 | 3D Net of Cantitruncated Tesseract (308-Grit) |
The cantitruncated tesseract is number 308 in the list of uniform polychora in
Stella4D,
with the abbreviated name "grit". It has 56 cells:
8
truncated cuboctahedra (blue),
16
truncated tetrahedra (yellow) and
32 triangular prisms (red). This model represents a net of
the 4D polytope, unfolded into 3D space. This is analogous to unfolding the
faces of a cube from 3D into 2D space.
See this tutorial for some comments on
obtaining nets for building paper models of 4D polytopes.
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The cells of the 4D polytope consist of these three types of cells.
The cells are all Archimedean solids.
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Here are all the cells constructed, ready to be glued together.
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Start with a truncated cuboctahedron (blue), and glue other cells to
every face. I recommend attaching the smallest cells first (the red
triangular prisms). Be careful to get the orientation right.
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Then attach the medium sized cells (the yellow truncated tetrahedra).
Again being careful with the orientation.
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Then attach 6 more truncated cuboctahedra to the first. Being careful
once more with the orientation. At this point the original truncated
cuboctahedron is completely hidden. Proceed to attach the remaining
cells, taking care to place them correctly.
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Here's what the 4D polytope looks like projected into 3D, and with the
blue truncated cuboctahedra hidden.
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