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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.
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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.
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Start gluing the cells together.
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The one undistorted octahedron goes right in the middle. It remains
undistorted because it lies in a hyperplane orthogonal to our viewing
direction.
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Taking form. Once the central spider is constructed, the outer arms
can be glued in place.
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A close up of the inner part.
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