This non-convex polyhedron illustrates three related equations: 60 = (12)(5) — twelve sets of five yellow hexagons, 60 = (30)(2) — thirty pairs of red isosceles triangles, and 60 = (20)(3) — twenty sets of three yellow hexagons.
For a second look at this polyhedron, I made the triangles invisible, and then put the rest of the model in “rainbow color mode.”
I made both of these images using Stella 4d, which you can try for free at this website.
I made this using Stella 4d, which is available as a free trial download right here. It could also be viewed as a dodecahedron augmented with pentagonal frustrums.
I made this using Stella 4d, which you can try for free right here. In the image above, the two components of this compound are given separate colors. In the second picture, below, the coloring is per face, except for parallel faces, which have the same color.
To make this, I started by using the “morph duals by truncation” function in Stella 4d (available here) on a rhombicosidodecahedron. After converting the result to the base model, I then applied the “morph duals by expansion” function.
The second image shown here was made by applying “rainbow color mode” to the polyhedron above.
We just got back from a vacation to Texas. One of the fun things we did there was visiting Inner Space Cavern in Georgetown, where I took these pictures.
I made this using Stella 4d, which you can try for free right here.
I made this using Stella 4d, which you can try for free at this website.
Both of these prisms have 28-pointed stars as bases. I made them using Stella 4d: Polyhedron Navigator, which you can try for free right here.
I made this using Stella 4d, which is available here.
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