensional geometry is incredibly difficult to visualize and understand. It can be helpful to break the shapes up into smaller clusters of cells. For each of these pieces, outer cells have been removed and inner cells have been selected in ways that highlight interesting patterns and relationships. The “600-cell Platter” contains 189 of the full 600 tetrahedral cells. The “120-cell Platter” contains 25 of the full 120 dodecahedral cells. This project was inspired by the book "Visualizing Mathematics with 3D Printing" by Henry Segerman.