The components of this compound are eight-faced trapezohedra. Here’s what just one of them looks like:
I made these images using Stella 4d, which you can try for free right here.
I made this using Stella 4d, which you can try for free right here.
Twelve heptagonal antiprisms, meeting at triangular faces, can make a ring with only a small gap remaining. It’s a “near miss,” made using Stella 4d, which you can try for free right here.
If you don’t want to view part of this as “negative space,” you can instead view the black regions as concave heptaicosagons (27-gons).
This polyhedron contains, as faces, 12 regular decagons, 20 regular hexagons, 30 squares, and 120 irregular hexagons. I made it using Stella 4d, which you can try for free at this website.
This symmetrohedron has four faces which are regular hexagons, 24 which are regular pentagons, and four which are equilateral triangles. It also has twelve faces which are acute isosceles triangles, as well as twelve more which are obtuse isosceles triangles. I made it using Stella 4d, which you can try for free here.
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