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 | 0.25 Cross-Section of Great Stellated 120-Cell |
The great stellated 120-cell is number 12 in the list of uniform polychora in
Stella4D,
with the abbreviated name "gishi". It is a regular polychoron, with 120
great stellated dodecahedra as its cells.
The model you see here is a 3D cross-section through that 4D polytope, taken
25% of the way through the model, along one of the 60 icosahedral symmetry
axes, and coinciding with 20 of the polychoron's vertices. In
Stella4D, use the yellow left and right
arrows in the top right part of the cross-section view to step through slices
that coincide with vertices of the model.
See this tutorial for some comments on
obtaining nets for building paper models of 4D polytopes.
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To ensure a robust model, I printed nets for a complete great stellated
dodecahedron (yellow) and built other parts around this.
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About half-way here. It's not too hard to put together.
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The above stage upside down.
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Here are all four gishi cross-sections taken at hyperplanes
which pass through successive vertices of the polytope, built at
appropriate relative sizes:
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And again with the city of Melbourne, Australia, as a backdrop.
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Here's an animation of the gishi cross-section as the slicing
hyperplane moves through the model.
Can you spot the four cross-sections above?
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