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Cantellated Pentachoron (133-Srip)

The cantellated pentachoron is number 133 in the list of uniform polychora in Stella4D, with the abbreviated name "srip". It has 20 cells: 5 cuboctahedra (hidden), 5 octahedra (green) and 10 triangular prisms (red). This model represents a perspective projection of the 4D polytope into 3D space, with the cuboctahedral cells hidden to reveal the internal structure.

See this tutorial for some comments on obtaining nets for building paper models of 4D polytopes.

For this model, I decided to make each individual cell first, then glue them together. Here are the different individual cells. The two green cells are octahedra. You can see one is distorted by the projection. The two red cells are triangular prisms, both distorted.
Start gluing the cells together.
The one undistorted octahedron goes right in the middle. It remains undistorted because it lies in a hyperplane orthogonal to our viewing direction.
Taking form. Once the central spider is constructed, the outer arms can be glued in place.
A close up of the inner part.

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