Slice (at 0.5) a 5-Hi (120-cell) with a hyperplane direction cell-1st. Do the same to a 6-Ex (600-cell), same depth but direction vertex-1st this time. Save the two slices (polyhedra) for comparing.
The 1st is the dual polyhedron of the latter and vice-versa. I've not gotten the exact same scale but ...

Cool, I didn't know there was such a thing. I believe it always works in 2D, that any non self-intersecting polygon can be divided into triangles just using the original vertices. I hadn't realised that the equivalent wasn't always possible in 3D.


Glad you liked it. I will try to post here ...

Stella4D is a great program - One feature I would like to see added is the ability to generate a convex polychoron, by using only the vertices - sort of a convex hull feature.
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May the Fourth (dimension) be with you.

I was just dreaming about the same matter. I would love to see ...

Hi everybody,

Here are the coordinates for the celebrated *Schonhardt's non- tetrahedrizable polyhedron*. Please copy the following in *txt* format, save with the extension *off* and open it with Stella. It's dead simple.
Enjoy! 8)

Schonhardt's polyhedron:

6 8 12
0.0 1.0 0.82644582514053474004 ...

Here is the OFF contents for Szilassi and Csaszar polyhedra:

Szilassi:

14 7 21
12.0 0.0 12.0
-12.0 0.0 12.0
0.0 12.6 -12.0
0.0 -12.6 -12.0
2.0 -5.0 -8.0
-2.0 5.0 -8.0
3.75 3.75 -3.0
-3.75 -3.75 -3.0
4.5 -2.5 2.0
-4.5 2.5 2.0
7.0 0.0 2.0
-7.0 0.0 2.0
7.0 2.5 2.0
-7.0 -2.5 2.0
6 0 1 13 ...