 | Cantitruncated Tesseract (308-Grit) |
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| As seen in Stella4D |
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 (hidden),
16
truncated tetrahedra (yellow) and
32 triangular prisms (red). This model represents a perspective projection of
the 4D polytope into 3D space, with the truncated 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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These are the three types of cell that make up this polychoron, with
matching colours (the blue cells are hidden). Can you identify where
each cell goes? They are distorted by the perspective projection from
4D to 3D.
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Let's start building the model. Here are the different kinds of net
printed by Stella4D. Initially it wanted to combine the two large
yellow nets, but I used Cutting Mode to separate these since I felt it
would make construction more difficult.
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Start by putting together the central part. It's pretty straight
forward.
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The central part is nearing completion.
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The central part is complete and one of the larger yellow parts is
attached. This makes a nice model on its own!
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Continue outwards. I found that the model took some coaxing to line up
in the outer layer, I suppose because there are so many parts connected
in multiple ways due to all the holes, but it turned out pretty well.
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A slightly different view of the same model.
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You can see how big the model is here, with Stella4D running in the
background showing the same model.
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Here's a net of the 4D polytope unfolded into 3D space.
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